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Sukanta Pati

Professor Ph.D. (ISI Delhi), PostDoc (Univ of Regina)

+91 (0)361 258 2607    pati ◊ iitg ⋅ ac ⋅ in

Research Area: Spectral Graph Theory; Matrix Theorey.
Room No: E-307
Personal Website | IRINS Profile

Department Responsibilities:
Faculty Advisor, M.Sc. (M & C) 2022

Research

Spectral Graph Theory; Matrix Theory.

Education

MSc (Sambalpur University), Ph.D. (ISI Delhi), PostDoc (University of Regina, Canada)

Books

1. S Kirkland, K M Prasad, S Pati, S Puntanen, "Linear Algebra with Applications: a volume in honor of Prof Ravindra B Bapat", 0 , Manipal University Press [2014]

Book Chapter

2. Sukanta Pati, "Lectures on Matrix and Graph Methods", Introduction to Algebraic Connectivity of Graphs , Manipal University Press [2012]

1. Sukanta Pati, "Graph Theory: Research Directions", Nonnegative matrices and graph spectra , Narosa [2011]

Journal Publications

42. S Barik, D Mondal, S Pati, "Trees with reciprocal eigenvalue property", Linear and Multilinear Algebra , vol.70 (21) ,pp.6712-6717, [2022]

41. R B Bapati, R Jana, S Pati, "The bipartite distance matrix of a nonsingular tree", Linear Algebra and its Applications , vol.631 ,pp.254-281, [2021]

40. S Barik, S Pati, "Classes of nonbipartite graphs with reciprocal eigenvalue property", Linear Algebra and its Applications , vol.612 ,pp.177-187, [2021]

39. S. Barik, D. Kalita, S. Pati, G. Sahoo., "Spectra of graphs resulting from various graph operations and products: a survey", Special Matrices. , vol.6 (1) ,pp.323-342, [2018]

38. S Panda, S Pati, "On the inverse of a class of weighted graphs", The Electronic Journal of Linear Algebra , vol.32 ,pp.539-545, [2017]

37. S Panda, S Pati, "On some graphs which satisfy reciprocal eigenvalue properties", Linear Algebra and its Applications , vol.530 ,pp.445-460, [2017]

36. R B Bapat, S Panda, S Pati, "Self-inverse unicyclic graphs and strong reciprocal eigenvalue property", Linear Algebra and its Applications , vol.531 ,pp.459-478, [2017]

35. S Panda, S Pati, "Inverses of weighted graphs", Linear Algebra and its Applications , vol.532 ,pp.222-230, [2017]

34. SK Panda, S. Pati. , "Graphs with reciprocal eigenvalue properties.", Electronic Journal of Linear Algebra. , vol.31 ,pp.511-514, [2016]

33. SK Panda, S. Pati. , "On some graphs which possess inverses", Linear Multilinear Algebra , vol.64 (7) ,pp.1445-1459, [2016]

32. R B Bapat, S Panda, S Pati, "Strong reciprocal eigenvalue property of class of weighted graphs", Linear Algebra and its Applications , vol.511 ,pp.460-475, [2016]

31. R.B. Bapat, S. Barik, S. Pati., "On the Laplacian spectra of product graphs", Applicable Analysis and Discrete Mathematics , vol.9 ,pp.39-58, [2015]

30. SK Panda, S. Pati., "On The Inverse Of A Class Of Bipartite Graphs With Unique Perfect Matchings", Electronic Journal of Linear Algebra , vol.29 ,pp.89-101, [2015]

29. D. Kalita, S. Pati., "A reciprocal eigenvalue property for unicyclic weighted directed graphs with weights from {\pm 1, \pm i}.", Linear Algebra Applications. , vol.449 ,pp.434-471, [2014]

28. R. B. Bapat, A.K. Lal, S. Pati., "A formula for all minors of the adjacency matrix and an application", Special Matrices , vol.2 ,pp.89-98, [2014]

27. S. Pati, M. Neumann., "On Reciprocal Eigenvalue Property of Weighted Trees.", Linear Algebra Applicatons , vol.438 (10) ,pp.3817-3828, [2013]

26. R.B. Bapat, D.Kalita, S. Pati., "On weighted directed graphs", Linear algebra and its Applications , vol.436 ,pp.11-99, [2012]

25. D.Kalita, S. Pati., "On the spectrum of 3-coloured digraph.", Linear and Multilinear Algebra. In Press. [2012]

24. Bapat R. B.; Lal A. K.; Pati S., "On algebraic connectivity of graphs with at most two points of articulations in each block", Linear and Multilinear Algebra , vol.60 ,pp.415-432, [2012]

23. B Deb, K Kapoor, S Pati, "On mRj rechability in trees", Discrete Mathematics, Algorithms and Applications , vol.4 (04) ,pp.1250055 [2012]

