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 |

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

2Sonu Rani and Sasmita Barik, Upper bounds on the smallest positive eigenvalue of trees, Annals of Combinatorics, https://doi.org/10.1007/s00026-022-00619-x, (2022).

3Sourav 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).

4Sasmita Barik, Debabrota Mondal and Sukanta Pati, Trees with the reciprocal eigenvalue property, Linear and Multilinear Algebra, DOI:10.1080/03081087.2021.1968331, (2021).

5Sasmita Barik, Sattick Ghosh and Debabrota Mondal, On graphs with strong anti-reciprocal eigenvalue property, Linear and Multilinear Algebra, DOI:10.1080/03081087.2021.1968330, (2021).

6Sasmita Barik and Sukanta Pati, Classes of nonbipartite graphs with reciprocal eigenvalue property, Linear Algebra and its Applications, 612: 177-187, (2021).

7Sasmita 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).

8Sasmita 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).

9Sonu Rani and Sasmita Barik, On alternating paths and the smallest positive eigenvalue of trees, Journal of Combinatorial Optimization, 39(2), 589-601, (2020).

10Sasmita Barik and Gopinath Sahoo, A new matrix representation of multidigraphs, AKCE International Journal of Graphs and Combinatorics, 17(1): 466-479, (2020).

11Sasmita 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).

12Sasmita 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).

13Sasmita Barik and Gopinath Sahoo, Results on Laplacian spectra of graphs with pockets, AKCE International Journal of Graphs and Combinatorics, 15: 79-87, (2018).

14Sasmita Barik and Gopinath Sahoo, Some results on the Laplacian spectra of graphs with pockets, Electronic Notes in Discrete Mathematics, 63: 219-228, (2017).

15Sasmita Barik and Gopinath Sahoo, On the distance spectra of coronas, Linear and Multilinear Algebra, 65(8): 1617-1628, (2017).

16Sasmita Barik and Gopinath Sahoo, On the Laplacian spectra of some variants of corona, Linear Algebra and its Applications, 512: 32-47, (2017).

17Sasmita Barik, Ravindra B. Bapat and Sukanta Pati, On the Laplacian spectra of product graphs, Applicable Analysis and Discrete Mathematics, 9: 39–58, (2015).

18Sasmita Barik, Shaun M. Fallat, and Steve Kirkland, On Hadamard diagonalizable graphs, Linear Algebra and its Applications, 435: 1885–1902, (2011).

19Sasmita Barik, On the Laplacian spectra of graphs with pockets, Linear and Multilinear Algebra, 56(5): 481-490, (2008).

20Sasmita Barik, Arbind K. Lal, and Sukanta Pati, On trees with Laplacian eigenvalue one, Linear and Multilinear Algebra, 56(6): 597-610, (2008).

21Sasmita 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).

22Sasmita 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).

23Sasmita Barik, M. Neumann, and Sukanta Pati, On nonsingular trees and a reciprocal eigenvalue property, Linear and Multilinear Algebra, 54(6):453-465, (2006).

24Sasmita Barik and Sukanta Pati, On algebraic connectivity and spectral integral variations of graphs, Linear Algebra and its Applications, 397:209-222, (2005).

1TBA, 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.

2Complex 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.

3Non-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.

4A new matrix representation of multidigraphs, 42nd Australasian Conference on Combinatorial Mathematics and Combinatorial Computing, UNSW Sydney, December 9-13, 2019.

5Graphs whose independence fractals are line segments, 6th India Taiwan Conference on Discrete Mathematics (VI-ITCDM 2019), IIT BHU, Varanasi, November 15-18, 2019.

6Graphs with reciprocal eigenvalue property, International Conference on Number Theory and Graph Theory, Mysore University, June 27-29, 2019.

7Graphs with the reciprocal eigenvalue property, IWM Annual Conference, IIT Bombay, June 10-12, 2019.

8On the spectra of bipartite multidigraphs, International Congress of Mathematicians (ICM-2018), Rio de Janeiro, Brazil, August 1-9, 2018.

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, 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.

11On graphs with simply structured Laplacian eigenvectors, International Conference on Graph Theory and its Applications (ICGTA-2015), Amrita University, Coimbatore, India, December 16-19, 2015.

12Algebraic connectivity and characteristic set of product graphs, International Conference on Linear Algebra and Applications, Manipal University, Mangalore, December 18-20, 2014.

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

14On 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: Joined in July 2018 (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: 3****Completed: 19**

**Completed: 1**

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