
Prof. Sasmita Barik
Head, Department of Mathematics
Professor
- Office: 334, SBS
- +91 674-7135142
- sasmita@iitbbs.ac.in
- Department of Mathematics
Research Interests:
Combinatorial Matrix Theory; Spectral Graph Theory
- Biosketch
- Teaching
- Mentoring
- Honours & Awards
- Projects
- Publications
- Conferences
- Professional Experience
- Others
Welcome to my homepage!
I am a Professor in Mathematics, at the Department of Mathematics, Indian Institute of Technology Bhubaneswar, India. Prior to joining IIT Bhubaneswar, I was an Assistant Professor at the Institute of Mathematics and Applications, Bhubaneswar, India. Before that I was a Postdoctoral Fellow at the University of Regina, Canada under Prof. Steve Kirkland and Prof. Shaun M. Fallat and a Postdoctoral Fellow at Indian Statistical Institute, Delhi under Prof. R. B. Bapat. I received my Ph.D degree from Indian Institute of Technology Guwahati, India in 2007 under Prof. Sukanta Pati. My research interests include Combinatorial Matrix Theory and Spectral Graph Theory.
I am also working as an associate editor of SIAM Undergraduate Research Online (SIURO).
Conferences of Interest (Upcoming travel)
- (Series of Talks) 4th Meru Combinatorics Conference, IIT Bhilai, May 2026
- (Invited Talk) 12th Annual International Conference on Algorithms and Discrete Mathematics (CALDAM 2026), IIT Dharwad, February 9-10, 2026
- (Invited Talk) International Conference on Linear Algebra and its Applications (ICLAA 2025), MAHE, Manipal, December 17-20, 2025
- (Invited Talk) International Conference on Discrete Mathematics (ICDM-2025), Bharathidasan University, Tiruchirappalli, December 11-13, 2025
- (Series of Talks) Workshop on Graphs, Matrices, and Applications, IIT Hyderabad, September 29 to October 4, 2025
- (Plenary talk) Groups and Graphs, Algebras and Applications (G2A2-2025), Novosibirsk State University, Novosibirsk, Russia, Augugust 3-17, 2025
- Workshop on Graph Theory and Computations, Indian Institute of Information Technology Dharwad, July 21-25, 2025
- 26th Conference of the International Linear Algebra Society (ILAS-2025), Kaohsiung, Taiwan, June 23-27, 2025
- International Conference on Operations Research and Decision Science (ICORDS 2025), MAHE, Manipal, June 5-7, 2025
- Workshop on Theoretical, Algorithmic, and Spectral Approaches in Graph Theory (TAS-GT), IIT (ISM) Dhanbad, May 9-11, 2025
- National Conference on Recent Developments in Mathematical Sciences (NCRDMS- 2025), CU Hyderabad, Feb 5-7, 2025
- Joint Mathematics Meetings (JMM 2025), Seattle Convention Center, Seattle, WA, USA, January 8-11, 2025
- WinCom (Women in Combinatorics) Virtual Conference 2024, July 15-16, 2024
- Combinatorics 2024, Carovigno (Br), Italy, June 3-7, 2024
- International Conference on Discrete Mathematics (ICDM-2024), Pune University, June 7-10, 2024
- 38th Annual Conference of Ramanujan Mathematical Society (RMS 2023), IIT Guwahati, December 22-24, 2023
- 25th Conference of the International Linear Algebra Society (ILAS-2023), Universidad Politécnica de Madrid, Madrid, June 12-16, 2023
-
Autumn 2025: Graph Theory (ITEP 5th Semester)
-
Spring 2025: Algebraic Graph Theory (Ph.D/ M.Sc. 4th Sem/ B.Tech 8th Sem), Seminar II (M.Sc. 2nd Semester)
-
Autumn 2024: Numerical Techniques (B.Tech 5th Semester)
-
Spring 2024: Mathematics II (B.Tech 2nd Semester)
-
Autumn 2023: Linear Algebra (M.Sc. 1st Semester)
-
Spring 2023: Algebraic Graph Theory (Ph.D/ M.Sc.)
-
Autumn 2022: Discrete Mathematics (M.Sc. 1st Semester), Preparatory Mathematics-I (B.Tech Preparatory)
-
Spring 2022: Algebra (M.Sc. 2nd Semester), Preparatory Mathematics-II (B.Tech Preparatory)
-
Autumn 2021: Discrete Mathematics (M.Sc. 1st Semester), Non-Negative Matrix Theory (Ph.D/ M.Sc.)
