Edit Profile (opens in new tab) Brualdi, Richard Anthony Compute Distance To: Compute Author ID: brualdi.richard-a Published as: Brualdi, Richard A.; Brualdi, R. A.; Brualdi, Richard; Brualdi, Richard Anthony; Brualdi, R. more...less External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 280 Publications since 1965, including 10 Books 18 Contributions as Editor · 1 Further Contribution Co-Authors: 120 Co-Authors with 217 Joint Publications 4,521 Co-Co-Authors all top 5 Co-Authors 77 single-authored 19 Dahl, Geir 15 Shader, Bryan L. 12 Pless, Vera S. 11 Meyer, Seth A. 10 Schroeder, Michael William 9 Kiernan, Kathleen P. 8 Csima, Judit 7 Berliner, Adam H. 6 Chavey, Keith L. 6 Deaett, Louis 6 Fritscher, Eliseu 6 Hwang, Suk-Geun 5 Liu, Bolian 5 Newman, Morris 5 Ross, Jeffrey A. 5 Solheid, Ernie S. 4 Barrett, Wayne W. 4 Gibson, Peter M. 4 Kim, Hwa Kyung 4 Li, Qiao 4 Manber, Rachel 4 Shaked-Monderer, Naomi 4 Shen, Jian 4 Tadmor, Eitan 3 Böttcher, Albrecht 3 Dinolt, George W. 3 Dym, Harry 3 Foregger, Thomas H. 3 Kaashoek, Marinus Adriaan 3 Kirkland, Stephen J. 3 Mellendorf, Stephen 3 Michael, T. S. 3 Qiao, Li 3 Ran, André C. M. 3 Ryser, Herbert John 3 Schneider, Hans 3 Shao, Jiayu 3 van den Driessche, Pauline 2 Bostelmann, Ulrike 2 Fonseca, Amélia 2 Friedland, Shmuel 2 Goldwasser, John L. 2 Hedayat, Samad 2 Hoffman, Alan J. 2 Hogben, Leslie 2 Hollingsworth, Susan 2 Jung, Hyung Chan 2 Kharaghani, Hadi 2 Khosrovshahi, Gholamreza B. 2 Ma, Shi-Mei 2 Massey, Jennifer J. Quinn 2 Mehrmann, Volker 2 Perfect, Hazel 2 Šemrl, Peter 2 Shahriari, Shahriar 2 Shanny, Robert F. 2 Zhan, Xingzhi 1 Alon, Noga M. 1 Beasley, LeRoy B. 1 Beissinger, Janet S. 1 Boros, Endre 1 Brauner, Erik O. 1 Brenner, Joël Lee 1 Cai, Ning 1 Carlson, David Hilding 1 Carmona, Ángeles 1 Chiang, Hanley 1 Cooper, Joshua N. 1 Crama, Yves 1 Cvetkovic, Dragos M. 1 Deutsch, Emeric 1 Fallat, Shaun M. 1 Fernandes, Rosário 1 Furtado, Susana 1 Gong, Shicai 1 Greenbaum, Anne 1 Hahn, Gena 1 Harary, Frank 1 Hartfiel, Darald J. 1 Hedrick, Mark Blondeau 1 Hershkowitz, Daniel 1 Horák, Peter 1 Huang, Zejun 1 Huffman, W. Cary 1 Hwang, Geum-Sug 1 Johnson, Charles Royal 1 Katz, Moshe 1 Klee, Victor LaRue 1 Kramer, Earl S. 1 Lawrence, K. Mark 1 Leef, Geoffrey M. 1 Lewin, Mordechai 1 Li, Chi-Kwong 1 Litsyn, Simon N. 1 Loebl, Martin 1 Mason, John H. 1 Mathias, Roy 1 McDougal, Kevin F. 1 Mesner, Dale Marsh 1 Miller, Zevi ...and 23 more Co-Authors all top 5 Serials 64 Linear Algebra and its Applications 22 Discrete Mathematics 19 Linear and Multilinear Algebra 13 Journal of Combinatorial Theory. Series B 12 Journal of Combinatorial Theory. Series A 8 Discrete Applied Mathematics 8 Proceedings of the American Mathematical Society 5 Journal of Graph Theory 5 SIAM Journal on Matrix Analysis and Applications 5 The Australasian Journal of Combinatorics 4 Czechoslovak Mathematical Journal 4 Graphs and Combinatorics 4 The Electronic Journal of Combinatorics 4 ELA. The Electronic Journal of Linear Algebra 4 Proceedings of the Cambridge Philosophical Society 3 American Mathematical Monthly 3 IEEE Transactions on Information Theory 3 Ars Combinatoria 3 Canadian Journal of Mathematics 3 Monatshefte für Mathematik 3 Transactions of the American Mathematical Society 3 European Journal of Combinatorics 3 Bulletin of the Institute of Combinatorics and its Applications 3 Journal of Combinatorial Theory 3 Journal of Research of the National Bureau of Standards 3 Encyclopedia of Mathematics and Its Applications 2 Canadian Mathematical Bulletin 2 Journal of the London Mathematical Society. Second Series 2 Pacific Journal of Mathematics 2 Proceedings of the London Mathematical Society. Third Series 2 The Quarterly Journal of Mathematics. Oxford Second Series 2 Advances in Applied Mathematics 2 SIAM Journal on Algebraic and Discrete Methods 2 Mathematical and Computer Modelling 2 Journal of Combinatorial Designs 2 Cambridge Tracts in Mathematics 2 Contemporary Mathematics 2 Advances in Mathematics of Communications 2 Discrete Mathematics and its Applications 1 Bulletin of the Australian Mathematical Society 1 Journal of Mathematical Analysis and Applications 1 Acta Mathematica Vietnamica 1 Archiv der Mathematik 1 The Fibonacci Quarterly 1 Journal of the Korean Mathematical Society 1 Mathematics of Operations Research 1 Mathematika 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Journal of Mathematical Research & Exposition 1 Advances in Mathematics 1 Notices of the American Mathematical