Edit Profile (opens in new tab) Brown, Jason Ira Co-Author Distance Author ID: brown.jason-i Published as: Brown, Jason I.; Brown, J. I.; Brown, Jason more...less External Links: MGP Documents Indexed: 117 Publications since 1987, including 3 Books and 5 Additional arXiv Preprints Co-Authors: 52 Co-Authors with 98 Joint Publications 2,040 Co-Co-Authors all top 5 Co-Authors 10 single-authored 13 Nowakowski, Richard Joseph 10 Colbourn, Charles J. 8 Cox, Danielle 7 Erey, Aysel 7 Hickman, Carl A. 7 Hoshino, Richard 6 Corneil, Derek Gordon 6 Dilcher, Karl 6 Mól, Lucas A. S. 5 Beaton, Iain 5 Cameron, Ben 4 DeGagné, Corey D. C. 4 Manna, Dante V. 4 Wagner, David Gustav 4 Watson, William Stephen 3 Lakshmibai, Venkatramani 3 Oellermann, Ortrud R. 3 Rodl, Vojtech 2 Bonato, Anthony 2 Li, Xiaohu 2 Prałat, Paweł 1 Achlioptas, Dimitris 1 Alikhani, Saeid 1 Barton, Caroline 1 Beaton, Ian 1 Benadé, Gerhard 1 Blundell, M. 1 Brister, R. 1 Broere, Izak 1 Danzmann, Karsten 1 Devitt, John S. 1 Dligatch, S. 1 Ehrenborg, Richard 1 Farrant, D. I. 1 Fiechter, Jerome 1 Fleddermann, R. 1 Gilles, F. 1 Godsil, Christopher David 1 Graves, Christina M. 1 Green, K. L. 1 Heinzel, Gerhard 1 Herding, M. 1 Hoefel, Andrew H. 1 Jahari, Somayeh 1 Kemkes, Graeme 1 Klipstein, B. 1 Knight, Erick 1 Le Pourhiet, L. 1 Leeds, William B. 1 Li, Jian 1 Mahjoub, Ali Ridha 1 Mallory, Devlin 1 McClelland, David E. 1 McKay, Neil Anderson 1 McMullin, Isaac 1 Milley, Rebecca 1 Milliff, Ralph F. 1 Mitsche, Dieter 1 Molloy, Michael S. O. 1 Nicklaus, K. 1 Otto, Peter Tak-Hun 1 Pike, David A. 1 Price, Christopher John 1 Rall, Douglas F. 1 Raz, Abigail 1 Robertson, B. L. 1 Sagan, Bruce Eli 1 Schönheim, Johanan 1 Seckold, J. A. 1 Shaddock, Daniel A. 1 Sheard, B. S. 1 Sidorenko, Alexander 1 Siegel, Angela A. 1 Sokal, Alan D. 1 Tamon, Christino 1 Thomas, Hugh Ross 1 Tufts, Julia 1 Ward, Robert L. 1 Wickramarachchi, Darshana Chitraka 1 Wikle, Christopher K. 1 Wolfe, David 1 Woodrow, Robert E. 1 Wuchenich, D. M. 1 Zverovich, Igor’ Èdmundovich all top 5 Serials 24 Discrete Mathematics 11 Networks 8 Ars Combinatoria 7 Journal of Graph Theory 7 Graphs and Combinatorics 6 Journal of Combinatorial Theory. Series B 5 Discrete Applied Mathematics 5 SIAM Journal on Discrete Mathematics 4 The Australasian Journal of Combinatorics 3 European Journal of Combinatorics 3 Journal of Algebraic Combinatorics 2 Quaestiones Mathematicae 2 Order 1 Classical and Quantum Gravity 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Mathematical Analysis and Applications 1 Mathematics Magazine 1 The Fibonacci Quarterly 1 Journal of Algebra 1 Michigan Mathematical Journal 1 Advances in Applied Mathematics 1 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Computational Statistics and Data Analysis 1 Filomat 1 The Electronic Journal of Combinatorics 1 Annals of Combinatorics 1 Analysis (München) 1 Discrete Optimization 1 Contributions to Discrete Mathematics 1 Journal of Combinatorics 1 Discrete Mathematics and its Applications 1 Environmetrics all top 5 Fields 97 Combinatorics (05-XX) 10 Operations research, mathematical programming (90-XX) 7 Computer science (68-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 5 General topology (54-XX) 3 Commutative algebra (13-XX) 3 Algebraic geometry (14-XX) 3 Convex and discrete geometry (52-XX) 3 Mathematics education (97-XX) 2 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 93 