-
Spring 2021: Mathematics II (B.Tech 2nd Semester), Algebra (M.Sc. 2nd Semester)
-
Autumn 2020: Discrete Mathematics (M.Sc 1st Semester), Algebraic Graph Theory (M.Sc/ Ph.D)
-
Spring 2020: Mathematics II (B.Tech 2nd Semester), Numerical Analysis (M.Sc. 2nd Semester)
-
Autumn 2019: Mathematics I (B.Tech 1st Semester), Discrete Mathematics (M.Sc. 1st Semester), Algebraic Graph Theory (M.Sc/Ph.D)
-
Spring 2019: Mathematics II (B.Tech. 2nd Semester), Number Theory (M.Sc. 4th Semester)
-
Autumn 2018: Linear Algebra (M.Sc. 1st Semester), Discrete Mathematics (M.Sc 1st Semester), Seminar-I (M.Sc 1st Semester)
-
Spring 2018: Mathematics II (B.Tech. 2nd Semester), Number Theory (M.Sc. 4th Semester)
-
Autumn 2017: Discrete Mathematics (M.Sc 1st Semester), Advanced Matrix Theory (M.Sc 3rd Semester)
-
Spring 2017: Algebra (M.Sc 2nd Semester), Number Theory (M.Sc 4th Semester)
-
Autumn: 2016: Linear Algebra (M.Sc. 1st Semester), Advanced Matrix Theory (M.Sc 3rd Semester)
-
Spring 2016: Mathematics II (B.Tech 2nd Semester), Advanced Matrix Theory (M.Sc 4th Semester), Nonnegative Matrix Theory (Ph.D)
-
Autumn 2015: Discrete Mathematics (M.Sc 1st Semester), Number Theory (M.Sc. 3rd Semester), Algebraic Graph Theory (Ph.D)
-
Spring 2015: Mathematics II (B.Tech 2nd Semester), Algebra (M.Sc 2nd Semster), Algebraic Graph Theory (Ph.D)
-
Autumn 2014: Discrete Mathematics (M.Sc. 1st Semester), Advanced Matrix Theory (M.Sc 3rd Sem), Non-negative Matrix theory (Ph.D)
-
Spring 2014: Mathematics II (B.Tech 2nd Semester), Algebra (M.Sc 2nd Semester), Seminar-II (M.Sc 2nd Semester)
-
Autumn 2013: Discrete Mathematics (M.Sc 2nd Semester), Algebraic Graph Theory (Ph.D)
-
Spring 2013: Mathematics II (B.Tech 2nd Semester), Nonnegative Matrix Theory (Ph.D)
-
Autumn 2012: Transform Calculus (B.Tech 3rd Semester), Preparatory Mathematics I (B.Tech Preparatory)
-
Spring 2012: Mathematics II (B.Tech 2nd Semester)
Ph.D
Continuing:
- Arnab Sikder: Joined in January 2025 (Institute)
- Subhadip Giri: Joined in January 2024 (UGC)
- Pragati Asutosh Jena: Joined in July 2022 (CSIR)
- Piyush Verma: Joined in January 2021 (Institute)
Completed:
- Debabrota Mondal: On the reciprocal eigenvalue properties and the smallest positive eigenvalue of graphs (Thesis Submitted) (CSIR)
- Sane Umesh Reddy: On spectral properties of cographs and matrices associated with multidigraphs (Awarded in April 2024) (UGC)
- Subhasish Behera: The smallest positive eigenvalue of bipartite graphs with a unique perfect matching (Awarded in Aug 2023) (CSIR)
- Sonu Rani: The smallest positive eigenvalue of graphs (Awarded in October 2021) (CSIR)
- Gopinath Sahoo: Eigensystems of graphs and multidigraphs (Awarded in July 2018) (UGC)
Postdoctoral Fellows
- Tahir Shamsher (December 2023- Continuing)
M.Sc
- Continuing: 1
- Completed: 26
Interns
- Completed: 1
- Chebyshev Grant, ICM-2022
- Associate Editor, SIAM Undergraduate Research Online (SIURO), 2021-23, 2024-26
- ICM Travel Grant-2018 from National Board for Higher Mathematics, 2018
- Postdoctoral Fellowship from University of Regina, Saskatchewan, Canada, 2008
- Postdoctoral Fellowship from Indian Statistical Institute, India, 2007
- Qualified JRF (with NET), in Mathematical Sciences by CSIR, India, 2002
- Qualified GATE in Mathematical Sciences, 2002
- University First Rank Holder and the GOLD MEDALIST in Masters Degree, Utkal University, Bhaubaneswar, India, 2001
- National Scholarship, MHRD, Govt. of India, 1999-2001
- University Fourth Rank Holder in Bachelors Degree, Utkal University, Bhaubaneswar, India, 1999
Projects
1. Project Title: Spectra of graphs and their applications to complex networks, MATRICS research grant
Duration: 2018-21
Funding Agency: SERB, DST
Status: Completed
2. Project Title: Laplacian spectra of product graphs
Duration: 2012-14
Funding Agency: IIT Bhubaneswar
Status: Completed
Travel Grants
-
-
- International Travel Support (ITS), SERB-DST, 2024
- Chebyshev Grant, ICM-IMU, 2022
- ICM Travel Grant, NBHM-DAE, 2018
-
- Sasmita Barik and Sane Umesh Reddy, On principal minors and determinants of complex Laplacian and complex signless Laplacian matrices of multidigraphs, Linear and Multilinear Algebra, Accepted.
