Edit Profile (opens in new tab) Bapat, Ravindra Bhalchandra Co-Author Distance Author ID: bapat.ravindra-bhalchandra Published as: Bapat, R. B.; Bapat, Ravindra B.; Bapat, Ravindra; Bapat, Ravi; Bapat, R.; Bapat, Ravindra Bhalchandra; Bapat, Ravi B. more...less Further Spellings: रवींद्र भालचंद्र बापट Homepage: https://www.isid.ac.in/~rbb/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef Documents Indexed: 191 Publications since 1980, including 7 Books and 4 Additional arXiv Preprints 12 Contributions as Editor Co-Authors: 92 Co-Authors with 141 Joint Publications 3,188 Co-Co-Authors all top 5 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 all top 5 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 all top 5 Fields 131 Linear and multilinear algebra; matrix theory (15-XX) 108 Combinatorics (05-XX) 19 Statistics (62-XX) 12 General and overarching topics; collections (00-XX) 10 Operations research, mathematical programming (90-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Probability theory and stochastic processes (60-XX) 3 History and biography (01-XX) 3 Operator theory (47-XX) 3 Geometry (51-XX) 3 Numerical analysis (65-XX) 2 Field theory and polynomials (12-XX) 2 Associative rings and algebras (16-XX) 2 Manifolds and cell complexes (57-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 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. 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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 all top 5 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) 14 Partial differential equations (35-XX) 13 Commutative algebra (13-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 10 Ordinary differential equations (34-XX) 9 General topology (54-XX) 7 Field theory and polynomials (12-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Geometry (51-XX) 6 Nonassociative rings and algebras (17-XX) 5 Measure and integration (28-XX) 4 General algebraic systems (08-XX) 4 Algebraic topology (55-XX) 3 Functions of a complex variable (30-XX) 3 Differential geometry (53-XX) 3 Manifolds and cell complexes (57-XX) 2 History and biography (01-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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