Publications have been cited 613 times in 347 Documents Cited by ▼ Year ▼ On the location of roots of independence polynomials. Zbl 1043.05087 Brown, J. I.; Hickman, C. A.; Nowakowski, R. J. 49 2004 Roots of independence polynomials of well covered graphs. Zbl 0994.05109 Brown, J. I.; Dilcher, K.; Nowakowski, R. J. 41 2000 Roots of the reliability polynomial. Zbl 0774.05046 Brown, Jason I.; Colbourn, Charles J. 34 1992 On generalized graph colorings. Zbl 0608.05035 Brown, Jason I.; Corneil, Derek G. 22 1987 The inducibility of complete bipartite graphs. Zbl 0810.05037 Brown, Jason I.; Sidorenko, Alexander 22 1994 Bounding the roots of independence polynomials. Zbl 1065.05051 Brown, J. I.; Nowakowski, R. J. 20 2001 Average independence polynomials. Zbl 1056.05105 Brown, J. I.; Nowakowski, R. J. 18 2005 On the roots of domination polynomials. Zbl 1292.05205 Brown, Jason I.; Tufts, Julia 18 2014 Well-covered circulant graphs. Zbl 1222.05208 Brown, Jason; Hoshino, Richard 16 2011 Nonexistence of optimal graphs for all terminal reliability. Zbl 1386.05188 Brown, J. I.; Cox, D. 16 2014 Independence polynomials of circulants with an application to music. Zbl 1228.05178 Brown, Jason; Hoshino, Richard 16 2009 Network transformations and bounding network reliability. Zbl 0780.90046 Brown, Jason I.; Colbourn, Charles J.; Devitt, John S. 16 1993 A scalable, matrix-free multigrid preconditioner for finite element discretizations of heterogeneous Stokes flow. Zbl 1423.76259 May, D. A.; Brown, J.; Le Pourhiet, L. 16 2015 The structure of well-covered graphs with no cycles of length 4. Zbl 1127.05068 Brown, J. I.; Nowakowski, R. J.; Zverovich, I. E. 15 2007 The neighbourhood polynomial of a graph. Zbl 1153.05031 Brown, Jason I.; Nowakowski, Richard J. 15 2008 On the chromatic roots of generalized theta graphs. Zbl 1023.05057 Brown, Jason I.; Hickman, Carl; Sokal, Alan D.; Wagner, David G. 14 2001 On chromatic roots of large subdivisions of graphs. Zbl 0995.05059 Brown, J. I.; Hickman, C. A. 13 2002 On the roots of all-terminal reliability polynomials. Zbl 1369.05115 Brown, Jason; Mol, Lucas 13 2017 On the domination polynomials of friendship graphs. Zbl 1462.05184 Alikhani, Saeid; Brown, Jason I.; Jahari, Somayeh 11 2016 The independence fractal of a graph. Zbl 1050.05090 Brown, J. I.; Hickman, C. A.; Nowakowski, R. J. 10 2003 A Ramsey type problem concerning vertex colourings. Zbl 0686.05039 Brown, Jason I.; Rödl, Vojtěch 9 1991 Chromatic polynomials and order ideals of monomials. Zbl 0957.05042 Brown, Jason I. 9 1998 Well-covered vector spaces of graphs. Zbl 1104.05052 Brown, J. I.; Nowakowski, R. J. 9 2006 On the unimodality of independence polynomials of very well-covered graphs. Zbl 1380.05149 Brown, J. I.; Cameron, B. 8 2018 The complexity of generalized graph colorings. Zbl 0879.05029 Brown, Jason I. 8 1996 New bounds for chromatic polynomials and chromatic roots. Zbl 1314.05061 Brown, Jason; Erey, Aysel 8 2015 The number of complements of a topology on \(n\) points is at least \(2^ n\) (except for some special cases). Zbl 0852.05008 Brown, Jason I.; Watson, Stephen 7 1996 On the roots of chromatic polynomials. Zbl 0915.05057 Brown, Jason I. 7 1998 On the roots of expected independence polynomials. Zbl 1269.05087 Brown, Jason I.; Dilcher, Karl; Manna, Dante V. 7 2013 On the roots of the node reliability polynomial. Zbl 1387.05116 Brown, Jason; Mol, Lucas 