-
Sasmita Barik and Piyush Verma, Bounds for the smallest positive eigenvalue of unicyclic graphs with diameter at most 4, Discrete Mathematics, 348(11):114574, (2025). DOI: 10.1016/j.disc.2025.114574
-
Sasmita Barik and Debabrota Mondal, On the limit points of the smallest positive eigenvalues of graphs, Linear Algebra and its Applications, 715:1–16, (2025). DOI: 10.1016/j.laa.2025.03.006
-
Sasmita Barik and Subhasish Behera, On the smallest positive eigenvalue of caterpillar unicyclic graphs, Discrete Applied Mathematics, 367:89–98, (2025). DOI: 10.1016/j.dam.2025.02.002
-
Sasmita Barik, Madhab Mondal, and Sirshendu Pan, A q-analogue of the distance matrix of a tree with matrix weights, Linear and Multilinear Algebra, 73(7):1423–1447, (2025). DOI: 10.1080/03081087.2024.2430954
-
Sasmita Barik, Subhasish Behera, and Steve Kirkland, Bipartite unicyclic graphs with a unique perfect matching having the smallest positive eigenvalue equal to √2−1, Linear and Multilinear Algebra, 73(6):1019–1039, (2025). DOI:10.1080/03081087.2024.2404453
-
Sasmita Barik and Tahir Shamsher, Sharp lower bounds for the Laplacian Estrada index of graphs, Linear and Multilinear Algebra, 73(5):849–864, (2025). DOI: 10.1080/03081087.2024.2396132
-
Sasmita Barik and Piyush Verma, On spectral properties of neighbourhood second Zagreb matrix of graphs, Communications in Combinatorics and Optimization, 10(2):275–293, (2025). DOI: 10.22049/CCO.2023.28424.1546
-
Sasmita Barik, Debabrota Mondal, Sukanta Pati, and Kuldeep Sarma, Corrigendum to “Singular graphs and the reciprocal eigenvalue property” [Discrete Math. 347 (2024) 114003], Discrete Mathematics, 348(1):114198, (2025). DOI: 10.1016/j.disc.2024.114198
-
Sasmita Barik and Pragati Asutosh Jena, Brouwer’s conjecture for the corona and edge corona of graphs, AKCE International Journal of Graphs and Combinatorics, Accepted, (2024).
-
Sasmita Barik and Piyush Verma, On the neighborhood first Zagreb spectral radius and the neighborhood first Zagreb energy of graphs, AKCE International Journal of Graphs and Combinatorics, Accepted, (2024).
