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+
PDF
Chat
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Computing the permanental polynomial of $4k$-intercyclic bipartite
graphs
|
2024
|
R.B. Bapat
Ranveer Singh
Hitesh Wankhede
|
|
+
|
Some new notions of centrality measures in trees
|
2024
|
Ronit Neogy
R.B. Bapat
|
|
+
|
On the inverse and Moore–Penrose inverse of resistance matrix of graphs with more general matrix weights
|
2023
|
Priti Prasanna Mondal
R.B. Bapat
Fouzul Atik
|
|
+
PDF
Chat
|
Generalized inverses in graph theory
|
2023
|
Umashankara Kelathaya
R.B. Bapat
Manjunatha Prasad Karantha
|
|
+
|
Some Observations on Algebraic Connectivity of Graphs
|
2023
|
R.B. Bapat
A. K. Lal
Sukanta Pati
|
|
+
|
Matrix Partial Orders Based on the Secondary-Transpose
|
2023
|
Umashankara Kelathaya
Manjunatha Prasad Karantha
R.B. Bapat
|
|
+
PDF
Chat
|
The bipartite Laplacian matrix of a nonsingular tree
|
2023
|
R.B. Bapat
Rakesh Jana
Sukanta Pati
|
|
+
|
Secondary transpose of matrix and generalized inverses
|
2022
|
Savitha Varkady
Divya Shenoy
Umashankara Kelathaya
R.B. Bapat
|
|
+
PDF
Chat
|
On resistance matrices of weighted balanced digraphs
|
2022
|
Balaji Ramamurthy
R.B. Bapat
Shivani Goel
|
|
+
|
The bipartite distance matrix of a nonsingular tree
|
2021
|
R.B. Bapat
Rakesh Jana
Sukanta Pati
|
|
+
|
Resistance distance of blowups of trees
|
2021
|
Ali Azimi
R.B. Bapat
Mohammad Farrokhi Derakhshandeh Ghouchan
|
|
+
PDF
Chat
|
On distance matrices of wheel graphs with an odd number of vertices
|
2020
|
R. Balaji
R.B. Bapat
Shivani Goel
|
|
+
|
An inverse formula for the distance matrix of a wheel graph with an even number of vertices
|
2020
|
R. Balaji
R.B. Bapat
Shivani Goel
|
|
+
PDF
Chat
|
Distance matrices perturbed by Laplacians
|
2020
|
Balaji Ramamurthy
R.B. Bapat
Shivani Goel
|
|
+
|
Smith Normal Form of a distance matrix inspired by the four-point condition
|
2020
|
R.B. Bapat
Sivaramakrishnan Sivasubramanian
|
|
+
PDF
Chat
|
Resistance distance in directed cactus graphs
|
2020
|
R. Balaji
R.B. Bapat
Shivani Goel
|
|
+
PDF
Chat
|
Resistance matrices of balanced directed graphs
|
2020
|
R. Balaji
R.B. Bapat
Shivani Goel
|
|
+
|
An inverse formula for the distance matrix of a wheel graph with even number of vertices
|
2020
|
R. Balaji
R.B. Bapat
Shivani Goel
|
|
+
|
On distance matrices of wheel graphs with odd number of vertices
|
2020
|
R. Balaji
R.B. Bapat
Shivani Goel
|
|
+
PDF
Chat
|
On distance and Laplacian matrices of trees with matrix weights
|
2019
|
Fouzul Atik
M. Rajesh Kannan
R.B. Bapat
|
|
+
PDF
Chat
|
Squared distance matrix of a weighted tree
|
2019
|
R.B. Bapat
|
|
+
|
Resistance matrices of directed graphs
|
2019
|
R. Balaji
R.B. Bapat
Shivani Goel
|
|
+
|
The Moore–Penrose inverse of the incidence matrix of complete multipartite and bi-block graphs
|
2019
|
Ali Azimi
R.B. Bapat
|
|
+
|
Resistance matrices of graphs with matrix weights
|
2019
|
Fouzul Atik
R.B. Bapat
M. Rajesh Kannan
|
|
+
|
Distance matrices perturbed by a Laplacian
|
2019
|
Balaji Ramamurthy
R.B. Bapat
Shivani Goel
|
|
+
|
Squared distance matrix of a weighted tree
|
2018
|
R.B. Bapat
|
|
+
|
Algorithm for B-partitions, parameterized complexity of the matrix determinant and permanent.