6 2016 On chromatic roots with negative real part. Zbl 1071.05522 Brown, Jason I.; Hickman, Carl A. 6 2002 On the log concavity of reliability and matroidal sequences. Zbl 0802.05024 Brown, Jason I.; Colbourn, Charles J. 6 1994 Singular loci of Bruhat-Hibi toric varieties. Zbl 1154.14038 Brown, J.; Lakshmibai, V. 6 2008 Singular loci of Grassmann-Hibi toric varieties. Zbl 1203.14056 Brown, J.; Lakshmibai, V. 6 2010 HHCART: an oblique decision tree. Zbl 1468.62209 Wickramarachchi, D. C.; Robertson, B. L.; Reale, M.; Price, C. J.; Brown, J. 6 2016 Uniformly optimal digraphs for strongly connected reliability. Zbl 1112.05044 Brown, J. I.; Li, Xiaohu 5 2007 The ultimate categorical independence ratio of a graph. Zbl 0848.05036 Brown, Jason I.; Nowakowski, Richard J.; Rall, Douglas 5 1996 Self complementary topologies and preorders. Zbl 0744.06001 Brown, Jason I.; Watson, Stephen 5 1991 Mutually complementary partial orders. Zbl 0771.06001 Brown, Jason I.; Watson, Stephen 5 1993 The existence of uniquely \(-G\) colourable graphs. Zbl 0885.05062 Achlioptas, D.; Brown, J. I.; Corneil, D. G.; Molloy, M. S. O. 4 1998 The strongly connected reliability of complete digraphs. Zbl 1062.05081 Brown, J. I.; Li, Xiaohu 4 2005 A construction of uniquely \(C_ 4\)-free colourable graphs. Zbl 0725.05042 Benadé, Gerhard; Broere, Izak; Brown, Jason I. 4 1990 Graph properties and hypergraph colourings. Zbl 0768.05039 Brown, Jason I.; Corneil, Derek G. 4 1991 On uniquely \(-G\;k\)-colourable graphs. Zbl 0771.05033 Brown, J. I.; Corneil, D. G. 4 1992 The average reliability of a graph. Zbl 1297.05233 Brown, J. I.; Cox, D.; Ehrenborg, R. 4 2014 Extremal restraints for graph colourings. Zbl 1321.05074 Brown, Jason I.; Erey, Aysel; Li, Jian 4 2015 Asymptotics of a sequence of sparse binomial-type polynomials. Zbl 1368.05010 Brown, Jason I.; Dilcher, Karl; Manna, Dante V. 4 2012 Non-Stanley bounds for network reliability. Zbl 0846.05046 Brown, Jason I.; Colbourn, Charles J. 3 1996 The closure of the set of roots of strongly connected reliability polynomials is the entire complex plane. Zbl 1198.05076 Brown, J. I.; Cox, D. 3 2009 Wahl’s conjecture for a minuscule \(G/P\). Zbl 1192.14036 Brown, J.; Lakshmibai, V. 3 2009 The shape of node reliability. Zbl 1383.05165 Brown, Jason I.; Mol, Lucas 3 2018 Partial order complementation graphs. Zbl 0814.06005 Brown, Jason I.; Watson, Stephen 3 1994 Perfect colourings. Zbl 0728.05022 Brown, Jason I.; Corneil, Derek G. 3 1990 Nordhaus-Gaddum inequalities for the fractional and circular chromatic numbers. Zbl 1198.05039 Brown, J. I.; Hoshino, R. 3 2009 Cohen-Macaulay rings in network reliability. Zbl 0858.05055 Brown, Jason I.; Colbourn, Charles J.; Wagner, David G. 3 1996 Series representations of theta functions in terms of a sequence of polynomials. Zbl 1281.11021 Brown, Jason I.; Dilcher, Karl; Manna, Dante V. 3 2012 Independence densities of hypergraphs. Zbl 1300.05194 Bonato, Anthony; Brown, Jason I.; Mitsche, Dieter; Prałat, Paweł 3 2014 Graphs with a minimal number of convex sets. Zbl 1306.05041 Brown, Jason; Oellermann, Ortrud R. 3 2014 Independence equivalence classes of paths and cycles. Zbl 1429.05152 Beaton, Iain; Brown, Jason I.; Cameron, Ben 3 2019 On the unimodality of domination polynomials. Zbl 1491.05142 Beaton, Iain; Brown, Jason I. 3 2022 A note on polynomial profiles of placement games. Zbl 1444.91050 Brown, Jason