- Sasmita Barik, Rajiv Mishra, and Sukanta Pati, On non-bipartite graphs with strong reciprocal eigenvalue property, Linear Algebra and its Applications, 699:107-128, (2024). DOI: 10.1016/j.laa.2024.06.023
- Sasmita Barik, Debabrota Mondal, Sukanta Pati, and Kuldeep Sarma, Singular graphs and the reciprocal eigenvalue property, Discrete Mathematics, 347(7):114003, (2024). DOI: 10.1016/j.disc.2024.114003
- Sasmita Barik and Piyush Verma, On spectral properties of token graphs, Linear Algebra and its Applications, 687:181–206, (2024). DOI: 10.1016/j.laa.2024.02.004
- Sasmita Barik, Subhasish Behera, and Sukanta Pati, On the smallest positive eigenvalue of bipartite graphs with a unique perfect matching, Discrete Applied Mathematics, 347: 311–318, (2024). DOI: 10.1016/j.dam.2024.01.029
- Sasmita Barik and Sane Umesh Reddy, On the A_c-rank of multidigraphs, Aequationes Mathematica, 98:189–213, (2024). DOI:10.1007/s00010-023-01020-6
- Sasmita Barik and Piyush Verma, On spectral properties of neighbourhood second Zagreb matrix of graphs, Communications in Combinatorics and Optimization, (2024). DOI: 10.22049/CCO.2023.28424.1546
- Sasmita Barik and Subhasish Behera, On integer matrices with integer eigenvalues and Laplacian integral graphs, Discrete Mathematics, 347 (1):113707, (2024). DOI: 10.1016/j.disc.2023.113707
- Sasmita Barik and Subhasish Behera, On the smallest positive eigenvalue of bipartite unicyclic graphs with a unique perfect matching II, Linear and Multilinear Algebra, 72(8):1356–1374, 2024. DOI:10.1080/03081087.2023.2177247
- Sasmita Barik and Sane Umesh Reddy, Laplacian spectra of cographs: A twin reduction perspective, Linear Algebra and its Applications, 675:203–224, (2023). DOI: 10.1016/j.laa.2023.06.022
- Sasmita Barik, Sane Umesh Reddy and Gopinath Sahoo, On singularity and properties of eigenvectors of complex Laplacian matrix of multidigraphs, AKCE International Journal of Graphs and Combinatorics, 20(2):125–133, (2023). DOI: 10.1080/09728600.2023.2234014
- Sasmita Barik and Sane Umesh Reddy, Number of cycles of small length in a graph, AKCE International Journal of Graphs and Combinatorics, 20(2):134–147, (2023). DOI: 10.1080/09728600.2023.2234421
- Sasmita Barik and Subhasish Behera, On the smallest positive eigenvalue of bipartite unicyclic graphs with a unique perfect matching, Discrete Mathematics, 346(2):113252, (2023). DOI: 10.1016/j.disc.2022.113252
- Sonu Rani and Sasmita Barik, Upper bounds on the smallest positive eigenvalue of trees, Annals of Combinatorics, 27:19–29, (2023). DOI: 10.1007/s00026-022-00619-x
- Sourav Mondal, Sasmita Barik, Nilanjan De, and Anita Pal, A note on neighborhood first Zagreb energy and its significance as a molecular descriptor, Chemometrics and Intelligent Laboratory Systems, 222:104494, (2022). DOI: 10.1016/j.chemolab.2022.104494
- Sasmita Barik, Debabrota Mondal and Sukanta Pati, Trees with the reciprocal eigenvalue property, Linear and Multilinear Algebra, 70(21): 6612–6717, (2022). DOI: 10.1080/03081087.2021.1968331
- Sasmita Barik, Sattick Ghosh and Debabrota Mondal, On graphs with strong anti-reciprocal eigenvalue property, Linear and Multilinear Algebra, 70(21): 6698–6711, (2022). DOI: 10.1080/03081087.2021.1968330
- Sasmita Barik and Sukanta Pati, Classes of nonbipartite graphs with reciprocal eigenvalue property, Linear Algebra and its Applications, 612: 177–187, (2021). DOI: 10.1016/j.laa.2020.10.039
- Sasmita Barik, Tarakanta Nayak and Ankit Pradhan, Graphs whose independence fractals are line segments, Bulletin of the Malaysian Mathematical Sciences Society, 44(1): 55–78, (2021). DOI: 10.1007/s40840-020-00936-5
- Sasmita Barik and Sonu Rani, Bounds on the ABC spectral radius of a tree, Electronic Journal of Graph Theory and Applications, 8(2): 423–434, (2020). DOI:10.5614/ejgta.2020.8.2.18
- Sonu Rani and Sasmita Barik, On alternating paths and the smallest positive eigenvalue of trees, Journal of Combinatorial Optimization, 39(2), 589–601, (2020). DOI: 10.1007/s10878-019-00503-0
- Sasmita Barik and Gopinath Sahoo, A new matrix representation of multidigraphs, AKCE International Journal of Graphs and Combinatorics, 17(1): 466–479, (2020). DOI: 10.1016/j.akcej.2019.07.002
- Sasmita Barik, Debajit Kalita, Sukanta Pati, and Gopinath Sahoo, Spectra of graphs resulting from various graph operations and products: a survey, Special Matrices, 6: 323–342, (2018). DOI: 10.1515/spma-2018-0027
- Sasmita Barik, Sonu Rani and Gopinath Sahoo, On the distance spectra and the distance Laplacian spectra of graphs with pockets, Bull. Kerala Math. Assoc., 16: 1–12, (2018).