|
2018
|
Ranveer Singh
Vivek Vijay
R.B. Bapat
|
|
+
|
On Cartesian product of Euclidean distance matrices
|
2018
|
R.B. Bapat
Hiroshi Kurata
|
|
+
|
Moore–Penrose inverse of incidence matrix of graphs with complete and cyclic blocks
|
2018
|
Ali Azimi
R.B. Bapat
Ehsan Estaji
|
|
+
|
$\mathcal{B}$-Partitions, determinant and permanent of graphs
|
2018
|
Ranveer Singh
R.B. Bapat
|
|
+
|
Identities for minors of the Laplacian, resistance and distance matrices of graphs with arbitrary weights
|
2018
|
Patrick Ali
Fouzul Atik
R.B. Bapat
|
|
+
PDF
Chat
|
The Arithmetic Tutte polynomial of two matrices associated to Trees
|
2018
|
R.B. Bapat
Sivaramakrishnan Sivasubramanian
|
|
+
|
Almost self-inverse graphs
|
2018
|
R.B. Bapat
Sashmita Panda
|
|
+
|
The Spectral Radius of the Reciprocal Distance Laplacian Matrix of a Graph
|
2018
|
R.B. Bapat
Swarup Kumar Panda
|
|
+
|
Moore–Penrose inverse of the incidence matrix of a distance regular graph
|
2018
|
Ali Azimi
R.B. Bapat
|
|
+
|
Resistance matrices of graphs with matrix weights
|
2018
|
Fouzul Atik
R.B. Bapat
M. Rajesh Kannan
|
|
+
|
Integral complete multipartite graphs
|
2018
|
R.B. Bapat
Masoud Karimi
|
|
+
PDF
Chat
|
Maximizing Spectral Radius and Number of Spanning Trees in Bipartite Graphs
|
2018
|
R.B. Bapat
|
|
+
|
Mathematical Programming and Game Theory
|
2018
|
Sarmistha Neogy
R.B. Bapat
Dipti Dubey
|
|
+
|
Squared distance matrix of a weighted tree
|
2018
|
R.B. Bapat
|
|
+
|
Maximizing spectral radius and number of spanning trees in bipartite graphs
|
2018
|
R.B. Bapat
|
|
+
|
Resistance matrices of graphs with matrix weights
|
2018
|
Fouzul Atik
R.B. Bapat
M. Rajesh Kannan
|
|
+
|
Outer inverses and Jacobi type identities
|
2017
|
R.B. Bapat
Manjunatha Prasad Karantha
Nupur Nandini
Divya Shenoy
|
|
+
|
Kirchhoff index and degree Kirchhoff index of complete multipartite graphs
|
2017
|
R.B. Bapat
Masoud Karimi
Jia‐Bao Liu
|
|
+
|
Convex and quasiconvex functions on trees and their applications
|
2017
|
R.B. Bapat
Debajit Kalita
Milan Nath
Deepak Sarma
|
|
+
|
Self-inverse unicyclic graphs and strong reciprocal eigenvalue property
|
2017
|
R.B. Bapat
Sashmita Panda
Sukanta Pati
|
|
+
|
Eigenvalues of some signed graphs with negative cliques.