I.; Cox, Danielle; Hoefel, Andrew H.; Mckay, Neil; Milley, Rebecca; Nowakowski, Richard J.; Siegel, Angela A. 3 2019 On the roots of strongly connected reliability polynomials. Zbl 1207.05094 Brown, J. I.; Dilcher, K. 3 2009 On a sequence of sparse binomial-type polynomials. Zbl 1255.05100 Brown, Jason I.; Dilcher, Karl; Manna, Dante V. 3 2013 On circulants uniquely characterized by their independence polynomials. Zbl 1274.05232 Brown, Jason; Hoshino, Richard 3 2012 A set system polynomial with colouring and reliability applications. Zbl 0647.68069 Brown, Jason I.; Colbourn, Charles J. 2 1988 Independence and chromatic densities of graphs. Zbl 1252.05102 Bonato, Anthony; Brown, Jason I.; Kemkes, Graeme; Prałat, Paweł 2 2011 Subdivisions and chromatic roots. Zbl 0935.05044 Brown, Jason I. 2 1999 The well-covered dimension of random graphs. Zbl 1110.05089 Brown, J. I.; Nowakowski, R. J. 2 2007 Chip firing and all-terminal network reliability bounds. Zbl 1179.90317 Brown, Jason I.; Colbourn, Charles J.; Nowakowski, Richard J. 2 2009 Graph coloring satisfying restraints. Zbl 0696.05024 Brown, Jason I.; Kelly, David; Schönheim, J.; Woodrow, Robert E. 2 1990 A new construction of k-Folkman graphs. Zbl 0731.05020 Brown, Jason I.; Rödl, Vojtěch 2 1990 On the roots of Wiener polynomials of graphs. Zbl 1392.05057 Brown, Jason I.; Mol, Lucas; Oellermann, Ortrud R. 2 2018 Restraints permitting the largest number of colourings. Zbl 1396.05038 Brown, Jason; Erey, Aysel 2 2017 The domination equivalence classes of paths. Zbl 1411.05198 Beaton, Ian; Brown, Jason I. 2 2019 On the roots of the subtree polynomial. Zbl 1447.05111 Brown, Jason I.; Mol, Lucas 2 2020 Discrete structures and their interactions. Zbl 1277.06001 Brown, Jason I. 2 2013 On the real roots of domination polynomials. Zbl 1483.05112 Beaton, Iain; Brown, Jason I. 2 2021 The average order of dominating sets of a graph. Zbl 1512.05318 Beaton, Iain; Brown, Jason I. 2 2021 On the reliability roots of simplicial complexes and matroids. Zbl 1418.05133 Brown, J. I.; DeGagné, C. D. C. 2 2019 Folkman numbers for graphs of small order. Zbl 0840.05062 Brown, Jason I.; Rödl, Vojtěch 1 1993 Inflection points of reliability polynomials are dense in \([0,1]\). Zbl 1386.05094 Brown, Jason; Cox, Danielle 1 2016 On the stability of independence polynomials. Zbl 1391.05136 Brown, Jason I.; Cameron, Ben 1 2018 Bounding the roots of ideal and open set polynomials. Zbl 1073.05505 Brown, Jason I.; Hickman, Carl A.; Thomas, Hugh; Wagner, David G. 1 2005 Proof of a conjecture on fractional Ramsey numbers. Zbl 1216.05083 Brown, Jason; Hoshino, Richard 1 2010 The \(k\)-fractal of a simplicial complex. Zbl 1113.37030 Brown, J. I.; Hickman, C. A.; Nowakowski, R. J. 1 2004 On the spectrum and number of convex sets in graphs. Zbl 1309.05116 Brown, Jason I.; Oellermann, Ortrud R. 1 2015 Optimal domination polynomials. Zbl 1458.05116 Beaton, Iain; Brown, Jason I.; Cox, Danielle 1 2020 Acyclic polynomials of graphs. Zbl 1490.05122 Barton, Caroline; Brown, Jason I.; Pike, David A. 1 2022 Maximum modulus of independence roots of graphs and trees. Zbl 1439.05110 Brown, Jason I.; Cameron, Ben 1 2020 On the imaginary parts of chromatic roots. Zbl 1495.05086 Brown, Jason I.; Wagner, David G. 1 2020 Our days are numbered. How mathematics orders our lives. Zbl 1286.00005 Brown, Jason I. 1 2009 A note on the real part of complex chromatic