- Sasmita Barik and Gopinath Sahoo, Results on Laplacian spectra of graphs with pockets, AKCE International Journal of Graphs and Combinatorics, 15: 79–87, (2018). DOI: 10.1016/j.akcej.2017.11.004
- Sasmita Barik and Gopinath Sahoo, Some results on the Laplacian spectra of graphs with pockets, Electronic Notes in Discrete Mathematics, 63: 219–228, (2017). DOI: 10.1016/j.endm.2017.11.017
- Sasmita Barik and Gopinath Sahoo, On the distance spectra of coronas, Linear and Multilinear Algebra, 65(8): 1617–1628, (2017). DOI: 10.1080/03081087.2016.1249448
- Sasmita Barik and Gopinath Sahoo, On the Laplacian spectra of some variants of corona, Linear Algebra and its Applications, 512: 32–47, (2017). DOI: 10.1016/j.laa.2016.09.030
- Ravindra B. Bapat, Sasmita Barik, and Sukanta Pati, On the Laplacian spectra of product graphs, Applicable Analysis and Discrete Mathematics, 9:39–58, (2015). DOI: 10.2298/AADM150218006B
- Sasmita Barik, Shaun M. Fallat, and Steve Kirkland, On Hadamard diagonalizable graphs, Linear Algebra and its Applications, 435: 1885–1902, (2011). DOI: 10.1016/j.laa.2011.03.033
- Sasmita Barik, On the Laplacian spectra of graphs with pockets, Linear and Multilinear Algebra, 56(5): 481–490, (2008). DOI: 10.1080/03081080600906463
- Sasmita Barik, Arbind K. Lal, and Sukanta Pati, On trees with Laplacian eigenvalue one, Linear and Multilinear Algebra, 56(6): 597–610, (2008). DOI: 10.1080/03081080600679029
- Sasmita Barik, Milan Nath, Bhaba K. Sarma, and Sukanta Pati, Unicyclic graphs with a strong reciprocal eigenvalue property, Electronic Journal of Linear Algebra, 17:139–153, (2008). DOI: 10.13001/1081-3810.1255
- Sasmita Barik, Bhaba K. Sarma, and Sukanta Pati, The spectrum of the corona of two graphs, SIAM Journal on Discrete Mathematics, 21(1):47–56, (2007). DOI: 10.1137/050624029
- Sasmita Barik, M. Neumann, and Sukanta Pati, On nonsingular trees and a reciprocal eigenvalue property, Linear and Multilinear Algebra, 54(6):453–465, (2006). DOI: 10.1080/03081080600792897
- Sasmita Barik and Sukanta Pati, On algebraic connectivity and spectral integral variations of graphs, Linear Algebra and its Applications, 397:209–222, (2005). DOI: 10.1016/j.laa.2004.10.015
International travels
- TBA, Groups and Graphs, Algebras and Applications (G2A2-2025), Novosibirsk State University, Novosibirsk, Russia, August 3-17, 2025.
- Limit points of the smallest positive eigenvalues of graphs, 26th Conference of the International Linear Algebra Society (ILAS-2025), Kaohsiung, Taiwan, June 23-27, 2025.
- Limit points of the smallest positive eigenvalues of graphs, Joint Mathematics Meetings (JMM 2025), Seattle Convention Center and the Sheraton Grand Seattle, Seattle, WA, USA, January 8-11, 2025.
- Trees with the reciprocal eigenvalue property, Combinatorics 2024, Carovigno (Br), Italy, June 3-7, 2024.
- Smallest positive eigenvalue of graphs, 25th Conference of the International Linear Algebra Society (ILAS-2023), Universidad Politécnica de Madrid, Madrid, Spain, June 12-16, 2023.
- A new matrix representation of multidigraphs, 42nd Australasian Conference on Combinatorial Mathematics and Combinatorial Computing, UNSW Sydney, December 9-13, 2019.
- On the spectra of bipartite multidigraphs, International Congress of Mathematicians (ICM-2018), Rio de Janeiro, Brazil, August 1-9, 2018.
- On the spectra of bipartite multidigraphs, Mini-Symposium on The Nonnegative Inverse Eigenvalue Problem in International Linear Algebra Society (ILAS) 2017 Meeting: Connections, Iowa State University, Ames, USA, July 24-28, 2017.
- On the Laplacian spectra of product graphs, International Congress of Mathematicians (ICM-2014), Seoul, Korea, August 13-21, 2014.
- On graph products and the resulting Laplacian spectra, Western Canada Linear Algebra Meeting, Manitoba, Canada, May 30-31, 2008.
Talks in International Conferences
- Limit points of the smallest positive eigenvalues of graphs, Joint Mathematics Meetings (JMM 2025), Seattle, USA, January 8-11, 2025.
