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Bapat, Ravindra Bhalchandra

Author ID: bapat.ravindra-bhalchandra Recent zbMATH articles by "Bapat, Ravindra Bhalchandra"
Published as: Bapat, R. B.; Bapat, Ravindra B.; Bapat, Ravindra; Bapat, Ravi; Bapat, R.; Bapat, Ravindra Bhalchandra; Bapat, Ravi B.
Further Spellings: रवींद्र भालचंद्र बापट
Homepage: https://www.isid.ac.in/~rbb/
External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef
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Co-Authors

62 single-authored
17 Pati, Sukanta
11 Sivasubramanian, Sivaramakrishnan
8 Balaji, Ramamurthy
8 Goel, Shivani
8 Lal, Arbind Kumar
8 Neogy, Samir Kumar
8 Prasad, K. Manjunatha
6 Azimi, Ali
6 Jain, Surender Kumar
5 Karimi, Masoud
5 Panda, Swarup Kumar
4 Akian, Marianne
4 Beg, Mirza Iftekhar
4 Gaubert, Stéphane
4 Raghavan, Tirukkannamangai E. S.
4 Rajesh Kannan, M.
3 Atik, Fouzul
3 Balasubramanian, Krishnaswami
3 Das, Arup Kumar
3 Kirkland, Stephen J.
3 Kulkarni, Devadatta M.
3 Kurata, Hiroshi
3 Neumann, Michael
3 Parthasarathy, Thiruvenkatachari
3 Sunder, Viakalathur S.
3 Zheng, Bing
2 Bhaskara Rao, K. P. S.
2 Bollhöfer, Matthias
2 Das, Kinkar Chandra
2 Dopico, Froilán M.
2 Dubey, Dipti
2 Faßbender, Heike
2 Fujita, Shinya
2 Ghouchan, Mohammad Farrokhi Derakhshandeh
2 Grossman, Jerrold Wayne
2 Gupta, Somit
2 Hartwig, Robert E.
2 Jana, Rakesh
2 Kalita, Debajit
2 Karantha, Manjunatha Prasad
2 Kelathaya, Umashankara
2 Kochar, Subhash C.
2 Legay, Sylvain
2 Manoussakis, Yannis G.
2 Matsui, Yasuko
2 Ramamurthy, Balaji
2 Roy, Souvik
2 Sakuma, Tadashi
2 Singh, Ranveer
2 Tuza, Zsolt
1 Ali, Patrick
1 Barik, Sasmita
1 Ben-Israel, Adi
1 Catral, Minerva
1 Chebotarev, Pavel Yu.
1 Constantine, Gregory M.
1 Dey, Aloke
1 Estaji, Ehsan
1 Friedland, Shmuel
1 Ghorbani, Ebrahim
1 Holbrook, John A. R.
1 Horn, Roger Alan
1 Kamath, Asha
1 Karantha, K. Manjunatha Prasad
1 Kittaneh, Fuad
1 Klavžar, Sandi
1 Kumar, K. Reji
1 Liu, Jia-bao
1 MacGillivray, Gary
1 Man Kam Kwong
1 Mitra, Sujit Kumar
1 Nandini, Nupur
1 Olesky, D. Dale
1 Puntanen, Simo
1 Purushothama, Divya Shenoy
1 Raj, M. David
1 Rekhi, Pritha
1 Robinson, Donald W.
1 Saha, S. S.
1 Sathe, Yashawant S.
1 Shenoy, Divya P.
1 Snyder, Larry E.
1 Song, Seok-Zun
1 Stanford, David P.
1 Tijs, Stef
1 Tynan, John
1 van den Driessche, Pauline
1 Vandendriesche, Peter
1 Varkady, Savitha
1 Vijayakumar, Ambat
1 Zaslavsky, Thomas
1 Zhu, Xuding
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Serials

77 Linear Algebra and its Applications
25 Linear and Multilinear Algebra
7 Special Matrices
6 Sankhyā. Series A. Methods and Techniques
6 ELA. The Electronic Journal of Linear Algebra
5 Discrete Mathematics
4 The Mathematics Student
4 Statistics & Probability Letters
3 Annals of Operations Research
3 Universitext
2 Applied Mathematics and Computation
2 Proceedings of the American Mathematical Society
2 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing
2 SIAM Journal on Matrix Analysis and Applications
2 International Game Theory Review
2 AKCE International Journal of Graphs and Combinatorics
2 Encyclopedia of Mathematics and Its Applications
2 Applicable Analysis and Discrete Mathematics
2 Statistical Science and Interdisciplinary Research
2 Transactions on Combinatorics
1 American Mathematical Monthly
1 Discrete Applied Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Calcutta Statistical Association. Bulletin
1 Journal of Combinatorial Theory. Series A
1 Journal of Statistical Planning and Inference
1 Matematički Vesnik
1 Networks
1 Bulletin of the Iranian Mathematical Society
1 Graphs and Combinatorics
1 Applications of Mathematics
1 Communications in Statistics. Theory and Methods
1 Mathematical Programming. Series A. Series B
1 Discussiones Mathematicae. Graph Theory
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 MATCH - Communications in Mathematical and in Computer Chemistry
1 Journal of Algebra and its Applications
1 International Journal of Information & Systems Sciences
1 The Journal of Mathematical Sciences. New Series
1 Contributions to Discrete Mathematics
1 Texts and Readings in Mathematics
1 Electronic Journal of Graph Theory and Applications
1 Indian Statistical Institute Series

Publications by Year

Citations contained in zbMATH Open

168 Publications have been cited 1,942 times in 1,392 Documents Cited by Year
Nonnegative matrices and applications. Zbl 0879.15015
Bapat, R. B.; Raghavan, T. E. S.