Society 1 Applied Mathematics. Series B (English Edition) 1 Vietnam Journal of Mathematics 1 Mathematical Inequalities & Applications 1 Annals of Combinatorics 1 International Journal of Information & Systems Sciences 1 The IMA Volumes in Mathematics and its Applications 1 1 Annals of Functional Analysis 1 CBMS Regional Conference Series in Mathematics 1 Advanced Courses in Mathematics – CRM Barcelona 1 The Art of Discrete and Applied Mathematics all top 5 Fields 209 Combinatorics (05-XX) 142 Linear and multilinear algebra; matrix theory (15-XX) 16 Information and communication theory, circuits (94-XX) 14 General and overarching topics; collections (00-XX) 14 Order, lattices, ordered algebraic structures (06-XX) 12 History and biography (01-XX) 9 Convex and discrete geometry (52-XX) 8 Computer science (68-XX) 7 Numerical analysis (65-XX) 4 Number theory (11-XX) 3 Operator theory (47-XX) 3 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Associative rings and algebras (16-XX) 1 Manifolds and cell complexes (57-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 225 Publications have been cited 3,036 times in 2,309 Documents Cited by ▼ Year ▼ Combinatorial matrix theory. Zbl 0746.05002Brualdi, Richard A.; Ryser, Herbert J. 413 1991 Matrices of sign-solvable linear systems. Zbl 0833.15002Brualdi, Richard A.; Shader, Bryan L. 113 1995 Combinatorial matrix classes. Zbl 1106.05001Brualdi, Richard A. 83 2006 Matrices of zeros and ones with fixed row and column sum vectors. Zbl 0448.05047Brualdi, Richard A. 81 1980 Determinantal identities: Gauss, Schur, Cauchy, Sylvester, Kronecker, Jacobi, Binet, Laplace, Muir, and Cayley. Zbl 0533.15007Brualdi, Richard A.; Schneider, Hans 79 1983 The diagonal equivalence of a nonnegative matrix to a stochastic matrix. Zbl 0231.15017Brualdi, Richard A.; Parter, Seymour V.; Schneider, Hans 78 1966 On the spectral radius of (0,1)-matrices. Zbl 0563.15012Brualdi, R. A.; Hoffman, A. J. 76 1985 Convex polyhedra of doubly stochastic matrices. I: Applications of the permanent function. Zbl 0355.15013Brualdi, Richard A.; Gibson, Peter M. 76 1977 Matrices, eigenvalues, and directed graphs. Zbl 0484.15007Brualdi, Richard A. 60 1982 On the spectral radius of complementary acyclic matrices of zeros and ones. Zbl 0591.05051Brualdi, Richard A.; Solheid, Ernie S. 58 1986 Spectra of digraphs. Zbl 1221.05177Brualdi, Richard A. 56 2010 Introductory combinatorics. 3rd ed. Zbl 0915.05001Brualdi, Richard A. 55 1999 Combinatorial matrix theory. Reprint of the 1991 hardback ed. Zbl 1286.05001Brualdi, Richard A.; Ryser, Herbert J. 55 2014 Incidence and strong edge colorings of graphs. Zbl 0790.05026Brualdi, Richard A.; Massey, Jennifer J. Quinn 54 1993 Introductory combinatorics. 2nd ed. Zbl 0734.05001Brualdi, Richard A. 53 1992 On the spectral radius of connected graphs. Zbl 0603.05028Brualdi, Richard A.; Solheid, Ernie S. 51 1986 Comments on bases in dependence structures. Zbl 0172.30703Brualdi, R. A. 50 1969 Introductory combinatorics. Zbl 0385.05001Brualdi, Richard A. 49 1977 Handbook of linear algebra. Zbl 1122.15001 41 2007 Convex sets of nonnegative matrices. Zbl 0155.06501Brualdi, R. A. 41 1968 Generalized exponents of primitive directed graphs. Zbl 0714.05028Brualdi, Richard A.; Liu, Bolian 40 1990 Permanent of the Laplacian matrix of trees and bipartite graphs. Zbl 0533.05043Brualdi, Richard A.; Goldwasser, John L. 34 1984 Exchange systems, matchings, and transversals. Zbl 0174.29402Brualdi, R. A.; Scrimger, E. B. 34 1968 Aztec diamonds and digraphs, and Hankel determinants of Schröder numbers. Zbl 1066.05009Brualdi, Richard A.; Kirkland, Stephen 33 2005 Codes with a poset metric. Zbl 0854.94019Brualdi, Richard A.; Graves, Janine Smolin; Lawrence, K. Mark 30 1995 Convex polyhedra of doubly stochastic matrices. II: Graph of Omega sub(n). Zbl 0351.05130Brualdi, Richard A.; Gibson, Peter M. 29 1977 An interesting face of the polytope of doubly stochastic matrices. Zbl 0564.15010Brualdi, Richard A. 27 1985 Convex polyhedra of doubly stochastic matrices III. Affine and combinatorial properties of \(\Omega\). Zbl 0368.15010Brualdi, Richard A.; Gibson, Peter M. 25 1977 Some applications of doubly stochastic matrices. Zbl 0657.15016Brualdi, Richard A. 24 1988 Multicolored trees in complete graphs. Zbl 0861.05020Brualdi, Richard A.; Hollingsworth, Susan 23 1996 Weight enumerators of self-dual codes. Zbl 0733.94018Brualdi, Richard A.; Pless, Vera S. 22 1991 Sum list coloring graphs. Zbl 