roots. Zbl 1288.05083 Brown, Jason; Erey, Aysel 1 2014 Optimal graphs for independence and \(k\)-independence polynomials. Zbl 1402.05106 Brown, J. I.; Cox, D. 1 2018 On the unimodality of domination polynomials. Zbl 1491.05142 Beaton, Iain; Brown, Jason I. 3 2022 Acyclic polynomials of graphs. Zbl 1490.05122 Barton, Caroline; Brown, Jason I.; Pike, David A. 1 2022 On the real roots of domination polynomials. Zbl 1483.05112 Beaton, Iain; Brown, Jason I. 2 2021 The average order of dominating sets of a graph. Zbl 1512.05318 Beaton, Iain; Brown, Jason I. 2 2021 On the roots of the subtree polynomial. Zbl 1447.05111 Brown, Jason I.; Mol, Lucas 2 2020 Optimal domination polynomials. Zbl 1458.05116 Beaton, Iain; Brown, Jason I.; Cox, Danielle 1 2020 Maximum modulus of independence roots of graphs and trees. Zbl 1439.05110 Brown, Jason I.; Cameron, Ben 1 2020 On the imaginary parts of chromatic roots. Zbl 1495.05086 Brown, Jason I.; Wagner, David G. 1 2020 Independence equivalence classes of paths and cycles. Zbl 1429.05152 Beaton, Iain; Brown, Jason I.; Cameron, Ben 3 2019 A note on polynomial profiles of placement games. Zbl 1444.91050 Brown, Jason I.; Cox, Danielle; Hoefel, Andrew H.; Mckay, Neil; Milley, Rebecca; Nowakowski, Richard J.; Siegel, Angela A. 3 2019 The domination equivalence classes of paths. Zbl 1411.05198 Beaton, Ian; Brown, Jason I. 2 2019 On the reliability roots of simplicial complexes and matroids. Zbl 1418.05133 Brown, J. I.; DeGagné, C. D. C. 2 2019 On the unimodality of independence polynomials of very well-covered graphs. Zbl 1380.05149 Brown, J. I.; Cameron, B. 8 2018 The shape of node reliability. Zbl 1383.05165 Brown, Jason I.; Mol, Lucas 3 2018 On the roots of Wiener polynomials of graphs. Zbl 1392.05057 Brown, Jason I.; Mol, Lucas; Oellermann, Ortrud R. 2 2018 On the stability of independence polynomials. Zbl 1391.05136 Brown, Jason I.; Cameron, Ben 1 2018 Optimal graphs for independence and \(k\)-independence polynomials. Zbl 1402.05106 Brown, J. I.; Cox, D. 1 2018 On the roots of all-terminal reliability polynomials. Zbl 1369.05115 Brown, Jason; Mol, Lucas 13 2017 Restraints permitting the largest number of colourings. Zbl 1396.05038 Brown, Jason; Erey, Aysel 2 2017 On the domination polynomials of friendship graphs. Zbl 1462.05184 Alikhani, Saeid; Brown, Jason I.; Jahari, Somayeh 11 2016 On the roots of the node reliability polynomial. Zbl 1387.05116 Brown, Jason; Mol, Lucas 6 2016 HHCART: an oblique decision tree. Zbl 1468.62209 Wickramarachchi, D. C.; Robertson, B. L.; Reale, M.; Price, C. J.; Brown, J. 6 2016 Inflection points of reliability polynomials are dense in \([0,1]\). Zbl 1386.05094 Brown, Jason; Cox, Danielle 1 2016 A scalable, matrix-free multigrid preconditioner for finite element discretizations of heterogeneous Stokes flow. Zbl 1423.76259 May, D. A.; Brown, J.; Le Pourhiet, L. 16 2015 New bounds for chromatic polynomials and chromatic roots. Zbl 1314.05061 Brown, Jason; Erey, Aysel 8 2015 Extremal restraints for graph colourings. Zbl 1321.05074 Brown, Jason I.; Erey, Aysel; Li, Jian 4 2015 On the spectrum and number of convex sets in graphs. Zbl 1309.05116 Brown, Jason I.; Oellermann, Ortrud R. 1 2015 On the roots of domination polynomials. Zbl 1292.05205 Brown, Jason I.; Tufts, Julia 18 2014 Nonexistence of optimal graphs for all terminal reliability. Zbl 1386.05188 Brown, J. I.; Cox, D. 16 2014 