- Trees with the reciprocal eigenvalue property, Combinatorics 2024, Carovigno (Br), Italy, June 3-7, 2024.
- Smallest positive eigenvalue of graphs, 25th Conference of the International Linear Algebra Society (ILAS-2023), Universidad Politécnica de Madrid, Madrid, Spain, June 12-16, 2023.
- A new matrix representation of multidigraphs, 42nd Australasian Conference on Combinatorial Mathematics and Combinatorial Computing, UNSW Sydney, December 9-13, 2019.
- A new matrix representation of multidigraphs, International Conference on Discrete Mathematics (ICDM-2018), Tiruchirappalli, India, December 14-17, 2018.
- On the spectra of bipartite multidigraphs, International Congress of Mathematicians (ICM-2018), Rio de Janeiro, Brazil, August 1-9, 2018.
- On the spectra of bipartite multidigraphs, Mini-Symposium on The Nonnegative Inverse Eigenvalue Problem in International Linear Algebra Society (ILAS) 2017 Meeting: Connections, Iowa State University, Ames, USA, July 24-28, 2017.
- On graphs with simply structured Laplacian eigenvectors, International Conference on Graph Theory and its Applications (ICGTA-2015), Amrita University, Coimbatore, India, December 16-19, 2015.
- Algebraic connectivity and characteristic set of product graphs, International Conference on Linear Algebra and Applications, Manipal University, Mangalore, December 18-20, 2014.
- On the Laplacian spectra of product graphs, International Congress of Mathematicians (ICM-2014), Seoul, Korea, August 13-21, 2014.
- On graph products and the resulting Laplacian spectra, Western Canada Linear Algebra Meeting, Manitoba, Canada, May 30-31, 2008.
Invited Talks
- Limit points of the smallest positive eigenvalues of graphs, NCRDMS-2025, University of Hyderabad, February 5-7, 2025.
- Limit points of the smallest positive eigenvalues of graphs, Joint Mathematics Meetings (JMM 2025), Seattle, USA, January 8-11, 2025.
- Smallest positive eigenvalue of graphs, WinCom (Women in Combinatorics) Virtual Conference 2024, July 15-16, 2024.
- TBA, International Conference on Discrete Mathematics (ICDM-2024), Pune University, June 7-10, 2024.
- Trees with the reciprocal eigenvalue property, Virtual Talk, Conference on Graph Theory and Additive Combinatorics, IIIT Allahabad, May 03-05, 2024.
- Singular graphs and the reciprocal eigenvalue property, Symposium on Algebraic Graph Theory, 38th Annual Conference of Ramanujan Mathematical Society, IIT Guwahati, December 22-24, 2023.
- Graphs with the reciprocal eigenvalue property, 05C50 Online, September 22, 2023.
- Applications of spectral graph theory, Department of Computer science and Engineering, Vidyavardhaka College of engineering, Mysuru, June 5, 2023.
- Laplacian spectra of graphs, Pre-Conference Instructional Workshop on Spectral Graph Theory, ICDM-2023, Mysuru, June 5, 2023.
- Introduction to spectral grpah theory, Pre-Conference Instructional Workshop on Spectral Graph Theory, ICDM-2023, Mysuru, June 4, 2023.
- Applications of spectral graph theory, IBRO Spring School on Computational Neuroscience and Artificial Intelligence, IIT Delhi, March 9-13, 2023.
- Smallest positive eigenvalue of graphs, International Conference on Number Theory and Graph Theory, Department of Mathematics, Manipal Institute of Technology, India in association with Jangjeon Mathematical Society, South Korea, January 18-20, 2023.
- Graphs with simply structured eigenvectors, Weekly e-seminars on “Graphs, matrices, and their applications”, Department of Mathematics, IIT Kharagpur, October 2, 2020.
- Complex adjacency matrix of multidigraphs, International Conference on Recent Trends in Mathematics and Its Applications to Graphs, Networks and Petri Nets (ICRTMA-GPN-2020), JNU, New Delhi, July 20-24, 2020.
-
TBA, National Conference and Discussion Meeting on Linear Algebra and Combinatorics (NCLAC20), BITS Goa Campus, Goa, May 25-29, 2020.
-
Graphs with reciprocal eigenvalue property, IWM Visitor’s Program, Department of Mathematics, Utkal University, Bhubaneswar, Odisha, February 28, 2020.
-
Career Opportunities in Mathematics, IWM Visitor’s Program, Department of Mathematics, College of Basic Sciences and Humanities, Bhubaneswar, Odisha, February 05, 2020.
-
Graphs with reciprocal eigenvalue property, IWM Visitor’s Program, Department of Mathematics, Ravenshaw University, Odisha, January 29, 2020.