1098.05027Berliner, Adam; Bostelmann, Ulrike; Brualdi, Richard A.; Deaett, Louis 21 2006 A combinatorial approach to matrix theory and its applications. Zbl 1155.15003Brualdi, Richard A.; Cvetković, Dragoš 20 2009 More on the Bruhat order for (0, 1)-matrices. Zbl 1161.05018Brualdi, Richard A.; Deaett, Louis 20 2007 Permanent of the direct product of matrices. Zbl 0142.26903Brualdi, Richard A. 20 1966 On the exponent of a primitive, nearly reducible matrix. Zbl 0436.05023Brualdi, Richard A.; Ross, Jeffrey A. 19 1980 On sign-nonsingular matrices and the conversion of the permanent into the determinant. Zbl 0742.15001Brualdi, Richard A.; Shader, Bryan L. 19 1991 A Bruhat order for the class of \((0,1)\)-matrices with row sum vector \(R\) and column sum vector \(S\). Zbl 1088.05019Brualdi, Richard A.; Hwang, Suk-Geun 17 2005 Patterns of alternating sign matrices. Zbl 1281.15034Brualdi, Richard A.; Kiernan, Kathleen P.; Meyer, Seth A.; Schroeder, Michael W. 17 2013 The doubly stochastic matrices of a vector majorization. Zbl 0558.15008Brualdi, Richard A. 15 1984 Combinatorial verification of the elementary divisors of tensor products. Zbl 0595.15023Brualdi, Richard A. 15 1985 Convex polyhedra of doubly stochastic matrices. IV. Zbl 0351.15014Brualdi, Richard A.; Gibson, Peter M. 15 1976 The DAD theorem for arbitrary row sums. Zbl 0303.15008Brualdi, Richard A. 15 1974 Extremal plane stochastic matrices of dimension three. Zbl 0312.15010Brualdi, R. A.; Csima, J. 15 1975 Combinatorial orthogonality. Zbl 0789.15027Beasley, LeRoy B.; Brualdi, Richard A.; Shader, Bryan L. 15 1993 Bigraphs versus digraphs via matrices. Zbl 0401.05059Brualdi, Richard A.; Harary, Frank; Miller, Zevi 14 1980 An introduction to algebraic codes. Zbl 0919.94049Pless, Vera S.; Huffman, W. Cary; Brualdi, Richard A. 14 1998 Algorithms for constructing \((0,1)\)-matrices with prescribed row and column sum vectors. Zbl 1110.05102Brualdi, Richard A. 14 2006 Combinatorial batch codes and transversal matroids. Zbl 1290.05048Brualdi, Richard A.; Kiernan, Kathleen P.; Meyer, Seth A.; Schroeder, Michael W. 14 2010 Regions in the complex plane containing the eigenvalues of a matrix. Zbl 0838.15010Brualdi, Richard A.; Mellendorf, Stephen 13 1994 Singular, nonsingular, and bounded rank completions of ACI-matrices. Zbl 1205.15042Brualdi, Richard A.; Huang, Zejun; Zhan, Xingzhi 13 2010 The principal rank characteristic sequence of a real symmetric matrix. Zbl 1236.15015Brualdi, R. A.; Deaett, L.; Olesky, D. D.; van den Driessche, P. 13 2012 Notes on the Birkhoff algorithm for doubly stochastic matrices. Zbl 0484.15018Brualdi, Richard A. 12 1982 Alternating sign matrices and their Bruhat order. Zbl 1366.15024Brualdi, Richard A.; Schroeder, Michael W. 12 2017 A unified treatment of nearly reducible and nearly decomposable matrices. Zbl 0403.15008Brualdi, Richard A.; Hedrick, Mark B. 11 1979 On Ryser’s maximum term rank formula. Zbl 0426.05014Brualdi, Richard A.; Ross, Jeffrey A. 11 1980 Characterizations of transversal matroids and their presentations. Zbl 0219.05012Brualdi, R. A.; Dinolt, G. W. 11 1972 The Jordan canonical form: an old proof. Zbl 0623.15004Brualdi, Richard A. 10 1987 Generalized transitive tournaments and doubly stochastic matrices. Zbl 0755.15011Brualdi, Richard A.; Hwang, Geum-Sug 10 1992 Linear spaces of Toeplitz and nilpotent matrices. Zbl 0772.05019Brualdi, Richard A.; Chavey, Keith L. 10 1993 Maximum permanents of matrices of zeros and ones. Zbl 0647.15002Brualdi, Richard A.; Goldwasser, John L.; Michael, T. S. 10 1988 The interchange graph of tournaments with the same score vector. Zbl 0553.05039Brualdi, Richard A.; Li, Qiao 10 1984 On fundamental transversal matroids. Zbl 0294.05018Brualdi, R. A. 10 1974 Rectangular \(L\)-matrices. Zbl 0789.15026Brualdi, Richard A.; Chavey, Keith L.; Shader, Bryan L. 10 1994 Sign-central matrices. Zbl 0818.15017Ando, T.; Brualdi, Richard A. 10 1994 Covering radius. Zbl 0922.94020Brualdi, Richard A.; Litsyn, Simon; Pless, Vera S. 10 1998 Symmetric, Hankel-symmetric, and centrosymmetric doubly stochastic matrices. Zbl 1400.15036Brualdi, Richard A.; Cao, Lei 10 2018 A note on multipliers of difference sets. Zbl 0132.25302Brualdi, R. A. 10 1965 Eigenschaften der Permanentefunktion. Zbl 0153.05003Brenner, J. L.; Brualdi, R. A. 10 1967 Hamiltonian line graphs. Zbl 0437.05041Brualdi, Richard A.; Shanny, Robert F. 9 1981 Short codes with a given covering radius. Zbl 0671.94015Brualdi, Richard A.; Pless, Vera