School of Basic Sciences

Combinatorial Matrix Theory; Spectral Graph Theory

- 334, SBS Building
- 0674-7135142
- sasmita AT iitbbs DOT ac DOT in

Degree | Discipline | Year | School |
---|---|---|---|

Postdoctoral Fellow | Mathematics | 2008 | University of Regina, Canada |

Postdoctoral Fellow | Mathematics | 2007 | Indian Statistical Institute Delhi |

Ph.D. | Mathematics | 2007 | Indian Institute of Technology Guwahati |

Welcome to my homepage!

I am an Associate Professor in Mathematics, at the School of Basic Sciences, Indian Institute of Technology Bhubaneswar, India. Prior to this position 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 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).

**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)**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 Semester), Non-negative Matrix**Spring 2014:**Mathematics II (B.Tech 2nd Semester), Algebra (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)

Project Title: Spectra of graphs and their applications to complex networks, **MATRICS ****research grant**

Duration: 2018-21

Funding Agency: SERB, DST

Status: Completed

Project Title: Laplacian spectra of product graphs

Duration: 2012-14

Funding Agency: IIT Bhubaneswar

Status: Completed

1Sasmita Barik and Sane Umesh Reddy, On the A_c-rank of multidigraphs, Aequationes mathematicae, Accepted, (2023).

2Sasmita Barik and Piyush Verma, On spectral properties of neighbourhood second Zagreb matrix of graphs, Communications in Combinatorics and Optimization, dx.doi.org/10.22049/CCO.2023.28424.1546, (2024).

3Sasmita Barik and Subhasish Behera, On integer matrices with integer eigenvalues and Laplacian integral graphs, Discrete Mathematics, 347 (1):113707, (2024).

4Sasmita Barik and Sane Umesh Reddy, Laplacian spectra of cographs: A twin reduction perspective, Linear Algebra and its Applications, 675:203-224, (2023).

5Sasmita Barik and Subhasish Behera, On the smallest positive eigenvalue of bipartite unicyclic graphs with a unique perfect matching II, Linear and Multilinear Algebra, DOI:10.1080/03081087.2023.2177247, (2023).

6Sasmita 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).

7Sasmita 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).

8Sasmita Barik and Subhasish Behera, On the smallest positive eigenvalue of bipartite unicyclic graphs with a unique perfect matching, Discrete Mathematics, 346(2):113252, (2023).

9Sonu Rani and Sasmita Barik, Upper bounds on the smallest positive eigenvalue of trees, Annals of Combinatorics, 27:19-29, (2023).

10Sourav 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).

11Sasmita Barik, Debabrota Mondal and Sukanta Pati, Trees with the reciprocal eigenvalue property, Linear and Multilinear Algebra, 70(21): 6612-6717, (2022).

12Sasmita Barik, Sattick Ghosh and Debabrota Mondal, On graphs with strong anti-reciprocal eigenvalue property, Linear and Multilinear Algebra, 70(21): 6698-6711, (2022).

13Sasmita Barik and Sukanta Pati, Classes of nonbipartite graphs with reciprocal eigenvalue property, Linear Algebra and its Applications, 612: 177-187, (2021).

14Sasmita 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).

15Sasmita 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).

16Sonu Rani and Sasmita Barik, On alternating paths and the smallest positive eigenvalue of trees, Journal of Combinatorial Optimization, 39(2), 589-601, (2020).

17Sasmita Barik and Gopinath Sahoo, A new matrix representation of multidigraphs, AKCE International Journal of Graphs and Combinatorics, 17(1): 466-479, (2020).

18Sasmita 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).

19Sasmita 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).

20Sasmita Barik and Gopinath Sahoo, Results on Laplacian spectra of graphs with pockets, AKCE International Journal of Graphs and Combinatorics, 15: 79-87, (2018).