168
1997
On distance matrices and Laplacians. Zbl 1064.05097
Bapat, R.; Kirkland, S. J.; Neumann, M.
78
2005
On a conjecture concerning spanning tree invariants and loop systems. Zbl 1215.05028
Bapat, R. B.
74
2010
Graphs and matrices. Zbl 1248.05002
Bapat, R. B.
68
2011
Inverses of triangular matrices and bipartite graphs. Zbl 1288.05152
Bapat, R. B.; Ghorbani, E.
62
2014
Order statistics for nonidentically distributed variables and permanents. Zbl 0672.62060
Bapat, R. B.; Beg, M. I.
54
1989
Generalized inverses over integral domains. Zbl 0712.15004
Bapat, R. B.; Rao, K. P. S. Bhaskara; Prasad, K. Manjunatha
51
1990
Graphs and matrices. 2nd ed. Zbl 1301.05001
Bapat, Ravindra B.
46
2014
A max version of the Perron-Frobenius theorem. Zbl 0941.15020
Bapat, R. B.
44
1998
A \(q\)-analogue of the distance matrix of a tree. Zbl 1092.05041
Bapat, R. B.; Lal, A. K.; Pati, Sukanta
42
2006
Resistance distance in wheels and fans. Zbl 1203.05041
Bapat, R. B.; Gupta, Somit
41
2010
On weighted directed graphs. Zbl 1229.05198
Bapat, R. B.; Kalita, D.; Pati, S.
38
2012
Generalized matrix tree theorem for mixed graphs. Zbl 0940.05042
Bapat, Ravindra B.; Grossman, Jerrold W.; Kulkarni, Devadatta M.
37
1999
On majorization and Schur products. Zbl 0577.15016
Bapat, R. B.; Sunder, V. S.
36
1985
Asymptotics of the Perron eigenvalue and eigenvector using max-algebra. Zbl 0922.15001
Akian, Marianne; Bapat, Ravindra; Gaubert, Stéphane
32
1998
On likelihood-ratio ordering of order statistics. Zbl 0790.62047
Bapat, R. B.; Kochar, Subhash C.
30
1994
Mixed discriminants of positive semidefinite matrices. Zbl 0696.15007
Bapat, R. B.
29
1989
Algebraic connectivity and the characteristic set of a graph. Zbl 0944.05066
Bapat, R. B.; Pati, Sukanta
27
1998
Energy of a graph is never an odd integer. Zbl 1257.05082
Bapat, R. B.; Pati, Sukanta
26
2004
Resistance distance in graphs. Zbl 1194.05031
Bapat, R. B.
25
1999
Inverse of the distance matrix of a block graph. Zbl 1232.05112
Bapat, R. B.; Sivasubramanian, Sivaramakrishnan
23
2011
Generalized inverses over integral domains. II: Group inverses and Drazin inverses. Zbl 0722.15007
Prasad, K. Manjunatha; Rao, K. P. S. Bhaskara; Bapat, R. B.
23
1991
Resistance matrix of a weighted graph. Zbl 1052.05028
Bapat, R. B.
22
2004
A sharp upper bound on the spectral radius of weighted graphs. Zbl 1156.05033
Das, Kinkar Ch.; Bapat, R. B.
21
2008
Determinant of the distance matrix of a tree with matrix weights. Zbl 1108.15006
Bapat, R. B.
18
2006
On the Laplacian spectra of product graphs. Zbl 1464.05226
Barik, S.; Bapat, R. B.; Pati, S.
18
2015
Pattern properties and spectral inequalities in max algebra. Zbl 0835.15007
Bapat, R. B.; Stanford, David P.; van den Driessche, P.
17
1995
The perturbed Laplacian matrix of a graph. Zbl 0984.05056
Bapat, R. B.; Kirkland, S. J.; Pati, S.
17
2001
On the adjacency matrix of a threshold graph. Zbl 1282.05089
Bapat, R. B.
17
2013
Generalized inverse \(A^{(2)}_{T,S}\) and a rank equation. Zbl 1057.15008
Zheng, Bing; Bapat, R. B.
16
2004
The generalized Moore-Penrose inverse. Zbl 0743.15007
Prasad, K. Manjunatha; Bapat, R. B.
16
1992
On Euclidean distance matrices. Zbl 1118.15024
Balaji, R.; Bapat, R. B.
15
2007
\(D_1AD_ 2\) theorems for multidimensional matrices. Zbl 0503.15008
Bapat, Ravindra
15
1982
A sharp upper bound on the largest Laplacian eigenvalue of weighted graphs. Zbl 1072.05039
Das, Kinkar Ch.; Bapat, R. B.
15
2005
Identities for minors of the Laplacian, resistance and distance matrices. Zbl 1221.05227
Bapat, R. B.; Sivasubramanian, Sivaramakrishnan
15
2011
Distance matrix and Laplacian of a tree with attached graphs. Zbl 1075.05052
Bapat, R. B.
15
2005
An extension of a theorem of Darroch and Ratcliff in loglinear models and its application to scaling multidimensional matrices. Zbl 0661.15005
Bapat, R. B.; Raghavan, T. E. S.