S.; Wilson, Richard M. 9 1989 On the minimum rank of regular classes of matrices of zeros and ones. Zbl 0583.05019Brualdi, Richard A.; Manber, Rachel; Ross, Jeffrey A. 9 1986 Greedy codes. Zbl 0778.94006Brualdi, Richard A.; Pless, Vera S. 9 1993 Proof of a permanental inequality. Zbl 0168.02802Brualdi, R. A.; Newman, M. 9 1966 Matrices of 0’s and 1’s with total support. Zbl 0475.05018Brualdi, Richard A. 8 1980 An enumeration problem for a congruence equation. Zbl 0201.04704Brualdi, Richard A.; Newman, Morris 8 1970 Polyadic codes. Zbl 0677.94013Brualdi, Richard A.; Pless, Vera S. 8 1989 Bipartite graphs and inverse sign patterns of strong sign-nonsingular matrices. Zbl 0807.05053Brualdi, Richard A.; Chavey, Keith L.; Shader, Bryan L. 8 1994 Generalized exponents of primitive symmetric digraphs. Zbl 0871.05027Brualdi, Richard A.; Shao, Jia-yu 8 1997 On the Bruhat order of labeled graphs. Zbl 1407.05201Brualdi, Richard A.; Fernandes, Rosário; Furtado, Susana 8 2019 Multicolored forests in complete bipartite graphs. Zbl 0988.05038Brualdi, Richard A.; Hollingsworth, Susan 8 2001 Permanent of the product of doubly stochastic matrices. Zbl 0148.01702Brualdi, R. A. 8 1966 Alternating sign matrices, extensions and related cones. Zbl 1358.15023Brualdi, Richard A.; Dahl, Geir 7 2017 Multicolored forests in bipartite decompositions of graphs. Zbl 0763.05075Alon, Noga; Brualdi, Richard A.; Shader, Bryan L. 7 1991 Transversal matroids. Zbl 0631.05014Brualdi, Richard A. 7 1987 Convex polytopes of permutation invariant doubly stochastic matrices. Zbl 0375.05010Brualdi, Richard A. 7 1977 Induced matroids. Zbl 0219.05061Brualdi, R. A. 7 1971 Strong transfinite version of König’s duality theorem. Zbl 0219.05070Brualdi, R. A. 7 1971 Stochastic patterns. Zbl 0304.05011Brualdi, R. A.; Csima, J. 7 1975 The sparse basis problem and multilinear algebra. Zbl 0824.15003Brualdi, Richard A.; Friedland, Shmuel; Pothen, Alex 7 1995 Inequalities for permanents and permanental minors. Zbl 0139.02604Brualdi, R. A.; Newman, M. 7 1965 Symmetric Hamilton cycle decompositions of complete graphs minus a 1-factor. Zbl 1205.05175Brualdi, Richard A.; Schroeder, Michael W. 6 2011 On the MacWilliams identities for linear codes. Zbl 0649.94014Brualdi, Richard A.; Pless, Vera S.; Beissinger, Janet S. 6 1988 Combinatorially determined elementary divisors. Zbl 0662.05046Brualdi, Richard A. 6 1987 Small diameter interchange graphs of classes of matrices of zeros and ones. Zbl 0505.05042Brualdi, Richard A.; Qiao, Li 6 1982 Matchings in arbitrary graphs. Zbl 0214.23003Brualdi, R. A. 6 1971 Packing boxes with harmonic bricks. Zbl 0276.05027Brualdi, Richard A.; Foregger, Thomas H. 6 1974 Minimum permanents on special faces of the polytope of doubly stochastic matrices. Zbl 0807.15003Brualdi, Richard A.; Shader, Bryan L. 6 1994 Landau’s and Rado’s theorems and partial tournaments. Zbl 1159.05014Brualdi, Richard A.; Kiernan, Kathleen 6 2009 Disjoint cycles in Eulerian digraphs and the diameter of interchange graphs. Zbl 1027.05056Brualdi, Richard A.; Shen, Jian 6 2002 Sign-restricted matrices of 0’s, 1’s, and \(-1\)’s. Zbl 1459.05013Brualdi, Richard A.; Dahl, Geir 1 2021 Pattern-avoiding \(( 0 , 1 )\)-matrices and bases of permutation matrices. Zbl 1473.05039Brualdi, Richard A.; Cao, Lei 1 2021 On the Bruhat order of labeled graphs. Zbl 1407.05201Brualdi, Richard A.; Fernandes, Rosário; Furtado, Susana 8 2019 Alternating sign matrices, related (0,1)-matrices, and the Smith normal form. Zbl 1411.05044Brualdi, Richard A.; Dahl, Geir 2 2019 The Gale-Ryser theorem modulo \(k\). Zbl 1411.05045Brualdi, Richard A.; Meyer, Seth A. 1 2019 Symmetric, Hankel-symmetric, and centrosymmetric doubly stochastic matrices. Zbl 1400.15036Brualdi, Richard A.; Cao, Lei 10 2018 Combinatorial properties of integer matrices and integer matrices \(\mathrm{mod}\, k\). Zbl 1387.05030Brualdi, Richard A.; Meyer, Seth A. 4 2018 Alternating sign matrices and hypermatrices, and a generalization of Latin squares. Zbl 1379.05020Brualdi, Richard A.; Dahl, Geir 3 2018 Alternating sign matrices and their Bruhat order. Zbl 1366.15024Brualdi, Richard A.; Schroeder, Michael W. 12 2017 Alternating sign matrices, extensions and related cones. Zbl 1358.15023Brualdi, Richard A.; Dahl, Geir 7 2017 Centrosymmetric, and symmetric and Hankel-symmetric matrices. Zbl 1441.05034Brualdi, Richard A.; Ma, Shi-Mei 2 2017 Doubly stochastic matrices and the Bruhat order. Zbl 1424.05035Brualdi, Richard