Dr. Sasmita BarikAssociate Professor
School of Basic Sciences

Research Interests

Combinatorial Matrix Theory; Spectral Graph Theory

Contact Details

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

Other Profile Link(s)

Education

 Degree Discipline Year School
 Ph.D. Mathematics 2007 Indian Institute of Technology Guwahati
 

Biosketch

 

Teaching

  • 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 theory (Ph.D)
  • 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)
     

Projects

Project Title: Spectra of graphs and their applications to complex networks, MATRICS research grant (Mathematical Research Impact Centric Support)
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
 

Recent Publications (International Journals)

1Sourav 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).
2Sasmita Barik, Debabrota Mondal and Sukanta Pati, Trees with the reciprocal eigenvalue property, Linear and Multilinear Algebra, DOI:10.1080/03081087.2021.1968331, (2021).
3Sasmita 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).
4Sasmita Barik and Sukanta Pati, Classes of nonbipartite graphs with reciprocal eigenvalue property, Linear Algebra and its Applications, 612: 177-187, (2021).
5Sasmita 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).
6Sasmita 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).
7Sonu Rani and Sasmita Barik, On alternating paths and the smallest positive eigenvalue of trees, Journal of Combinatorial Optimization, 39(2), 589-601, (2020).
8Sasmita Barik and Gopinath Sahoo, A new matrix representation of multidigraphs, AKCE International Journal of Graphs and Combinatorics, 17(1): 466-479, (2020).
9Sasmita 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).
10Sasmita 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).
11Sasmita Barik and Gopinath Sahoo, Results on Laplacian spectra of graphs with pockets, AKCE International Journal of Graphs and Combinatorics, 15: 79-87, (2018).
12Sasmita Barik and Gopinath Sahoo, Some results on the Laplacian spectra of graphs with pockets, Electronic Notes in Discrete Mathematics, 63: 219-228, (2017).
13Sasmita Barik and Gopinath Sahoo, On the distance spectra of coronas, Linear and Multilinear Algebra, 65(8): 1617-1628, (2017).
14Sasmita Barik and Gopinath Sahoo, On the Laplacian spectra of some variants of corona, Linear Algebra and its Applications, 512: 32-47, (2017).
15Sasmita Barik, Ravindra B. Bapat and Sukanta Pati, On the Laplacian spectra of product graphs, Applicable Analysis and Discrete Mathematics, 9: 39–58, (2015).
16Sasmita Barik, Shaun M. Fallat, and Steve Kirkland, On Hadamard diagonalizable graphs, Linear Algebra and its Applications, 435: 1885–1902, (2011).
17Sasmita Barik, On the Laplacian spectra of graphs with pockets, Linear and Multilinear Algebra, 56(5): 481-490, (2008).
18Sasmita Barik, Arbind K. Lal, and Sukanta Pati, On trees with Laplacian eigenvalue one, Linear and Multilinear Algebra, 56(6): 597-610, (2008).
19Sasmita 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).
20Sasmita 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).
21Sasmita Barik, M. Neumann, and Sukanta Pati, On nonsingular trees and a reciprocal eigenvalue property, Linear and Multilinear Algebra, 54(6):453-465, (2006).
22Sasmita Barik and Sukanta Pati, On algebraic connectivity and spectral integral variations of graphs, Linear Algebra and its Applications, 397:209-222, (2005).
 

Academic Honors & Awards

  • Chebyshev Grant, ICM-2022
  • Associate Editor, SIAM Undergraduate Research Online (SIURO), 2021-23
  • 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
 

Research Scholar

Ph.D
Continuing:
  • Piyush Verma: Joined in Jan 2021
  • Debabrota Mondal: Joined in July 2020 
  • Sane Umesh Reddy: Joined in July 2018 
  • Subhasish Behera: Joined in July 2018 
Awarded:
  • Sonu Rani: The smallest positive eigenvalue of graphs (Awarded in October 2021)
  • Gopinath Sahoo: Eigensystems of graphs and multidigraphs (Awarded in July 2018)
 
M.Sc
Completed: 19
 
Interns
Completed- 1
 

Professional Activities

Reviewing/ Refereeing for the Journals:

  • Linear Algebra and its Applications
  • Linear and Multilinear Algebra
  • Electronic Journal of Linear Algebra
  • Discrete Applied Mathematics
  • Discrete Mathematics
  • Applicable Analysis and Discrete Mathematics
  • AKCE International Journal of Graphs and Combinatorics
  • Special Matrices
  • International Electronic Journal of Algebra
  • Indian Journal of Pure and Applied Mathematics
  • Indian Journal of Discrete Mathematics
  • The Mathematics Student

Institute Responsibilities

  • Chairperson, House Allotment Committee (HAC), May 2021- Continuing
  • Chairperson, Women Welfare Committee (WWC), March 2021- Continuing
  • Member, Internal Complaints Committee (ICC), August 2017-December 2020

Professional Experience

  • Associate Professor, Indian Institute of Technology Bhubaneswar, Oct 2018 - Continuing
  • 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

My Mentors

Research Guidance

Ph.D. Students:
 
  • Piyush Verma: Joined in Jan 2021 (Continuing)
  • Debabrota Mondal: Joined in July 2020 (Continuing)
  • Sane Umesh Reddy: Joined in July 2018 (Continuing)
  • Subhasish Behera: Joined in July 2018 (Continuing)
  • Sonu Rani: The smallest positive eigenvalue of graphs (Awarded in October 2021). 
  • Gopinath Sahoo: Eigensystems of graphs and multidigraphs (Awarded in July 2018). 
 
M.Sc. Students (M.Sc. Project & Thesis):
 
2021-22
  • Anjali P.: A study on graph reconstruction conjecture and Hadamard matrices
  • Govind Godara: Graph colouring and chromatic roots
2020-21
  • Rumki Ghosh: Distance magic graphs
  • Parameswar Basumatary: Algebraic properties of chromatic roots
2019-20 
  • Rajiv Mishra: Graphs with some special spectral properties 
  • Puran Kumar: Vertex and edge colouring of graphs
  • Piyush Verma: ABC energy of graphs and Hadamard diagonalizable graphs
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
  • Shirshendu Pan: Graphs with Reciprocal Eigenvalue Property
  • Smriti Pandey: Integral Graphs
 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 
  • Sumit: Bottleneck Matrices of Graphs
  • MD Shahir Mollick: A Study on Homomorphisms of Signed Graphs
2014-15
  • AQIB: Algebraic Connectivity of Graphs 
  • Dr. Churni Gupta: On Hadamard Diagonalizable Graphs
 
Summer Intern: 
 
  • 2019: Om Adarsh, Distance Magic Graphs, Integrated MSc student, IISER Pune
  • 2022: Aditya Raj Dash, Graphical Designs, Integrated MSc student, Odisha University of Technology and Research, Bhubaneswar 
 
 

Talks in International Conferences

  • 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 Cogress 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

Organized Conferences or Workshops

  • Organized "IWM Visiting Programs" in different colleges of Odisha, January-February, 2020.
  • 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.

Professional Experience

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