14
1989
Infinite divisibility of multivariate gamma distributions and M-matrices. Zbl 0669.60029
Bapat, R. B.
14
1989
A constructive proof of a permutation-based generalization of Sperner’s lemma. Zbl 0673.55004
Bapat, R. B.
14
1989
Moore-Penrose inverse of the incidence matrix of a tree. Zbl 0881.15005
Bapat, R. B.
14
1997
Convex and quasiconvex functions on trees and their applications. Zbl 1370.05131
Bapat, R. B.; Kalita, D.; Nath, M.; Sarma, D.
14
2017
Edge version of the matrix tree theorem for trees. Zbl 0960.05067
Bapat, Ravindra B.; Grossman, Jerrold W.; Kulkarni, Devadatta M.
13
2000
Multinomial probabilities, permanents and a conjecture of Karlin and Rinott. Zbl 0647.60019
Bapat, R. B.
12
1988
The distance matrix of a bidirected tree. Zbl 1173.05339
Bapat, Ravindra B.; Lal, Arbind K.; Pati, Sukanta
12
2009
A bound for the permanent of the Laplacian matrix. Zbl 0587.15010
Bapat, R. B.
12
1986
The Moore-Penrose inverse over a commutative ring. Zbl 0764.15002
Bapat, R. B.; Robinson, Donald W.
12
1992
Outer inverses: characterization and applications. Zbl 1398.15004
Bapat, Ravindra B.; Jain, Surender Kumar; Karantha, K. Manjunatha Prasad; Raj, M. David
12
2017
An extremal property of the permanent and the determinant. Zbl 0602.15008
Bapat, R. B.; Sunder, V. S.
11
1986
Nonnegative idempotent matrices and the minus partial order. Zbl 0878.15013
Bapat, R. B.; Jain, S. K.; Snyder, L. E.
11
1997
Kirchhoff index and degree Kirchhoff index of complete multipartite graphs. Zbl 1372.05057
Bapat, Ravindra B.; Karimi, Masoud; Liu, Jia-Bao
11
2017
On the adjacency matrix of a block graph. Zbl 1296.05118
Bapat, R. B.; Roy, Souvik
11
2014
Laplacian spectrum of weakly quasi-threshold graphs. Zbl 1226.05150
Bapat, R. B.; Lal, A. K.; Pati, Sukanta
10
2008
Permanents in probability and statistics. Zbl 0694.15005
Bapat, R. B.
10
1990
Generalized inverses with proportional minors. Zbl 0810.15001
Bapat, R. B.
10
1994
Network majority on tree topological network. Zbl 1356.05141
Bapat, Ravindra B.; Fujita, Shinya; Legay, Sylvain; Manoussakis, Yannis; Matsui, Yasuko; Sakuma, Tadashi; Tuza, Zsolt
10
2016
Majorization and singular values. Zbl 0651.15014
Bapat, R. B.
9
1987
Majorization and singular values. II. Zbl 0686.15006
Bapat, R. B.
9
1989
Optimal block designs with minimal number of observations. Zbl 0724.62073
Bapat, R. B.; Dey, A.
9
1991
Perron-Frobenius theory for a generalized eigenproblem. Zbl 0856.15011
Bapat, R. B.; Olesky, D. D.; Van Den Driesche, P.
8
1995
Linear algebra and linear models. 3rd ed. Zbl 1267.62077
Bapat, Ravindra B.
8
2012
Perturbation of eigenvalues of matrix pencils and the optimal assignment problem. Zbl 1050.15006
Akian, Marianne; Bapat, Ravindra; Gaubert, Stéphane
8
2004
Structure of a nonnegative regular matrix and its generalized inverses. Zbl 0885.15015
Bapat, R. B.
8
1998
Product distance matrix of a graph and squared distance matrix of a tree. Zbl 1299.05077
Bapat, R. B.; Sivasubramanian, S.
8
2013
The Laplacian matrix of a graph. Zbl 1194.05079
Bapat, R. B.
8
1996
The product distance matrix of a trea and a bivariate zeta function of a graphs. Zbl 1250.15006
Bapat, R. B.; Sivasubramanian, S.
8
2012
Safe sets, network majority on weighted trees. Zbl 1418.90051
Bapat, Ravindra B.; Fujita, Shinya; Legay, Sylvain; Manoussakis, Yannis; Matsui, Yasuko; Sakuma, Tadashi; Tuza, Zsolt
8
2018
Doubly stochastic matrices with equal subpermanents. Zbl 0518.15007
Bapat, Ravindra
7
1983
Moore-Penrose inverse of set inclusion matrices. Zbl 0963.15004
Bapat, R. B.
7
2000
Identities and recurrence relations for order statistics corresponding to nonidentically distributed variables. Zbl 0696.62220
Bapat, R. B.; Beg, M. I.
7
1989
Interpolating the determinantal and permanental Hadamard inequality. Zbl 0765.15008
Bapat, R. B.
7
1992
Recent developments and open problems in the theory of permanents. Zbl 1175.15007
Bapat, R. B.
7
2007
Squared distance matrix of a tree: inverse and inertia. Zbl 1330.15007
Bapat, R. B.; Sivasubramanian, Sivaramakrishnan
7
2016
Resistance matrices of graphs with matrix weights. Zbl 1411.05105
Atik, Fouzul; Bapat, R. B.; Rajesh Kannan, M.