-
Non-bipartite graph classes with reciprocal eigenvalue property, Conference on Linear Algebra and its Applications in honour of Ravindra B. Bapat, Indian Statistical Institute, Delhi, December 26-27, 2019.
-
Graphs whose independence fractals are line segments, 6th India Taiwan Conference on Discrete Mathematics (VI-ITCDM 2019), IIT BHU, Varanasi, November 15-18, 2019.
-
Graphs with reciprocal eigenvalue property, International Conference on Number Theory and Graph Theory, Mysore University, June 27-29, 2019.
-
Graphs with reciprocal eigenvalue property, IWM Annual Conference, IIT Bombay, June 10-12, 2019.
-
A new matrix representation of multidigraphs, International Conference on Discrete Mathematics (ICDM-2018), Tiruchirappalli, India, December 14-17, 2018.
-
Career Opportunities in Mathematics, IWM Workshop-2018, NISER, Bhubaneswar, October 27-28, 2018.
-
On the Spectra of Multidigraphs, Department of Mathematics, IIT Delhi, March 19, 2018.
-
On graphs with simply structured Laplacian eigenvectors, International Conference on Graph Theory and its Applications (ICGTA-2015), Amrita University, Coimbatore, India, December 16-19, 2015.
Professional Activities
- Associate Editor, SIAM Undergraduate Research Online (SIURO), Jan 2021- Dec 2023, Jan 2024- Dec 2026
- Editor, American Journal of Combinatorics, February 2025- Onwards
- Regional Coordinator for Compact Courses, Prof. R. Balakrishnan Endowment Trust (RBET) and The Mathematics Consortium (TMC), April 2024- onwards
- Academic Secretary, Academy of Discrete Mathematics and Applications (ADMA), India, April 2022- March 2024
Professional Experience
- Professor, Indian Institute of Technology Bhubaneswar, July 2024 – Continuing
- Associate Professor, Indian Institute of Technology Bhubaneswar, Oct 2018 – June 2024
- Assistant Professor, Indian Institute of Technology Bhubaneswar, Feb 2012 – Oct 2018
- Assistant Professor, Institute of Mathematics and Applications, Bhubaneswar, Jan 2009 – Feb 2012
- Postdoctoral Fellow, University of Regina, Canada, Jan – Dec 2008
- Postdoctoral Fellow, Indian Statistical Institute Delhi, Feb – Dec 2007
Institute Responsibilities
- Head, Department of Mathematics, July 2024- Continuing
- Member, Research Program Evaluation Committee (RPEC), February 2023- Continuing
- Associate Head, Mathematics, School of Basic Sciences, June 2022- July 2024
- Chairperson, House Allotment Committee (HAC), May 2021- May 2023
- Chairperson, Women Welfare Committee (WWC), March 2021- May 2023
- Member, Internal Complaints Committee (ICC), August 2017-December 2020
Reviewing/ Refereeing for the Journals
- Linear Algebra and its Applications
- Discrete Mathematics
- Linear and Multilinear Algebra
- Electronic Journal of Linear Algebra
- Discrete Applied Mathematics
- Applicable Analysis and Discrete Mathematics
- AKCE International Journal of Graphs and Combinatorics
- Special Matrices
- Communications in Combinatorics and optimization
- International Electronic Journal of Algebra
- Journal of the Ramanujan Mathematical Society
- Indian Journal of Pure and Applied Mathematics
- Indian Journal of Discrete Mathematics
- The Mathematics Student
Organized Conferences or Workshops
- Organized Compact Course on Differential Equations, Prof R. Balakrishnan Endowment Trust (RBET) and The Mathematics Consortium (TMC), GVP College of Engineering for Women, Visakhapatnam, Andhra Pradesh, March 17-19, 2025.
- Organized Compact Course on Algebra, Prof R. Balakrishnan Endowment Trust (RBET) and The Mathematics Consortium (TMC), Bhadrak College, Odisha, September 27-29, 2024.
- Co-organized a session on “Spectral Graph Theory” in WinCom (Women in Combinatorics) Virtual Conference 2024, July 15-16, 2024.
- Organized a “Symposium on Algebraic Graph Theory” in 38th Annual Conference of Ramanujan Mathematical Society, December 22-24, 2023 at IIT Guwahati.
- Organized “IWM Visiting Programs” in different colleges of Odisha, January-February, 2020, funded by NBHM.
- Co-organized “IWM (Indian Women and Mathematics) Regional Workshop on Research and Opportunities”, October 27-28, 2018 at NISER, Bhubaneswar funded by NBHM.