The average reliability of a graph. Zbl 1297.05233 Brown, J. I.; Cox, D.; Ehrenborg, R. 4 2014 Independence densities of hypergraphs. Zbl 1300.05194 Bonato, Anthony; Brown, Jason I.; Mitsche, Dieter; Prałat, Paweł 3 2014 Graphs with a minimal number of convex sets. Zbl 1306.05041 Brown, Jason; Oellermann, Ortrud R. 3 2014 A note on the real part of complex chromatic roots. Zbl 1288.05083 Brown, Jason; Erey, Aysel 1 2014 On the roots of expected independence polynomials. Zbl 1269.05087 Brown, Jason I.; Dilcher, Karl; Manna, Dante V. 7 2013 On a sequence of sparse binomial-type polynomials. Zbl 1255.05100 Brown, Jason I.; Dilcher, Karl; Manna, Dante V. 3 2013 Discrete structures and their interactions. Zbl 1277.06001 Brown, Jason I. 2 2013 Asymptotics of a sequence of sparse binomial-type polynomials. Zbl 1368.05010 Brown, Jason I.; Dilcher, Karl; Manna, Dante V. 4 2012 Series representations of theta functions in terms of a sequence of polynomials. Zbl 1281.11021 Brown, Jason I.; Dilcher, Karl; Manna, Dante V. 3 2012 On circulants uniquely characterized by their independence polynomials. Zbl 1274.05232 Brown, Jason; Hoshino, Richard 3 2012 Well-covered circulant graphs. Zbl 1222.05208 Brown, Jason; Hoshino, Richard 16 2011 Independence and chromatic densities of graphs. Zbl 1252.05102 Bonato, Anthony; Brown, Jason I.; Kemkes, Graeme; Prałat, Paweł 2 2011 Singular loci of Grassmann-Hibi toric varieties. Zbl 1203.14056 Brown, J.; Lakshmibai, V. 6 2010 Proof of a conjecture on fractional Ramsey numbers. Zbl 1216.05083 Brown, Jason; Hoshino, Richard 1 2010 Independence polynomials of circulants with an application to music. Zbl 1228.05178 Brown, Jason; Hoshino, Richard 16 2009 The closure of the set of roots of strongly connected reliability polynomials is the entire complex plane. Zbl 1198.05076 Brown, J. I.; Cox, D. 3 2009 Wahl’s conjecture for a minuscule \(G/P\). Zbl 1192.14036 Brown, J.; Lakshmibai, V. 3 2009 Nordhaus-Gaddum inequalities for the fractional and circular chromatic numbers. Zbl 1198.05039 Brown, J. I.; Hoshino, R. 3 2009 On the roots of strongly connected reliability polynomials. Zbl 1207.05094 Brown, J. I.; Dilcher, K. 3 2009 Chip firing and all-terminal network reliability bounds. Zbl 1179.90317 Brown, Jason I.; Colbourn, Charles J.; Nowakowski, Richard J. 2 2009 Our days are numbered. How mathematics orders our lives. Zbl 1286.00005 Brown, Jason I. 1 2009 The neighbourhood polynomial of a graph. Zbl 1153.05031 Brown, Jason I.; Nowakowski, Richard J. 15 2008 Singular loci of Bruhat-Hibi toric varieties. Zbl 1154.14038 Brown, J.; Lakshmibai, V. 6 2008 The structure of well-covered graphs with no cycles of length 4. Zbl 1127.05068 Brown, J. I.; Nowakowski, R. J.; Zverovich, I. E. 15 2007 Uniformly optimal digraphs for strongly connected reliability. Zbl 1112.05044 Brown, J. I.; Li, Xiaohu 5 2007 The well-covered dimension of random graphs. Zbl 1110.05089 Brown, J. I.; Nowakowski, R. J. 2 2007 Well-covered vector spaces of graphs. Zbl 1104.05052 Brown, J. I.; Nowakowski, R. J. 9 2006 Average independence polynomials. Zbl 1056.05105 Brown, J. I.; Nowakowski, R. J. 18 2005 The strongly connected reliability of complete digraphs. Zbl 1062.05081 Brown, J. I.; Li, Xiaohu 4 2005 Bounding the roots of ideal and open set polynomials. Zbl 1073.05505 Brown, Jason I.; Hickman, Carl A.; Thomas, Hugh; Wagner, David G. 1 2005 On the location of