7
2019
Block distance matrices. Zbl 1148.15016
Balaji, R.; Bapat, R. B.
6
2007
Linear algebra and linear models. 2nd ed. Zbl 0943.62060
Bapat, R. B.
6
2000
Applications of an inequality in information theory to matrices. Zbl 0587.15011
Bapat, R. B.
6
1986
Majorization and singular values. III. Zbl 0741.15009
Bapat, R. B.
6
1991
On algebraic connectivity of graphs with at most two points of articulation in each block. Zbl 1244.05139
Bapat, R. B.; Lal, A. K.; Pati, S.
6
2012
On characteristic and permanent polynomials of a matrix. Zbl 1392.15014
Singh, Ranveer; Bapat, R. B.
6
2017
Non-archimedean valuations of eigenvalues of matrix polynomials. Zbl 1341.15005
Akian, Marianne; Bapat, Ravindra; Gaubert, Stéphane
6
2016
Product distance matrix of a tree with matrix weights. Zbl 1306.05084
Bapat, R. B.; Sivasubramanian, Sivaramakrishnan
6
2015
Moore-Penrose inverse of a hollow symmetric matrix and a predistance matrix. Zbl 1342.15026
Kurata, Hiroshi; Bapat, Ravindra B.
6
2016
An inverse formula for the distance matrix of a wheel graph with an even number of vertices. Zbl 1458.05140
Balaji, R.; Bapat, R. B.; Goel, Shivani
6
2021
Moore-Penrose inverse of incidence matrix of graphs with complete and cyclic blocks. Zbl 1400.05153
Azimi, A.; Bapat, R. B.; Estaji, E.
6
2019
Moore-Penrose inverse of the incidence matrix of a distance regular graph. Zbl 1418.05067
Azimi, A.; Bapat, R. B.
6
2018
Resistance matrix and \(q\)-Laplacian of a unicyclic graph. Zbl 1194.05030
Bapat, R. B.
5
2008
Two inequalities for the Perron root. Zbl 0618.15010
Bapat, R. B.
5
1987
On hypergroups of matrices. Zbl 0734.20033
Bapat, R. B.; Sunder, V. S.
5
1991
Path-positive graphs. Zbl 0764.05056
Bapat, R. B.; Lal, A. K.
5
1991
On families of distributions closed under extrema. Zbl 0746.62009
Balasubramanian, K.; Beg, M. I.; Bapat, R. B.
5
1991
Strong reciprocal eigenvalue property of a class of weighted graphs. Zbl 1347.05113
Bapat, R. B.; Panda, S. K.; Pati, S.
5
2016
Resistance distance in directed cactus graphs. Zbl 1444.05060
Balaji, R.; Bapat, R. B.; Goel, Shivani
5
2020
Squared distance matrix of a weighted tree. Zbl 1467.05152
Bapat, Ravindra B.
5
2019
A generalization of \(A\circ A^{-1}\geq I\). Zbl 0647.15012
Bapat, R. B.; Man Kam Kwong
4
1987
Linear algebra and linear models. Zbl 0834.62062
Bapat, R. B.
4
1993
Characterization of generalized inverses by a rank equation. Zbl 1054.15006
Zheng, Bing; Bapat, R. B.
4
2004
An enumerating function for spanning forests with color restrictions. Zbl 0804.05052
Bapat, R. B.; Constantine, G.
4
1992
On diagonal products of doubly stochastic matrices. Zbl 0435.15018
Bapat, R.; Raghavan, T. E. S.
4
1980
Path positivity and infinite Coxeter groups. Zbl 0799.05041
Bapat, R. B.; Lal, A. K.
4
1994
Inequalities for the \(q\)-permanent. Zbl 0798.15004
Bapat, R. B.; Lal, A. K.
4
1994
On distance matrices of wheel graphs with an odd number of vertices. Zbl 1506.05116
Balaji, R.; Bapat, R. B.; Goel, Shivani
3
2022
Resistance matrices of balanced directed graphs. Zbl 1485.05071
Balaji, R.; Bapat, R. B.; Goel, Shivani
2
2022
Steiner distance matrix of caterpillar graphs. Zbl 1484.05121
Azimi, Ali; Bapat, Ravindra B.; Goel, Shivani
1
2022
An inverse formula for the distance matrix of a wheel graph with an even number of vertices. Zbl 1458.05140
Balaji, R.; Bapat, R. B.; Goel, Shivani
6
2021
On distance and Laplacian matrices of trees with matrix weights. Zbl 1472.05093
Atik, Fouzul; Kannan, M. Rajesh; Bapat, Ravindra B.
4
2021
The bipartite distance matrix of a nonsingular tree. Zbl 1476.05107
Bapat, R. B.; Jana, Rakesh; Pati, S.
3
2021
Resistance distance of blowups of trees. Zbl 1466.05032
Azimi, A.; Bapat, R. B.; Farrokhi D. G., M.
1
2021
Resistance distance in directed cactus graphs. Zbl 1444.05060
Balaji, R.; Bapat, R. B.; Goel, Shivani
5
2020
Identities for minors of the Laplacian, resistance and distance matrices of graphs with arbitrary weights. Zbl 1428.05182
Ali, Patrick; Atik, Fouzul; Bapat, Ravindra B.