|
2017
|
Ranveer Singh
R.B. Bapat
|
|
+
|
Eigenvalues of weakly balanced signed graphs and graphs with negative cliques
|
2017
|
Ranveer Singh
R.B. Bapat
|
|
+
PDF
Chat
|
On characteristic and permanent polynomials of a matrix
|
2017
|
Ranveer Singh
R.B. Bapat
|
|
+
|
Construction of cospectral integral regular graphs
|
2017
|
R.B. Bapat
Masoud Karimi
|
|
+
|
$\mathcal{B}$-partitions, application to determinant and permanent of graphs
|
2017
|
Ranveer Singh
R.B. Bapat
|
|
+
|
On distance and Laplacian matrices of trees with matrix weights
|
2017
|
Fouzul Atik
M. Rajesh Kannan
R.B. Bapat
|
|
+
|
Eigenvalues of weakly balanced signed graphs and graphs with negative cliques
|
2017
|
Ranveer Singh
R.B. Bapat
|
|
+
|
Strong reciprocal eigenvalue property of a class of weighted graphs
|
2016
|
R.B. Bapat
Sashmita Panda
Sukanta Pati
|
|
+
|
Smith normal form of some distance matrices
|
2016
|
R.B. Bapat
Masoud Karimi
|
|
+
PDF
Chat
|
Moore-Penrose inverse of a hollow symmetric matrix and a predistance matrix
|
2016
|
Hiroshi Kurata
R.B. Bapat
|
|
+
|
Outer inverses: Characterization and applications
|
2016
|
R.B. Bapat
Surender K. Jain
K. Manjunatha Prasad Karantha
M. David Raj
|
|
+
PDF
Chat
|
Non-archimedean valuations of eigenvalues of matrix polynomials
|
2016
|
Marianne Akian
R.B. Bapat
Stéphane Gaubert
|
|
+
|
kirchhoff index and degree kirchhoff index of complete multipartite graph
|
2016
|
R.B. Bapat
Masoud Karimi
Jia‐Bao Liu
|
|
+
PDF
Chat
|
The Smith normal form of product distance matrices
|
2015
|
R.B. Bapat
Sivaramakrishnan Sivasubramanian
|
|
+
|
The second immanant of some combinatorial matrices
|
2015
|
R.B. Bapat
Sivaramakrishnan Sivasubramanian
|
|
+
|
Moore–Penrose inverse of a Euclidean distance matrix
|
2015
|
Hiroshi Kurata
R.B. Bapat
|
|
+
PDF
Chat
|
On the Laplacian spectra of product graphs
|
2015
|
Sasmita Barik
R.B. Bapat
Sukanta Pati
|
|
+
|
Product distance matrix of a tree with matrix weights
|
2014
|
R.B. Bapat
Sivaramakrishnan Sivasubramanian
|
|
+
|
Monotonicity properties of certain Laplacian eigenvectors associated with trees
|
2014
|
R.B. Bapat
|
|
+
PDF
Chat
|
A formula for all minors of the adjacency matrix and an application
|
2014
|
R.B. Bapat
A. K. Lal
Sukanta Pati
|
|
+
|
Distance Matrix of a Tree
|
2014
|
R.B. Bapat
|
|
+
|
Laplacian Eigenvalues of Threshold Graphs
|
2014
|
R.B. Bapat
|
|
+
|
Resistance Distance
|
2014
|
R.B. Bapat
|
|
+
|
Adjacency Matrix
|
2014
|
R.B. Bapat
|
|
+
|
Graphs and Matrices
|
2014
|
R.B. Bapat
|
|
+
|
Algebraic Connectivity
|
2014
|
R.B. Bapat
|
|
+
|
Laplacian Matrix
|
2014
|
R.B. Bapat
|
|
+
|
Incidence Matrix
|
2014
|
R.B. Bapat
|
|
+
|
Monotonicity properties of certain Laplacian eigenvectors associated with trees
|
2014
|
R.B. Bapat
|
|
+
|
On minors of the compound matrix of a Laplacian
|
2013
|
R.B. Bapat
|
|
+
|
On the adjacency matrix of a threshold graph
|
2013
|
R.B. Bapat
|
|
+
PDF
Chat
|
On the adjacency matrix of a block graph
|
2013
|
R.B. Bapat
Souvik Roy
|
|
+
PDF
Chat
|
Product distance matrix of a graph and squared distance matrix of a tree
|
2013
|
R.B. Bapat
Sivaramakrishnan Sivasubramanian
|
|
+