A.; Dahl, Geir; Fritscher, Eliseu 5 2016 Loopy, Hankel, and combinatorially skew-Hankel tournaments. Zbl 1319.05059Brualdi, Richard A.; Fritscher, Eliseu 5 2015 Completions of alternating sign matrices. Zbl 1321.15047Brualdi, Richard A.; Kim, Hwa Kyung 5 2015 A Gale-Berlekamp permutation-switching problem. Zbl 1321.91012Brualdi, Richard A.; Meyer, Seth A. 4 2015 Tournaments associated with multigraphs and a theorem of Hakimi. Zbl 1302.05064Brualdi, Richard A.; Fritscher, Eliseu 4 2015 A generalization of alternating sign matrices. Zbl 1320.05018Brualdi, Richard A.; Kim, Hwa K. 3 2015 Strict sign-central matrices. Zbl 1327.05045Brualdi, Richard A.; Dahl, Geir 3 2015 Enumeration of involutions by descents and symmetric matrices. Zbl 1301.05019Brualdi, Richard A.; Ma, Shi-Mei 1 2015 Combinatorial matrix theory. Reprint of the 1991 hardback ed. Zbl 1286.05001Brualdi, Richard A.; Ryser, Herbert J. 55 2014 Bruhat order of tournaments. Zbl 1296.05083Brualdi, Richard A.; Fritscher, Eliseu 6 2014 Symmetric alternating sign matrices. Zbl 1308.15027Brualdi, Richard A.; Kim, Hwa Kyung 4 2014 Note on the spectral radius of alternating sign matrices. Zbl 1282.15026Brualdi, Richard A.; Cooper, Joshua 4 2014 Hankel and Toeplitz X-rays of permutations. Zbl 1286.05014Brualdi, Richard A.; Fritscher, Eliseu 2 2014 Patterns of alternating sign matrices. Zbl 1281.15034Brualdi, Richard A.; Kiernan, Kathleen P.; Meyer, Seth A.; Schroeder, Michael W. 17 2013 Majorization for partially ordered sets. Zbl 1283.15112Brualdi, Richard A.; Dahl, Geir 3 2013 An extension of the polytope of doubly stochastic matrices. Zbl 1269.15034Brualdi, Richard A.; Dahl, Geir 3 2013 Preface. Zbl 1298.00102 1 2013 The principal rank characteristic sequence of a real symmetric matrix. Zbl 1236.15015Brualdi, R. A.; Deaett, L.; Olesky, D. D.; van den Driessche, P. 13 2012 Majorization classes of integral matrices. Zbl 1236.15059Brualdi, Richard A.; Dahl, Geir 5 2012 Cyclic matching sequencibility of graphs. Zbl 1256.05195Brualdi, Richard A.; Kiernan, Kathleen P; Meyer, Seth A.; Schroeder, Michael W. 4 2012 On the \(t\)-term rank of a matrix. Zbl 1243.05053Brualdi, Richard A.; Kiernan, Kathleen P.; Meyer, Seth A.; Schroeder, Michael W. 4 2012 Adjacent \(q\)-cycles in permutations. Zbl 1256.05003Brualdi, Richard A.; Deutsch, Emeric 2 2012 Symmetric Hamilton cycle decompositions of complete graphs minus a 1-factor. Zbl 1205.05175Brualdi, Richard A.; Schroeder, Michael W. 6 2011 The mutually beneficial relationship of graphs and matrices. Zbl 1218.05002Brualdi, Richard A. 6 2011 Spectra of digraphs. Zbl 1221.05177Brualdi, Richard A. 56 2010 Combinatorial batch codes and transversal matroids. Zbl 1290.05048Brualdi, Richard A.; Kiernan, Kathleen P.; Meyer, Seth A.; Schroeder, Michael W. 14 2010 Singular, nonsingular, and bounded rank completions of ACI-matrices. Zbl 1205.15042Brualdi, Richard A.; Huang, Zejun; Zhan, Xingzhi 13 2010 Totally nonnegative (0,1)-matrices. Zbl 1217.05134Brualdi, Richard A.; Kirkland, Steve 3 2010 Signed domination of graphs and \((0,1)\)-matrices. Zbl 1232.05157Berliner, Adam H.; Brualdi, Richard A.; Deaett, Louis; Kiernan, Kathleen P.; Meyer, Seth A.; Schroeder, Michael W. 1 2010 Erratum. Zbl 1233.05071Brualdi, Richard A.; Kiernan, Kathleen P.; Meyer, Seth A.; Schroeder, Michael W. 1 2010 A combinatorial approach to matrix theory and its applications. Zbl 1155.15003Brualdi, Richard A.; Cvetković, Dragoš 20 2009 Landau’s and Rado’s theorems and partial tournaments. Zbl 1159.05014Brualdi, Richard A.; Kiernan, Kathleen 6 2009 Matrices of sign-solvable linear systems. Reprint of the 1995 hardback ed. Zbl 1165.15003Brualdi, Richard A.; Shader, Bryan L. 5 2009 A combinatorial proof of the Dodgson/Muir determinantal identity. Zbl 1161.05001Berliner, Adam; Brualdi, Richard A. 4 2008 Geršgorin variations. III: On a theme of Brualdi and Varga. Zbl 1134.15006Boros, Endre; Brualdi, Richard A.; Crama, Yves; Hoffman, A. J. 2 2008 Isolated sets of diagonals, diagonal hypergraphs, and simplices of doubly stochastic matrices. Zbl 1146.05012Brualdi, Richard A.; Shao, Jia-Yu 1 2008 An extremal sparsity property of the Jordan canonical form. Zbl 1156.15003Brualdi, Richard A.; Pei, Pei; Zhan, Xingzhi 1 2008 Row and column orthogonal (0,1)-matrices. Zbl 1148.05045Berliner, Adam; Brualdi, Richard A.; Deaett, Louis; Kiernan, Kathleen P.; Schroeder, Michael 1 2008 Handbook of linear algebra. Zbl 1122.15001 41 2007 More on the Bruhat order for (0, 1)-matrices. Zbl 