roots of independence polynomials. Zbl 1043.05087 Brown, J. I.; Hickman, C. A.; Nowakowski, R. J. 49 2004 The \(k\)-fractal of a simplicial complex. Zbl 1113.37030 Brown, J. I.; Hickman, C. A.; Nowakowski, R. J. 1 2004 The independence fractal of a graph. Zbl 1050.05090 Brown, J. I.; Hickman, C. A.; Nowakowski, R. J. 10 2003 On chromatic roots of large subdivisions of graphs. Zbl 0995.05059 Brown, J. I.; Hickman, C. A. 13 2002 On chromatic roots with negative real part. Zbl 1071.05522 Brown, Jason I.; Hickman, Carl A. 6 2002 Bounding the roots of independence polynomials. Zbl 1065.05051 Brown, J. I.; Nowakowski, R. J. 20 2001 On the chromatic roots of generalized theta graphs. Zbl 1023.05057 Brown, Jason I.; Hickman, Carl; Sokal, Alan D.; Wagner, David G. 14 2001 Roots of independence polynomials of well covered graphs. Zbl 0994.05109 Brown, J. I.; Dilcher, K.; Nowakowski, R. J. 41 2000 Subdivisions and chromatic roots. Zbl 0935.05044 Brown, Jason I. 2 1999 Chromatic polynomials and order ideals of monomials. Zbl 0957.05042 Brown, Jason I. 9 1998 On the roots of chromatic polynomials. Zbl 0915.05057 Brown, Jason I. 7 1998 The existence of uniquely \(-G\) colourable graphs. Zbl 0885.05062 Achlioptas, D.; Brown, J. I.; Corneil, D. G.; Molloy, M. S. O. 4 1998 The complexity of generalized graph colorings. Zbl 0879.05029 Brown, Jason I. 8 1996 The number of complements of a topology on \(n\) points is at least \(2^ n\) (except for some special cases). Zbl 0852.05008 Brown, Jason I.; Watson, Stephen 7 1996 The ultimate categorical independence ratio of a graph. Zbl 0848.05036 Brown, Jason I.; Nowakowski, Richard J.; Rall, Douglas 5 1996 Non-Stanley bounds for network reliability. Zbl 0846.05046 Brown, Jason I.; Colbourn, Charles J. 3 1996 Cohen-Macaulay rings in network reliability. Zbl 0858.05055 Brown, Jason I.; Colbourn, Charles J.; Wagner, David G. 3 1996 The inducibility of complete bipartite graphs. Zbl 0810.05037 Brown, Jason I.; Sidorenko, Alexander 22 1994 On the log concavity of reliability and matroidal sequences. Zbl 0802.05024 Brown, Jason I.; Colbourn, Charles J. 6 1994 Partial order complementation graphs. Zbl 0814.06005 Brown, Jason I.; Watson, Stephen 3 1994 Network transformations and bounding network reliability. Zbl 0780.90046 Brown, Jason I.; Colbourn, Charles J.; Devitt, John S. 16 1993 Mutually complementary partial orders. Zbl 0771.06001 Brown, Jason I.; Watson, Stephen 5 1993 Folkman numbers for graphs of small order. Zbl 0840.05062 Brown, Jason I.; Rödl, Vojtěch 1 1993 Roots of the reliability polynomial. Zbl 0774.05046 Brown, Jason I.; Colbourn, Charles J. 34 1992 On uniquely \(-G\;k\)-colourable graphs. Zbl 0771.05033 Brown, J. I.; Corneil, D. G. 4 1992 A Ramsey type problem concerning vertex colourings. Zbl 0686.05039 Brown, Jason I.; Rödl, Vojtěch 9 1991 Self complementary topologies and preorders. Zbl 0744.06001 Brown, Jason I.; Watson, Stephen 5 1991 Graph properties and hypergraph colourings. Zbl 0768.05039 Brown, Jason I.; Corneil, Derek G. 4 1991 A construction of uniquely \(C_ 4\)-free colourable graphs. Zbl 0725.05042 Benadé, Gerhard; Broere, Izak; Brown, Jason I. 4 1990 Perfect colourings. Zbl 0728.05022 Brown, Jason I.; Corneil, Derek G. 3 1990 Graph coloring satisfying restraints. Zbl 0696.05024 Brown, Jason I.; Kelly, David; Schönheim, J.; Woodrow, Robert E. 2 1990 A new construction of k-Folkman graphs. Zbl 