3
2020
Distance matrices perturbed by Laplacians. Zbl 07285947
Ramamurthy, Balaji; Bapat, Ravindra Bhalchandra; Goel, Shivani
1
2020
Smith normal form of a distance matrix inspired by the four-point condition. Zbl 1447.05054
Bapat, R. B.; Sivasubramanian, Sivaramakrishnan
1
2020
Resistance matrices of graphs with matrix weights. Zbl 1411.05105
Atik, Fouzul; Bapat, R. B.; Rajesh Kannan, M.
7
2019
Moore-Penrose inverse of incidence matrix of graphs with complete and cyclic blocks. Zbl 1400.05153
Azimi, A.; Bapat, R. B.; Estaji, E.
6
2019
Squared distance matrix of a weighted tree. Zbl 1467.05152
Bapat, Ravindra B.
5
2019
The Moore-Penrose inverse of the incidence matrix of complete multipartite and bi-block graphs. Zbl 1418.05081
Azimi, A.; Bapat, R. B.
2
2019
Safe sets, network majority on weighted trees. Zbl 1418.90051
Bapat, Ravindra B.; Fujita, Shinya; Legay, Sylvain; Manoussakis, Yannis; Matsui, Yasuko; Sakuma, Tadashi; Tuza, Zsolt
8
2018
Moore-Penrose inverse of the incidence matrix of a distance regular graph. Zbl 1418.05067
Azimi, A.; Bapat, R. B.
6
2018
\(\mathcal{B}\)-partitions, determinant and permanent of graphs. Zbl 1474.05325
Singh, Ranveer; Bapat, Ravindra B.
3
2018
The spectral radius of the reciprocal distance Laplacian matrix of a graph. Zbl 1409.05071
Bapat, Ravindra; Panda, Swarup Kumar
3
2018
Integral complete multipartite graphs. Zbl 1390.05120
Bapat, Ravindra B.; Karimi, Masoud
2
2018
The Arithmetic Tutte polynomial of two matrices associated to Trees. Zbl 1423.05042
Bapat, R. B.; Sivasubramanian, Sivaramakrishnan
2
2018
Outer inverses and Jacobi type identities. Zbl 1373.15008
Bapat, Ravindra B.; Karantha, Manjunatha Prasad; Nandini, Nupur; Shenoy, Divya P.
1
2018
Convex and quasiconvex functions on trees and their applications. Zbl 1370.05131
Bapat, R. B.; Kalita, D.; Nath, M.; Sarma, D.
14
2017
Outer inverses: characterization and applications. Zbl 1398.15004
Bapat, Ravindra B.; Jain, Surender Kumar; Karantha, K. Manjunatha Prasad; Raj, M. David
12
2017
Kirchhoff index and degree Kirchhoff index of complete multipartite graphs. Zbl 1372.05057
Bapat, Ravindra B.; Karimi, Masoud; Liu, Jia-Bao
11
2017
On characteristic and permanent polynomials of a matrix. Zbl 1392.15014
Singh, Ranveer; Bapat, R. B.
6
2017
Self-inverse unicyclic graphs and strong reciprocal eigenvalue property. Zbl 1370.05132
Bapat, R. B.; Panda, S. K.; Pati, S.
4
2017
Smith normal form of some distance matrices. Zbl 1360.05094
Bapat, Ravindra B.; Karimi, Masoud
4
2017
Construction of cospectral integral regular graphs. Zbl 1366.05064
Bapat, Ravindra B.; Karimi, Masoud
2
2017
Cayley-Hamilton theorem for mixed discriminants. Zbl 1375.15007
Bapat, R. B.; Roy, Souvik
2
2017
Network majority on tree topological network. Zbl 1356.05141
Bapat, Ravindra B.; Fujita, Shinya; Legay, Sylvain; Manoussakis, Yannis; Matsui, Yasuko; Sakuma, Tadashi; Tuza, Zsolt
10
2016
Squared distance matrix of a tree: inverse and inertia. Zbl 1330.15007
Bapat, R. B.; Sivasubramanian, Sivaramakrishnan
7
2016
Non-archimedean valuations of eigenvalues of matrix polynomials. Zbl 1341.15005
Akian, Marianne; Bapat, Ravindra; Gaubert, Stéphane
6
2016
Moore-Penrose inverse of a hollow symmetric matrix and a predistance matrix. Zbl 1342.15026
Kurata, Hiroshi; Bapat, Ravindra B.
6
2016
Strong reciprocal eigenvalue property of a class of weighted graphs. Zbl 1347.05113
Bapat, R. B.; Panda, S. K.; Pati, S.
5
2016
The Smith normal form of product distance matrices. Zbl 1338.15073
Bapat, R. B.; Sivasubramanian, Sivaramakrishnan
3
2016
Construction of cospectral regular graphs. Zbl 1461.05119
Bapat, Ravindra B.; Karimi, Masoud
3
2016
Optimization models with economic and game theoretic applications. Zbl 1356.00061
2
2016
On a quadratic programming problem involving distances in trees. Zbl 1348.90511
Bapat, R. B.; Neogy, S. K.
2
2016
On the Laplacian spectra of product graphs. Zbl 1464.05226
Barik, S.; Bapat, R. B.; Pati, S.
18
2015
Product distance matrix of a tree with matrix weights. Zbl 1306.05084
Bapat, R. B.; Sivasubramanian, Sivaramakrishnan
6
2015
Moore-Penrose inverse of a Euclidean distance matrix. Zbl 1310.15060
Kurata, Hiroshi; Bapat, Ravindra B.