|
The Third Immanant of q-Laplacian Matrices of Trees and Laplacians of Regular Graphs
|
2013
|
R.B. Bapat
Sivaramakrishnan Sivasubramanian
|
|
+
|
Simple expressions for the long walk distance
|
2012
|
Pavel Chebotarev
R.B. Bapat
R. Balaji
|
|
+
|
Permanents in Probability Theory
|
2012
|
R.B. Bapat
|
|
+
|
Rank Additivity and Matrix Partial Orders
|
2012
|
R.B. Bapat
|
|
+
PDF
Chat
|
On algebraic connectivity of graphs with at most two points of articulation in each block
|
2011
|
R.B. Bapat
A. K. Lal
Sukanta Pati
|
|
+
|
On weighted directed graphs
|
2011
|
R.B. Bapat
Debajit Kalita
Sukanta Pati
|
|
+
PDF
Chat
|
On the first passage time of a simple random walk on a tree
|
2011
|
R.B. Bapat
|
|
+
|
Inverse of the distance matrix of a block graph
|
2011
|
R.B. Bapat
Sivaramakrishnan Sivasubramanian
|
|
+
|
Identities for minors of the Laplacian, resistance and distance matrices
|
2011
|
R.B. Bapat
Sivaramakrishnan Sivasubramanian
|
|
+
|
Least-squares approximation by a tree distance
|
2010
|
R.B. Bapat
|
|
+
PDF
Chat
|
Resistance distance in wheels and fans
|
2010
|
R.B. Bapat
Somit Gupta
|
|
+
|
Inverses of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:math>-distance matrices of a tree
|
2009
|
R.B. Bapat
Pritha Rekhi
|
|
+
|
Sperner's Lemma with Multiple Labels
|
2009
|
R.B. Bapat
|
|
+
PDF
Chat
|
Laplacian Spectrum of Weakly Quasi-threshold Graphs
|
2008
|
R.B. Bapat
A. K. Lal
Sukanta Pati
|
|
+
|
A sharp upper bound on the spectral radius of weighted graphs
|
2007
|
Kinkar Ch. Das
R.B. Bapat
|
|
+
PDF
Chat
|
Block distance matrices
|
2007
|
R. Balaji
R.B. Bapat
|
|
+
|
On Euclidean distance matrices
|
2006
|
R. Balaji
R.B. Bapat
|
|
+
|
A q-analogue of the distance matrix of a tree
|
2006
|
R.B. Bapat
A. K. Lal
Sukanta Pati
|
|
+
|
A sharp upper bound on the largest Laplacian eigenvalue of weighted graphs
|
2005
|
Kinkar Ch. Das
R.B. Bapat
|
|
+
|
Determinant of the distance matrix of a tree with matrix weights
|
2005
|
R.B. Bapat
|
|
+
|
Distance matrix and Laplacian of a tree with attached graphs
|
2004
|
R.B. Bapat
|
|
+
|
On distance matrices and Laplacians
|
2004
|
R.B. Bapat
Steve Kirkland
Michael Neumann
|
|
+
PDF
Chat
|
Perturbation of eigenvalues of matrix pencils and the optimal assignment problem
|
2004
|
Marianne Akian
R.B. Bapat
Stéphane Gaubert
|
|
+
|
Resistance matrix of a weighted graph
|
2004
|
R.B. Bapat
|
|
+
|
Characterization of generalized inverses by a rank equation
|
2003
|
Bing Zheng
R.B. Bapat
|
|
+
PDF
Chat
|
A Simple Method for Computing Resistance Distance
|
2003
|
R.B. Bapat
Iván Gutman
Wenjun Xiao
|
|
+
|
Perron eigenvector of the Tsetlin matrix
|
2003
|
R.B. Bapat
|
|
+
PDF
Chat
|
Generalized inverses of bordered matrices
|
2003
|
R.B. Bapat
Bing Zheng
|
|
+
|
Outer inverses: Jacobi type identities and nullities of submatrices
|
2002
|
R.B. Bapat
|
|
+
|
The perturbed laplacian matrix of a graph
|
2001
|
R.B. Bapat
Steve Kirkland
Sukanta Pati
|
|
+
|
Generic Asymptotics of Eigenvalues Using Min-Plus Algebra
|
2001
|
Marianne Akian
R.B. Bapat
Stéphane Gaubert
|
|
+
|
Rank preservers of matrices over max algebra
|
2000
|
R.B. Bapat
Sukanta Pati