1161.05018Brualdi, Richard A.; Deaett, Louis 20 2007 Constructing \((0,1)\)-matrices with given line sums and certain fixed zeros. Zbl 1131.65037Brualdi, R. A.; Dahl, G. 5 2007 Ordering classes of matrices of 0’s and 1’s. Zbl 1129.05009Brualdi, Richard A. 1 2007 Combinatorial matrix classes. Zbl 1106.05001Brualdi, Richard A. 83 2006 Sum list coloring graphs. Zbl 1098.05027Berliner, Adam; Bostelmann, Ulrike; Brualdi, Richard A.; Deaett, Louis 21 2006 Algorithms for constructing \((0,1)\)-matrices with prescribed row and column sum vectors. Zbl 1110.05102Brualdi, Richard A. 14 2006 The Bruhat shadow of a permutation matrix. Zbl 1178.05023Brualdi, Richard A.; Dahl, Geir 4 2006 Aztec diamonds and digraphs, and Hankel determinants of Schröder numbers. Zbl 1066.05009Brualdi, Richard A.; Kirkland, Stephen 33 2005 A Bruhat order for the class of \((0,1)\)-matrices with row sum vector \(R\) and column sum vector \(S\). Zbl 1088.05019Brualdi, Richard A.; Hwang, Suk-Geun 17 2005 Matrices of zeros and ones with given line sums and a zero block. Zbl 1179.15028Dahl, Geir; Brualdi, Richard A. 3 2005 Matrices of zeros and ones with given line sums and a zero block. Zbl 1019.05018Brualdi, Richard A.; Dahl, Geir 5 2003 Majorization-constrained doubly stochastic matrices. Zbl 1020.15023Brualdi, Richard A.; Dahl, Geir 4 2003 Disjoint cycles in Eulerian digraphs and the diameter of interchange graphs. Zbl 1027.05056Brualdi, Richard A.; Shen, Jian 6 2002 Minimal nonnegative integral matrices and uniquely determined (0,1)-matrices. Zbl 0997.15012Brualdi, Richard A. 2 2002 Maximal nests of subspaces, the matrix Bruhat decomposition, and the marriage theorem—with an application to graph coloring. Zbl 1019.05019Brualdi, Richard A. 1 2002 Multicolored forests in complete bipartite graphs. Zbl 0988.05038Brualdi, Richard A.; Hollingsworth, Susan 8 2001 Landau’s inequalities for tournament scores and a short proof of a theorem on transitive sub-tournaments. Zbl 0996.05064Brualdi, Richard A.; Shen, Jian 6 2001 Diameter of the NEPS of bipartite graphs. Zbl 0966.05025Brualdi, Richard A.; Shen, Jian 2 2001 Short proofs of the Gale & Ryser and Ford & Fulkerson characterizations of the row and column sum vectors of (0, 1)-matrices. Zbl 0979.15014Brualdi, Richard A. 1 2001 Introductory combinatorics. 3rd ed. Zbl 0915.05001Brualdi, Richard A. 55 1999 Discrepancy of matrices of zeros ond ones. Zbl 0918.05029Brualdi, Richard A.; Shen, Jian 2 1999 An introduction to algebraic codes. Zbl 0919.94049Pless, Vera S.; Huffman, W. Cary; Brualdi, Richard A. 14 1998 Covering radius. Zbl 0922.94020Brualdi, Richard A.; Litsyn, Simon; Pless, Vera S. 10 1998 Generalized exponents of primitive symmetric digraphs. Zbl 0871.05027Brualdi, Richard A.; Shao, Jia-yu 8 1997 Vector majorization via positive definite matrices. Zbl 0874.15019Brualdi, Richard A.; Hwang, Suk-Geun; Pyo, Sung-Soo 4 1997 A retract characterization of posets with the fixed-point property. Zbl 0872.06002Brualdi, Richard A.; Dias da Silva, J. A. 1 1997 The minimal presentations of a bicircular matroid. Zbl 0938.05023Brualdi, Richard A.; Neudauer, Nancy Ann 1 1997 Multicolored trees in complete graphs. Zbl 0861.05020Brualdi, Richard A.; Hollingsworth, Susan 23 1996 On the spectral radius of \((0,1)\)-matrices with \(1\)’s in prescribed positions. Zbl 0858.15003Brualdi, Richard A.; Hwang, Suk-Geun 3 1996 Vector majorization via Hessenberg matrices. Zbl 0854.15008Brualdi, Richard A.; Hwang, Suk-Geun 3 1996 Matrices of sign-solvable linear systems. Zbl 0833.15002Brualdi, Richard A.; Shader, Bryan L. 113 1995 Codes with a poset metric. Zbl 0854.94019Brualdi, Richard A.; Graves, Janine Smolin; Lawrence, K. Mark 30 1995 The sparse basis problem and multilinear algebra. Zbl 0824.15003Brualdi, Richard A.; Friedland, Shmuel; Pothen, Alex 7 1995 On a matrix partition conjecture. Zbl 0824.05012Brualdi, Richard A.; Hahn, Geňa; Horák, Peter; Kramer, E. S.; Mellendorf, Stephen; Mesner, Dale M. 1 1995 Regions in the complex plane containing the eigenvalues of a matrix. Zbl 0838.15010Brualdi, Richard A.; Mellendorf, Stephen 13 1994 Rectangular \(L\)-matrices. Zbl 0789.15026Brualdi, Richard A.; Chavey, Keith L.; Shader, Bryan L. 10 1994 Sign-central matrices. Zbl 0818.15017Ando, T.; Brualdi, Richard A. 10 1994 Bipartite graphs and inverse sign patterns of strong sign-nonsingular matrices. Zbl 0807.05053Brualdi, Richard A.; Chavey, Keith L.; Shader, Bryan L. 8 1994 Minimum permanents on special faces of