4
2015
The second immanant of some combinatorial matrices. Zbl 1463.15017
Bapat, R. B.; Sivasubramanian, Sivaramakrishnan
3
2015
Inverses of triangular matrices and bipartite graphs. Zbl 1288.05152
Bapat, R. B.; Ghorbani, E.
62
2014
Graphs and matrices. 2nd ed. Zbl 1301.05001
Bapat, Ravindra B.
46
2014
On the adjacency matrix of a block graph. Zbl 1296.05118
Bapat, R. B.; Roy, Souvik
11
2014
Corrigendum to “Generalized principal pivot transform”. Zbl 1332.15015
Rajesh Kannan, M.; Bapat, R. B.
3
2014
Generalized principal pivot transform. Zbl 1291.15005
Rajesh Kannan, M.; Bapat, R. B.
2
2014
A formula for all minors of the adjacency matrix and an application. Zbl 1291.05117
Bapat, R. B.; Lal, A. K.; Pati, S.
1
2014
On the adjacency matrix of a threshold graph. Zbl 1282.05089
Bapat, R. B.
17
2013
Product distance matrix of a graph and squared distance matrix of a tree. Zbl 1299.05077
Bapat, R. B.; Sivasubramanian, S.
8
2013
Combinatorial matrix theory and generalized inverses of matrices. Zbl 1261.15001
4
2013
The third immanant of \(q\)-Laplacian matrices of trees and Laplacians of regular graphs. Zbl 1283.05161
Bapat, R. B.; Sivasubramanian, Sivaramakrishnan
2
2013
Minisymposium in honor of Miroslav Fiedler. Zbl 1280.00058
1
2013
On weighted directed graphs. Zbl 1229.05198
Bapat, R. B.; Kalita, D.; Pati, S.
38
2012
Linear algebra and linear models. 3rd ed. Zbl 1267.62077
Bapat, Ravindra B.
8
2012
The product distance matrix of a trea and a bivariate zeta function of a graphs. Zbl 1250.15006
Bapat, R. B.; Sivasubramanian, S.
8
2012
On algebraic connectivity of graphs with at most two points of articulation in each block. Zbl 1244.05139
Bapat, R. B.; Lal, A. K.; Pati, S.
6
2012
Graphs and matrices. Zbl 1248.05002
Bapat, R. B.
68
2011
Inverse of the distance matrix of a block graph. Zbl 1232.05112
Bapat, R. B.; Sivasubramanian, Sivaramakrishnan
23
2011
Identities for minors of the Laplacian, resistance and distance matrices. Zbl 1221.05227
Bapat, R. B.; Sivasubramanian, Sivaramakrishnan
15
2011
On the first passage time of a simple random walk on a tree. Zbl 1232.60033
Bapat, R. B.
2
2011
On a conjecture concerning spanning tree invariants and loop systems. Zbl 1215.05028
Bapat, R. B.
74
2010
Resistance distance in wheels and fans. Zbl 1203.05041
Bapat, R. B.; Gupta, Somit
41
2010
The distance matrix of a bidirected tree. Zbl 1173.05339
Bapat, Ravindra B.; Lal, Arbind K.; Pati, Sukanta
12
2009
Inverses of \(q\)-distance matrices of a tree. Zbl 1175.05031
Bapat, R. B.; Rekhi, Pritha
3
2009
Sperner’s lemma with multiple labels. Zbl 1203.05134
Bapat, R. B.
2
2009
Nonnegative matrices and applications. Paperback reprint of the 1997 original. Zbl 1170.15303
Bapat, R. B.; Raghavan, T. E. S.
1
2009
A sharp upper bound on the spectral radius of weighted graphs. Zbl 1156.05033
Das, Kinkar Ch.; Bapat, R. B.
21
2008
Laplacian spectrum of weakly quasi-threshold graphs. Zbl 1226.05150
Bapat, R. B.; Lal, A. K.; Pati, Sukanta
10
2008
Resistance matrix and \(q\)-Laplacian of a unicyclic graph. Zbl 1194.05030
Bapat, R. B.
5
2008
Mathematical programming and game theory for decision making. Zbl 1145.91007
1
2008
Resistance matrices of blocks in a graph. Zbl 1170.05325
Bapat, R. B.; Gupta, Somit
1
2008
Determinantal divisor rank of an integral matrix. Zbl 1152.15002
Bapat, Ravi B.
1
2008
On Euclidean distance matrices. Zbl 1118.15024
Balaji, R.; Bapat, R. B.
15
2007
Recent developments and open problems in the theory of permanents. Zbl 1175.15007
Bapat, R. B.
7
2007
Block distance matrices. Zbl 1148.15016
Balaji, R.; Bapat, R. B.
6
2007
On generalized inverses of banded matrices. Zbl 1152.15005
Bapat, R. B.
3
2007
A \(q\)-analogue of the distance matrix of a tree. Zbl 1092.05041
Bapat, R. B.; Lal, A. K.; Pati, Sukanta
42
2006
Determinant of the distance matrix of a tree with matrix weights. Zbl 1108.15006
Bapat, R. B.
18
2006
On distance matrices and Laplacians. Zbl 1064.05097
Bapat, R.; Kirkland, S. J.; Neumann, M.
78
2005
A sharp upper bound on the largest Laplacian eigenvalue of weighted graphs. Zbl 1072.05039
Das, Kinkar Ch.; Bapat, R. B.
15
2005
Distance matrix and Laplacian of a tree with attached graphs. Zbl 1075.05052
Bapat, R. B.