Seok-Zun Song
|
|
+
|
Moore–Penrose inverse of set inclusion matrices
|
2000
|
R.B. Bapat
|
|
+
|
Edge version of the matrix tree theorem for trees
|
2000
|
R.B. Bapat
Jerrold W. Grossman
Amey Kulkarni
|
|
+
|
Minors of some matrices associated with a tree
|
2000
|
R.B. Bapat
Amey Kulkarni
|
|
+
|
Linear estimation in models based on a graph
|
1999
|
R.B. Bapat
|
|
+
|
Generalized matrix tree theorem for mixed graphs
|
1999
|
R.B. Bapat
Jerrold W. Grossman
Amey Kulkarni
|
|
+
|
Algebraic connectivity and the characteristic set of a graph
|
1998
|
R.B. Bapat
Sukanta Pati
|
|
+
|
A max version of the Perron-Frobenius theorem
|
1998
|
R.B. Bapat
|
|
+
|
Structure of a nonnegative regular matrix and its generalized inverses
|
1998
|
R.B. Bapat
|
|
+
|
Nonnegative idempotent matrices and the minus partial order
|
1997
|
R.B. Bapat
|
|
+
|
Weighted Moore-Penrose inverse of a boolean matrix
|
1997
|
R.B. Bapat
S. K. Jain
Sukanta Pati
|
|
+
|
Nonnegative Matrices and Applications
|
1997
|
R.B. Bapat
T. E. S. Raghavan
|
|
+
|
Topics in combinatorial theory
|
1997
|
R.B. Bapat
T. E. S. Raghavan
|
|
+
|
Moore-penrose inverse of the incidence matrix of a tree
|
1997
|
R.B. Bapat
|
|
+
|
Perron-frobenius theory for a generalized eigenproblem
|
1995
|
R.B. Bapat
D.D. Olesky
P. van den Driessche
|
|
+
|
A master of the row space and the column space: The mathematical work of Sujit Kumar Mitra
|
1994
|
R.B. Bapat
Robert E. Hartwig
|
|
+
|
Generalized inverses with proportional minors
|
1994
|
R.B. Bapat
|
|
+
|
Path positivity and infinite Coxeter groups
|
1994
|
R.B. Bapat
A. K. Lal
|
|
+
|
Inequalities for the q-permanent
|
1994
|
R.B. Bapat
A. K. Lal
|
|
+
|
Symmetric function means and permanents
|
1993
|
R.B. Bapat
|
|
+
|
The Moore-Penrose inverse over a commutative ring
|
1992
|
R.B. Bapat
Donald W. Robinson
|
|
+
|
Research problem
|
1992
|
R.B. Bapat
|
|
+
|
An interlacing theorem for tridiagonal matrices
|
1991
|
R.B. Bapat
|
|
+
|
On hypergroups of matrices
|
1991
|
R.B. Bapat
V. S. Sunder
|
|
+
|
Path-positive graphs
|
1991
|
R.B. Bapat
A. K. Lal
|
|
+
|
Majorization and singular values. III
|
1991
|
R.B. Bapat
|
|
+
|
Permanents in probability and statistics
|
1990
|
R.B. Bapat
|
|
+
|
Mixed discriminants of positive semidefinite matrices
|
1989
|
R.B. Bapat
|
|
+
|
Majorization and Singular Values II
|
1989
|
R.B. Bapat
|
|
+
|
Refining schur's inequality using schur complements
|
1988
|
R.B. Bapat
|
|
+
PDF
Chat
|
Multinomial probabilities, permanents and a conjecture of Karlin and Rinott
|
1988
|
R.B. Bapat
|
|
+
|
Majorzation and singular values
|
1987
|
R.B. Bapat
|
|
+
|
Two inequalities for the Perron Root
|
1987
|
R.B. Bapat
|
|
+
|
Inequalities for mixed Schur functions
|
1986
|
R.B. Bapat
|
|
+
|
Applications of an inequality in information theory to matrices
|
1986
|
R.B. Bapat
|
|
+
|
A bound for the permanent of the Laplacian matrix
|
1986
|
R.B. Bapat
|
|
+
|
On permanents of positive semidefinite matrices
|
1985
|
R.B. Bapat
|
|
+
|
A stronger form of the Egorychev-Falikman theorem on permanents
|
1984
|
R.B. Bapat
|
|
+
|
A matrix of permanents
|
1984
|
R.B. Bapat
|