21Sasmita Barik and Gopinath Sahoo, Some results on the Laplacian spectra of graphs with pockets, Electronic Notes in Discrete Mathematics, 63: 219-228, (2017).

22Sasmita Barik and Gopinath Sahoo, On the distance spectra of coronas, Linear and Multilinear Algebra, 65(8): 1617-1628, (2017).

23Sasmita Barik and Gopinath Sahoo, On the Laplacian spectra of some variants of corona, Linear Algebra and its Applications, 512: 32-47, (2017).

24Sasmita Barik, Ravindra B. Bapat and Sukanta Pati, On the Laplacian spectra of product graphs, Applicable Analysis and Discrete Mathematics, 9:39-58, (2015).

25Sasmita Barik, Shaun M. Fallat, and Steve Kirkland, On Hadamard diagonalizable graphs, Linear Algebra and its Applications, 435: 1885-1902, (2011).

26Sasmita Barik, On the Laplacian spectra of graphs with pockets, Linear and Multilinear Algebra, 56(5): 481-490, (2008).

27Sasmita Barik, Arbind K. Lal, and Sukanta Pati, On trees with Laplacian eigenvalue one, Linear and Multilinear Algebra, 56(6): 597-610, (2008).

28Sasmita 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).

29Sasmita 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).

30Sasmita Barik, M. Neumann, and Sukanta Pati, On nonsingular trees and a reciprocal eigenvalue property, Linear and Multilinear Algebra, 54(6):453-465, (2006).

31Sasmita Barik and Sukanta Pati, On algebraic connectivity and spectral integral variations of graphs, Linear Algebra and its Applications, 397:209-222, (2005).

1Smallest positive eigenvalue of graphs, 25th Conference of the International Linear Algebra Society (ILAS-2023), Universidad Politécnica de Madrid, Madrid, Spain, June 12-16, 2023.

2Smallest 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.

3Complex 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.

4Non-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.

5A new matrix representation of multidigraphs, 42nd Australasian Conference on Combinatorial Mathematics and Combinatorial Computing, UNSW Sydney, December 9-13, 2019.

6Graphs whose independence fractals are line segments, 6th India Taiwan Conference on Discrete Mathematics (VI-ITCDM 2019), IIT BHU, Varanasi, November 15-18, 2019.

7Graphs with reciprocal eigenvalue property, International Conference on Number Theory and Graph Theory, Mysore University, June 27-29, 2019.

8Graphs with the reciprocal eigenvalue property, IWM Annual Conference, IIT Bombay, June 10-12, 2019.

9A new matrix representation of multidigraphs, International Conference on Discrete Mathematics (ICDM-2018), Tiruchirappalli, India, December 14-17, 2018.

10On the spectra of bipartite multidigraphs, International Congress of Mathematicians (ICM-2018), Rio de Janeiro, Brazil, August 1-9, 2018.

11On 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.

12On graphs with simply structured Laplacian eigenvectors, International Conference on Graph Theory and its Applications (ICGTA-2015), Amrita University, Coimbatore, India, December 16-19, 2015.

13Algebraic connectivity and characteristic set of product graphs, International Conference on Linear Algebra and Applications, Manipal University, Mangalore, December 18-20, 2014.

14On the Laplacian spectra of product graphs, International Congress of Mathematicians (ICM-2014), Seoul, Korea, August 13-21, 2014.

15On graph products and the resulting Laplacian spectra, Western Canada Linear Algebra Meeting, Manitoba, Canada, May 30-31, 2008.

**Pragati Asutosh Jena:**Joined in July 2022 (CSIR)- Piyush Verma: Joined in Jan 2021 (Institute)
- Debabrota Mondal: Joined in July 2020 (CSIR)
- Sane Umesh Reddy: Joined in July 2018 (UGC)

- Subhasish Behera: The smallest positive eigenvalue of bipartite graphs with a unique perfect matching (Awarded in August 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)

**Continuing: 2****Completed: 22**

**Completed: 1**

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