15
2005
On functions that preserve M-matrices and inverse M-matrices. Zbl 1078.15016
Bapat, R. B.; Catral, M.; Neumann, Michael
3
2005
Energy of a graph is never an odd integer. Zbl 1257.05082
Bapat, R. B.; Pati, Sukanta
26
2004
Resistance matrix of a weighted graph. Zbl 1052.05028
Bapat, R. B.
22
2004
Generalized inverse \(A^{(2)}_{T,S}\) and a rank equation. Zbl 1057.15008
Zheng, Bing; Bapat, R. B.
16
2004
Perturbation of eigenvalues of matrix pencils and the optimal assignment problem. Zbl 1050.15006
Akian, Marianne; Bapat, Ravindra; Gaubert, Stéphane
8
2004
Characterization of generalized inverses by a rank equation. Zbl 1054.15006
Zheng, Bing; Bapat, R. B.
4
2004
Inequalities for permanents involving Perron complements. Zbl 1080.15006
Bapat, Ravindra; Neumann, Michael
1
2004
Outer inverses: Jacobi type identities and nullities of submatrices. Zbl 1030.15004
Bapat, R. B.
3
2003
Perron eigenvector of the Tsetlin matrix. Zbl 1028.15023
Bapat, R. B.
2
2003
Generalized inverses of bordered matrices. Zbl 1021.15003
Bapat, R. B.; Zheng, Bing
2
2003
The perturbed Laplacian matrix of a graph. Zbl 0984.05056
Bapat, R. B.; Kirkland, S. J.; Pati, S.
17
2001
Edge version of the matrix tree theorem for trees. Zbl 0960.05067
Bapat, Ravindra B.; Grossman, Jerrold W.; Kulkarni, Devadatta M.
13
2000
Moore-Penrose inverse of set inclusion matrices. Zbl 0963.15004
Bapat, R. B.
7
2000
Linear algebra and linear models. 2nd ed. Zbl 0943.62060
Bapat, R. B.
6
2000
Minors of some matrices associated with a tree. Zbl 0979.05075
Bapat, R. B.; Kulkarni, Devadatta M.
3
2000
Rank preservers of matrices over max algebra. Zbl 0971.15006
Bapat, R. B.; Pati, Sukanta; Song, Seok-Zun
3
2000
Generalized matrix tree theorem for mixed graphs. Zbl 0940.05042
Bapat, Ravindra B.; Grossman, Jerrold W.; Kulkarni, Devadatta M.
37
1999
...and 68 more Documents
all top 5

Cited by 1,859 Authors

101 Bapat, Ravindra Bhalchandra
26 Li, Shuchao
20 Stanimirović, Predrag S.
16 Pati, Sukanta
16 Peperko, Aljoša
15 Fan, Yizheng
15 Kyrchei, Ivan I.
14 Sivasubramanian, Sivaramakrishnan
13 Gaubert, Stéphane
12 Barik, Sasmita
12 Kalita, Debajit
11 Zhou, Bo
10 Lal, Arbind Kumar
10 Pan, Xiangfeng
10 Trevisan, Vilmar
9 Balakrishnan, Narayanaswamy
9 Goel, Shivani
9 Ma, Chunsheng
9 Pirzada, Shariefuddin
8 Akian, Marianne
8 Balaji, Ramamurthy
8 Bu, Changjiang
8 Das, Kinkar Chandra
8 Liu, Jia-bao
8 Paul, Somnath
8 Sivakumar, Koratti Chengalrayan
8 Wei, Yimin
7 Fujita, Shinya
7 Kochar, Subhash C.
7 Nath, Milan
7 Sahoo, Gopinath
7 Shoaib Sardar, Muhammad
7 Zhang, Xiaodong
6 Azimi, Ali
6 Balasubramanian, Krishnaswami
6 Carmona, Ángeles
6 Chebotarev, Pavel Yu.
6 Dratman, Ezequiel
6 Du, Zhibin
6 Elsner, Ludwig F.
6 Ganie, Hilal Ahmad
6 Grippo, Luciano Norberto
6 Hou, Yaoping
6 Huang, Qiongxiang
6 Johnson, Charles Royal
6 Karantha, Manjunatha Prasad
6 Li, Xiaohu
6 Mourad, Bassam
6 Rajesh Kannan, M.
6 Robinson, Donald W.
6 Sun, Wanting
6 Tura, Fernando Colman
6 van den Driessche, Pauline
6 Xing, Rundan
6 Zeydi Abdian, Ali
6 Zhou, Jiang
5 Atik, Fouzul
5 Bhat, Mushtaq A.
5 Bhatia, Rajendra
5 Cangul, Ismail Naci
5 de la Puente, Maria Jesus
5 Eisenbaum, Nathalie
5 Encinas, Andrés M.
5 Gong, Shicai
5 Gowda, Muddappa Seetharama
5 Hu, Taizhong
5 Jaume, Daniel A.
5 Kirkland, Stephen J.
5 Liu, Xiaoji
5 Mason, Oliver
5 Mohanty, Sumit
5 Nagar, Mukesh Kumar
5 Nandi, Raju
5 Neumann, Michael
5 Obata, Nobuaki
5 Patra, Kamal Lochan
5 Sakuma, Tadashi
5 Singh, Ranveer
5 Thome, Néstor
5 Tian, Guixian
5 Tian, Yongge
5 Wang, Yi
5 Yu, Guihai
5 Yu, Yuantian
5 Zhang, Fuzhen
5 Zheng, Bing
5 Zhou, Hui
4 Ahmad, Uzma
4 Alfaro Montúfar, Carlos Alejandro
4 Andelić, Milica
4 Baghipur, Maryam
4 Banerjee, Anirban
4 Belardo, Francesco
4 Bendito, Enrique
4 Brualdi, Richard Anthony
4 Brunetti, Maurizio
4 Cantó, Rafael
4 Chen, Jianlong
4 Cinkir, Zubeyir
4 Ćirić, Miroslav D.