22. M. Neumann, S. Pati. , "The Laplacian spectra of graphs with a tree structure.", Linear and Multilinear Algebra. , vol.57 ,pp.267-291, [2009]

21. R. B. Bapat, A. K. Lal, S. Pati., "The distance matrix of a bidirected tree.", Electronic Journal of Linear Algebra. , vol.18 ,pp.233-245, [2009]

20. S. Pati, K. Lal, K. L. Patra., "Graph structure via its Laplacian matrix.", Math. Student. , vol.76 (1-4) ,pp.203-216, [2008]

19. S. Barik, M. Nath, S. Pati, B. K. Sarma., "Unicyclic graphs with strong reciprocal eigenvalue property.", Electronic Journal of Linear Algebra. , vol.7 ,pp.139-153, [2008]

18. S. Barik, A. K. Lal, S. Pati., "On Trees with Laplacian Eigenvalue One.", Linear and Multilinear Algebra. , vol.56 (6) ,pp.597-610, [2008]

17. R. B. Bapat, A. K. Lal, S. Pati., "Laplacian spectrum of weakly quasi-threshold graphs.", Graphs and Combinatorics. , vol.24 (4) ,pp.273-290, [2008]

16. S. Barik, S. Pati, B. K. Sarma., "The Spectrum of the Corona of two Graphs.", Siam Journal of Discrete Mathematics. , vol.21 (1) ,pp.47-56, [2007]

15. S. Barik, M. Neumann, S. pati., "On Nonsingular Trees and a Reciprocal Eigenvalue Property.", Linear and Multilinear Algebra. , vol.54 (6) ,pp.453-465, [2006]

14. R. B. Bapat, A. K. Lal, S. Pati., "A q-analogue of the Distance Matrix of a Tree.", Linear Algebra and its Applications , vol.416 ,pp.799-814, [2006]

13. S. Barik, S. Pati., "On Algebraic Connectivity and Spectral Integral Variations of Graphs.", Linear Algebra and its Applications. , vol.397 ,pp.209-222, [2005]

12. S. Pati, R. B. Bapat., "Energy of a graph is never an odd integer.", Bulletin of Kerala Mathematics Association. , vol.1 (2) ,pp.129-132, [2004]

11. S. Pati, S. Fallat, S. Kirkland., "On Graphs with Algebraic Connectivity equal to Edge Density.", Linear Algebra Applications. , vol.373 ,pp.31-50, [2003]

10. S. Pati, S. Fallat, S. Kirkland., "Maximizing Algebraic Connectivity Over Unicyclic Graphs.", Linear Multilinear Algebra. , vol.51 (3) ,pp.221-241, [2003]

9. S. Pati, R. B. Bapat., "Path Matrices of a Tree.", The Journal of Mathematical Sciences. , vol.1 ,pp.46-52, [2002]

8. S. Pati, S Kirkland., "On Vertex Connectivity and Absolute Algebraic Connectivity for Graphs.", Linear Multilinear Algebra. , vol.50 (3) ,pp.253-284, [2002]

7. S. Pati, S. Kirkland, S. Fallat., "Minimizing Algebraic Connectivity over Connected Graphs with Fixed Girth.", Discrete Mathematics. , vol.254 ,pp.115-142, [2002]

6. S. Pati., "The Third Smallest Eigenvalue of Laplacian Matrix.", Electronic Journal of Linear Algebra. , vol.8 ,pp.128-139, [2001]

5. S. Pati, R. B. Bapat, S. Kirkland., "The Perturbed Laplacian Matrix of a Graph", Linear Multilinear Algebra. , vol.49 ,pp.219-242, [2001]

4. S. Pati., "Moore-Penrose Inverse of Matrices on Idempotent Semirings.", SIAM Journal on Matrix Analysis and Applications. , vol.22 (2) ,pp.617-626, [2000]

3. S. Pati, R. B. Bapat, S.Z. Song., "Rank preservers of matrices over max algebra.", Linear Multilinear Algebra. , vol.48 ,pp.149-164, [2000]

2. S. Pati, R. B. Bapat., "Algebraic connectivity and the Characteristic Set of a Graph.", Linear Multilinear Algebra. , vol.45 ,pp.247-273, [1998]

1. S. Pati, S.K. Jain, R. B. Bapat., "Weighted Moore-Penrose Inverse of a Boolean Matrix.", Linear Algebra Applications. , vol.255 ,pp.267-279, [1997]

Current

1 Madhab Mondal
2 Sirshendu Pan

Completed

1 Rakesh Jana
2 Sasmita Barik
3 Debajit Kalita
4 Swarup Kumar Panda

1. Laplacian Eigenvalue of Graphs
Funding Agency : Dept. of Science and Technology, Govt. of India
Principal Investigator: Sukanta Pati
Co-investigator: A. K. Lal (Dept. of Math., IIT Kanpur)
Duration/Starting Year: 2006
Status: Completed

No Project Available!

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