the polytope of doubly stochastic matrices. Zbl 0807.15003Brualdi, Richard A.; Shader, Bryan L. 6 1994 On the poset of all posets on \(n\) elements. Zbl 0799.06003Brualdi, Richard A.; Jung, Hyung Chan; Trotter, William T. jun. 5 1994 Strong Hall matrices. Zbl 0808.05070Brualdi, Richard A.; Shader, Bryan L. 3 1994 Partial Ferrers matrices. Zbl 0821.05007Brualdi, Richard A.; Li, Qiao 1 1994 Incidence and strong edge colorings of graphs. Zbl 0790.05026Brualdi, Richard A.; Massey, Jennifer J. Quinn 54 1993 Combinatorial orthogonality. Zbl 0789.15027Beasley, LeRoy B.; Brualdi, Richard A.; Shader, Bryan L. 15 1993 Linear spaces of Toeplitz and nilpotent matrices. Zbl 0772.05019Brualdi, Richard A.; Chavey, Keith L. 10 1993 Greedy codes. Zbl 0778.94006Brualdi, Richard A.; Pless, Vera S. 9 1993 Conditional sign-solvability. Zbl 0768.90051Brualdi, Richard A.; Chavey, Keith L.; Shader, Bryan L. 4 1993 More on structure-ranks of matrices. Zbl 0769.15001Brualdi, Richard A.; Massey, Jennifer J. Q. 2 1993 Cutsets in bipartite graphs. Zbl 0794.05100Brualdi, Richard A.; Shader, Bryan L. 1 1993 Introductory combinatorics. 2nd ed. Zbl 0734.05001Brualdi, Richard A. 53 1992 ...and 125 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,663 Authors 115 Brualdi, Richard Anthony 35 Liu, Bolian 34 Dahl, Geir 31 Shao, Jiayu 27 Hwang, Suk-Geun 26 Li, Zhongshan 25 van den Driessche, Pauline 24 Shader, Bryan L. 23 Gao, Yubin 23 Hall, Frank J. 21 Beasley, LeRoy B. 21 Li, Shuchao 20 Kirkland, Stephen J. 20 Olesky, D. Dale 20 Schneider, Hans 19 Shao, Yanling 18 Guterman, Alexander Èmilevich 17 Song, Seok-Zun 16 Gibson, Peter M. 15 Shu, Jinlong 14 Fernandes, Rosário 14 Tam, Bit-Shun 14 Zhang, Xiaodong 13 da Fonseca, Carlos Martins 12 Bu, Changjiang 12 Cao, Lei 12 Cheon, Gi-Sang 12 Hu, Xingbiao 12 Johnson, Charles Royal 11 Bapat, Ravindra Bhalchandra 11 Chen, Zhi 11 da Cruz, Henrique F. 11 Friedland, Shmuel 11 Hershkowitz, Daniel 11 Huang, Ting-Zhu 11 Kim, Hwa Kyung 11 Li, Jiongsheng 11 Lin, Huiqiu 11 Shan, Haiying 11 Shen, Jian 11 You, Lihua 10 Borobia, Alberto 10 Davydov, Alexander A. 10 Fan, Yizheng 10 Feng, Lihua 10 Fiedler, Miroslav 10 Hartfiel, Darald J. 10 Simić, Slobodan K. 10 Zhan, Xingzhi 10 Zhou, Bo 9 Aharoni, Ron 9 Fallat, Shaun M. 9 Gregory, David Allan 9 Harada, Masaaki 9 Kolotilina, Lily Yu. 9 Li, Chi-Kwong 9 Pirzada, Shariefuddin 9 Quinlan, Rachel 9 Valcher, Maria Elena 9 Zhai, Mingqing 8 Chang, Xiangke 8 Gao, Wei 8 Hogben, Leslie 8 Huang, Zejun 8 Kemnitz, Arnfried 8 Marcugini, Stefano 8 Pambianco, Fernanda 8 Pokrovskiy, Alexey 8 Tsatsomeros, Michael J. 8 Zhang, Fuzhen 7 Costa, Liliana 7 Kim, Ik-Pyo 7 Liu, Weijun 7 Liu, Yue 7 Mcdonald, Judith Joanne 7 Meyer, Seth A. 7 Mühlbach, Günter W. 7 Neumann, Michael 7 Sato, Iwao 7 Zhou, Jiang 7 Ziv, Ran 6 Catral, Minerva 6 Csima, Judit 6 Das, Kinkar Chandra 6 de Camargo, André Pierro 6 Dolinar, Gregor 6 Fritscher, Eliseu 6 Geng, Xianya 6 Huang, Yufei 6 Jing, Guangming 6 Kim, Byeong Moon 6 Kim, Hyunkwang 6 Kim, Suh-Ryung 6 Kuzma, Bojan 6 Li, Chaoqian 6 Liu, Muhuo 6 Marangio, Massimiliano 6 Merris, Russell 6 Miao, Zhengke 6 Petković, Marko D. ...and 2,563 more Authors all top 5 Cited in 319 Serials 751 Linear Algebra and its Applications 200 Discrete Mathematics 115 Linear and Multilinear Algebra 82 Discrete Applied Mathematics 45 Journal of Combinatorial Theory. Series A 45 Journal of Combinatorial Theory. Series B 36 Graphs and Combinatorics 30 European Journal of Combinatorics 30 Designs, Codes and Cryptography 28 The Electronic Journal of Combinatorics 24 Theoretical Computer Science 21 Czechoslovak Mathematical Journal 18 Proceedings of the American Mathematical Society 17 Finite Fields and their Applications 17 ELA. The Electronic Journal of Linear Algebra 16 Special Matrices 15 Automatica 15 Advances in Applied Mathematics 15 Journal of Mathematical Sciences (New York) 14 Journal of Mathematical Analysis and Applications 14 Applied Mathematics and Computation 13 Transactions of the American Mathematical Society 13 Acta Mathematicae Applicatae Sinica. English Series 12 Journal of Algebra 12 The Australasian Journal of Combinatorics 11 Advances in Mathematics 11 Discussiones Mathematicae. Graph Theory 10 Computers & Mathematics with Applications 10 Journal of Computational and Applied Mathematics 10 Journal of Graph Theory 10 SIAM Journal on Algebraic and Discrete Methods 9 Information Sciences 9 Journal of Pure and Applied Algebra 9 European Journal of Operational Research 