- Co-organized “Vigyan Jyoti programme: An initiation to promote interest in Science and Technology amongst girl students”, June 4-24, 2018 at IIT Bhubaneswar, Bhubaneswar funded by DST.
- Organized undergraduate training programme “Mini Mathematics Training and Talent Search Programme (MTTS)”, December 9-21, 2013 at IIT Bhubaneswar, Bhubaneswar funded by NBHM.
- Organized a national level instructional workshop on “Graph Theory and its Applications”, December 17-23, 2009 at Institute of Mathematics and Applications, Bhubaneswar funded by DST.
Research Guidance
Ph.D. Students:
Continuing:
- Arnab Sikder: Joined in Jan 2025
- Subhadip Giri: Joined in Jan 2024
- Pragati Asutosh Jena: Joined in July 2022
- Piyush Verma: Joined in Jan 2021
Completed:
- Debabrota Mondal: On the reciprocal eigenvalue properties and the smallest positive eigenvalue of graphs (Thesis Submitted) (CSIR)
- Sane Umesh Reddy: On spectral properties of cographs and matrices associated with multidigraphs (Awarded in April 2024)
- Subhasish Behera: The smallest positive eigenvalue of bipartite graphs with a unique perfect matching (Awarded in August 2023)
- Sonu Rani: The smallest positive eigenvalue of graphs (Awarded in October 2021)
- Gopinath Sahoo: Eigensystems of graphs and multidigraphs (Awarded in July 2018)
Postdoctoral Fellows:
- Tahir Shamsher: Joined in December 2023
M.Sc. Students (M.Sc. Project & Thesis):
2025-26
- Aditya Chauhan
2024-25
- Sudha: Adjacency and distance spectra of graphs with diameter 2
- Pankaj Kumar: Laplacian spectra of product graphs
2023-24
- Digen Kumar: Spectral radius and Hamiltonicity in graphs
- Animesh Das: Spectra of graphs obtained by the generalized join operation
2022-23
- Vaishali Aggarwal: On the minimum number of distinct eigenvalues of a threshold graph, Working in TCS.
- Komal Kumar: Graphs with distinct integer Laplacian eigenvalues, Working in Dolat Capital
- Giriraj Ghosh: Spectra of hypergraphs, Doing Ph.D at IIT Kharagpur.
2021-22
- Anjali P.: A study on graph reconstruction conjecture and Hadamard matrices, Doing Ph.D in NIT Calicut.
- Govind Godara: Graph colouring and chromatic roots, Doing Ph.D at IIT Patna.
2020-21
- Rumki Ghosh: Distance magic graphs, Doing Ph.D in Algorithmic Graph Theory at IIT Delhi.
- Parameswar Basumatary: Algebraic properties of chromatic roots, Doing Ph.D in Algebraic Graph Theory at Tezpur University.
2019-20
- Rajiv Mishra: Graphs with some special spectral properties, Doing Ph.D in Algebraic Graph Theory at IISER Kolkata.
- Puran Kumar: Vertex and edge colouring of graphs
- Piyush Verma: ABC energy of graphs and Hadamard diagonalizable graphs, Doing Ph.D in Algebraic Graph Theory at IIT Bhubaneswar.
2018-19
- Sattick Ghosh: Inverses of Graphs
- Sudipta Ghosh: On p-Spectral Radius of Graphs
2017-18
- Divyanshu Vashistha: Squared Distance Matrix of a Tree, Doing Ph.D in IIT Roorkee.
- Shirshendu Pan: Graphs with Reciprocal Eigenvalue Property, Doing Ph.D in Algebraic Graph Theory at IIT Guwahati.
- Smriti Pandey: Integral Graphs, Doing Ph.D in Algebraic Graph Theory at IIT BHU(Varanasi).
2016-17
- Amit Kumar: Relation Between Energy and Laplacian Energy of a Graph
- Saheb Dalapati: The Energy of a Graph
2015-16
- Diksha Tiwari: A Study on the Laplacian Spectra and the Distance Spectra of Graphs with Pockets, Completed Ph.D from University of Vienna
- Sumit: Bottleneck Matrices of Graphs, Doing Ph.D at IIT Rookee.
- MD Shahir Mollick: A Study on Homomorphisms of Signed Graphs
2014-15
- AQIB: Algebraic Connectivity of Graphs, Doing Ph.D in Algebraic Graph Theory at IIT Kharagpur.
- Churni Gupta: On Hadamard Diagonalizable Graphs, Completed Ph.D from University of Florida. Currently, a postdoctoral Associate in University of Florida.