...and 1,759 more Authors
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Cited in 314 Serials

333 Linear Algebra and its Applications
130 Linear and Multilinear Algebra
52 Applied Mathematics and Computation
48 Discrete Applied Mathematics
38 Discrete Mathematics
20 Statistics & Probability Letters
19 AKCE International Journal of Graphs and Combinatorics
18 Special Matrices
17 ELA. The Electronic Journal of Linear Algebra
14 Journal of Statistical Planning and Inference
11 Communications in Statistics. Theory and Methods
11 Journal of Algebra and its Applications
11 Discrete Mathematics, Algorithms and Applications
10 Indian Journal of Pure & Applied Mathematics
10 Graphs and Combinatorics
9 Stochastic Processes and their Applications
9 Positivity
8 Physica A
8 Journal of Computational and Applied Mathematics
8 Journal of Multivariate Analysis
8 Advances in Applied Mathematics
8 The Electronic Journal of Combinatorics
8 Electronic Journal of Graph Theory and Applications
7 Theoretical Computer Science
7 Journal of Mathematical Chemistry
7 Journal of Inequalities and Applications
7 Journal of Applied Mathematics and Computing
6 Journal of Statistical Physics
6 Computational and Applied Mathematics
6 Discussiones Mathematicae. Graph Theory
6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
6 Asian-European Journal of Mathematics
6 Journal of Mathematics
5 Communications in Algebra
5 Journal of Mathematical Analysis and Applications
5 Metrika
5 Annals of the Institute of Statistical Mathematics
5 Automatica
5 Czechoslovak Mathematical Journal
5 Proceedings of the American Mathematical Society
5 European Journal of Combinatorics
5 Applied Mathematics Letters
5 SIAM Journal on Matrix Analysis and Applications
5 Mathematical Programming. Series A. Series B
5 Filomat
4 Journal of Combinatorial Theory. Series A
4 The Journal of Mathematical Sociology
4 Mathematische Annalen
4 Annals of Operations Research
4 Numerical Algorithms
4 Applied Mathematical Modelling
4 Journal of Mathematical Sciences (New York)
4 Journal of Combinatorial Optimization
4 Discrete Dynamics in Nature and Society
4 Quantum Information Processing
4 Journal of Physics A: Mathematical and Theoretical
4 Transactions on Combinatorics
4 Open Mathematics
4 SIAM Journal on Applied Algebra and Geometry
3 Israel Journal of Mathematics
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3 Advances in Mathematics
3 The Annals of Probability
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3 Semigroup Forum
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3 Games and Economic Behavior
3 Aequationes Mathematicae
3 European Journal of Operational Research
3 Journal of Statistical Computation and Simulation
3 Computational Statistics and Data Analysis
3 SIAM Journal on Scientific Computing
3 Combinatorics, Probability and Computing
3 Advances in Applied Clifford Algebras
3 Discrete and Continuous Dynamical Systems
3 Mathematical Problems in Engineering
3 Abstract and Applied Analysis
3 Journal of Interdisciplinary Mathematics
3 Probability in the Engineering and Informational Sciences
3 Methodology and Computing in Applied Probability
3 Journal of Applied Mathematics
3 Operators and Matrices
3 Mathematical Geosciences
3 Advances and Applications in Discrete Mathematics
3 Journal of Spectral Theory
3 Advances in Operator Theory
3 SIAM Journal on Mathematics of Data Science
2 Computers & Mathematics with Applications
2 International Journal of Control
2 Information Processing Letters
2 Journal of Mathematical Physics
2 Physics Letters. A
2 Mathematics of Computation
2 Calcolo
2 Fuzzy Sets and Systems
2 Integral Equations and Operator Theory
2 Journal of Algebra
2 Journal of Applied Probability
2 Journal of the Korean Mathematical Society
2 Journal of Optimization Theory and Applications
...and 214 more Serials
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Cited in 57 Fields

707 Combinatorics (05-XX)
669 Linear and multilinear algebra; matrix theory (15-XX)
124 Statistics (62-XX)
98 Probability theory and stochastic processes (60-XX)
88 Numerical analysis (65-XX)
83 Operations research, mathematical programming (90-XX)
50 Operator theory (47-XX)
49 Computer science (68-XX)
45 Biology and other natural sciences (92-XX)
37 Associative rings and algebras (16-XX)
36 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
33 Information and communication theory, circuits (94-XX)
30 Convex and discrete geometry (52-XX)
26 Functional analysis (46-XX)
23 Quantum theory (81-XX)
22 Algebraic geometry (14-XX)
22 Systems theory; control (93-XX)
21 Order, lattices, ordered algebraic structures (06-XX)
20 Group theory and generalizations (20-XX)
16 Real functions (26-XX)
16 Statistical mechanics, structure of matter (82-XX)
14 Number theory (11-XX)
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13 Commutative algebra (13-XX)
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