8 Mathematical Programming. Series A. Series B 7 Information Processing Letters 7 Combinatorica 7 Applied Mathematics Letters 7 SIAM Journal on Discrete Mathematics 7 Annals of Operations Research 7 Journal of Applied Mathematics and Computing 7 Advances in Mathematics of Communications 7 Discrete Mathematics, Algorithms and Applications 6 SIAM Journal on Matrix Analysis and Applications 6 International Journal of Computer Mathematics 6 Journal of Algebraic Combinatorics 6 Applied Mathematics. Series B (English Edition) 6 Journal of Mathematical Chemistry 5 Rocky Mountain Journal of Mathematics 5 Mathematics of Operations Research 5 Monatshefte für Mathematik 5 Operations Research Letters 5 Order 5 Discrete & Computational Geometry 5 Filomat 5 Journal of Combinatorial Designs 5 Journal of Inequalities and Applications 5 Chaos 5 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 4 Bulletin of the Australian Mathematical Society 4 Journal of Mathematical Physics 4 Journal of Soviet Mathematics 4 Semigroup Forum 4 Studies in Applied Mathematics 4 Games and Economic Behavior 4 Applicable Algebra in Engineering, Communication and Computing 4 Integral Transforms and Special Functions 4 Journal of Integer Sequences 4 Acta Mathematica Sinica. English Series 4 Integers 4 Journal of Systems Science and Complexity 4 Operators and Matrices 4 Cryptography and Communications 4 Electronic Journal of Graph Theory and Applications 4 Open Mathematics 3 Communications in Algebra 3 Mathematical Notes 3 Problems of Information Transmission 3 Archiv der Mathematik 3 Fuzzy Sets and Systems 3 Journal of Computer and System Sciences 3 Journal of Functional Analysis 3 Journal of Geometry 3 Journal of Optimization Theory and Applications 3 Journal of Statistical Planning and Inference 3 Systems & Control Letters 3 Mathematical Social Sciences 3 Optimization 3 Information and Computation 3 Computers & Operations Research 3 Mathematical and Computer Modelling 3 Numerical Algorithms 3 Numerical Linear Algebra with Applications 3 Computational and Applied Mathematics 3 Journal of Combinatorial Optimization 3 Discrete Dynamics in Nature and Society 3 Journal of Applied Mathematics 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Journal of Discrete Algorithms 3 Advances in Difference Equations ...and 219 more Serials all top 5 Cited in 57 Fields 1,337 Combinatorics (05-XX) 1,031 Linear and multilinear algebra; matrix theory (15-XX) 159 Information and communication theory, circuits (94-XX) 133 Computer science (68-XX) 118 Number theory (11-XX) 117 Numerical analysis (65-XX) 111 Operations research, mathematical programming (90-XX) 83 Convex and discrete geometry (52-XX) 62 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 55 Order, lattices, ordered algebraic structures (06-XX) 55 Systems theory; control (93-XX) 51 Group theory and generalizations (20-XX) 46 Probability theory and stochastic processes (60-XX) 36 Statistics (62-XX) 33 Dynamical systems and ergodic theory (37-XX) 31 Biology and other natural sciences (92-XX) 27 Associative rings and algebras (16-XX) 23 Operator theory (47-XX) 22 Algebraic geometry (14-XX) 21 Commutative algebra (13-XX) 20 Ordinary differential equations (34-XX) 19 Geometry (51-XX) 15 Mathematical logic and foundations (03-XX) 15 Special functions (33-XX) 14 Quantum theory (81-XX) 12 Nonassociative rings and algebras (17-XX) 9 Functional analysis (46-XX) 8 Approximations and expansions (41-XX) 8 Manifolds and cell complexes (57-XX) 7 History and biography (01-XX) 7 Field theory and polynomials (12-XX) 7 Real functions (26-XX) 7 Measure and integration (28-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Functions of a complex variable (30-XX) 6 Difference and functional equations (39-XX) 6 Integral transforms, operational calculus (44-XX) 5 General and overarching topics; collections (00-XX) 5 Partial differential equations (35-XX) 5 Differential geometry (53-XX) 5 Algebraic topology (55-XX) 4 Category theory; homological algebra (18-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 General topology (54-XX) 3 Mathematics education (97-XX) 2 General algebraic systems (08-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Sequences, series, summability (40-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Fluid mechanics (76-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-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. Updates and corrections should be made in Wikidata.