0731.05020 Brown, Jason I.; Rödl, Vojtěch 2 1990 A set system polynomial with colouring and reliability applications. Zbl 0647.68069 Brown, Jason I.; Colbourn, Charles J. 2 1988 On generalized graph colorings. Zbl 0608.05035 Brown, Jason I.; Corneil, Derek G. 22 1987 all cited Publications top 5 cited Publications all top 5 Cited by 504 Authors 55 Brown, Jason Ira 15 Levit, Vadim E. 12 Alikhani, Saeid 11 Tankus, David 9 Nowakowski, Richard Joseph 8 Artes, Rosalio G. jun. 8 Erey, Aysel 7 Mandrescu, Eugen 7 Sokal, Alan D. 7 Zhu, Baoxuan 6 Cameron, Ben 6 Cox, Danielle 6 Dilcher, Karl 6 Makowsky, Johann-Andreas 6 Oboudi, Mohammad Reza 5 Dudek, Andrzej 5 Mól, Lucas A. S. 5 Oellermann, Ortrud R. 5 Zhao, Haixing 4 Beaton, Iain 4 Carballosa, Walter 4 Csikvári, Péter 4 Graves, Christina M. 4 Hickman, Carl A. 4 Jahari, Somayeh 4 Kahl, Nathan 4 Milanič, Martin 4 Richmond, Thomas A. 4 Rodl, Vojtech 4 Watson, William Stephen 3 Bogdanowicz, Zbigniew Ryszard 3 Colbourn, Charles J. 3 Corneil, Derek Gordon 3 DeGagné, Corey D. C. 3 Mohar, Bojan 3 Ravve, Elena V. 3 Sigarreta Almira, José María 3 Torres-Nuñez, Yadira 3 Van Tuyl, Adam 3 Wagner, David Gustav 3 Xie, Sun 2 Achlioptas, Dimitris 2 Akhbari, Mohammad Hadi 2 Arriesgado, Amelia L. 2 Beiu, Valeriu 2 Bergold, Helena 2 Bollobás, Béla 2 Borowiecki, Piotr 2 Chari, Manoj K. 2 Choe, Young-Bin 2 de Werra, Dominique 2 Dong, Fengming 2 Drăgoi, Vlad-Florin 2 Eballe, Rolito G. 2 Engbers, John 2 Entero, Giovannie M. 2 Fadnavis, Sukhada 2 Fox, Jacob 2 Galanis, Andreas 2 Galvin, David J. 2 Goldberg, Leslie Ann 2 Goldwasser, John L. 2 Hà, Huy Tài 2 Hansen, Ryan 2 He, Xiaoyu 2 Hefetz, Dan 2 Herrera-Poyatos, Andrés 2 Hirst, James 2 Hochstättler, Winfried 2 Hoshino, Richard 2 Hujdurović, Ademir 2 Huntemann, Svenja 2 Jamison, Robert E. 2 Jin, Xian’an 2 Klavžar, Sandi 2 Knox, Fiachra 2 Kotek, Tomer 2 Král’, Daniel 2 Li, Xueliang 2 Linial, Nathan 2 Manna, Dante V. 2 Mayer, Uwe F. 2 Merino, Criel 2 Mousivand, Amir 2 Movahedi, Fateme 2 Mudrock, Jeffrey A. 2 Ng, Boon Leong 2 Noble, Steven Derek 2 Norine, Serguei 2 Pedrano, Ariel C. 2 Pikhurko, Oleg 2 Pournaki, Mohammad Reza 2 Rakita, Vsevolod 2 Rodríguez García, José Manuel 2 Romero, Pablo 2 Sagan, Bruce Eli 2 Salas, Jesús 2 Sampathkumar, E. 2 Scott, Alexander D. 2 Shrock, Robert E. ...and 404 more Authors all top 5 Cited in 101 Serials 61 Discrete Mathematics 31 Discrete Applied Mathematics 22 Journal of Combinatorial Theory. Series B 20 Graphs and Combinatorics 17 European Journal of Combinatorics 14 Networks 12 Advances and Applications in Discrete Mathematics 9 Journal of Graph Theory 9 The Electronic Journal of Combinatorics 4 Journal of Statistical Physics 4 Theoretical Computer Science 4 Advances in Applied Mathematics 4 Order 4 The Australasian Journal of Combinatorics 4 Journal of Algebraic Combinatorics 4 Discussiones Mathematicae. Graph Theory 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Communications in Algebra 3 Information Processing Letters 3 Journal of Mathematical Analysis and Applications 3 Topology and its Applications 3 Combinatorica 3 Journal of Combinatorial Optimization 3 Discrete Optimization 3 Discrete Mathematics, Algorithms and Applications 2 Advances in Mathematics 2 Applied Mathematics and Computation 2 Czechoslovak Mathematical Journal 2 Journal of Combinatorial Theory. Series A 2 Quaestiones Mathematicae 2 Linear Algebra and its Applications 2 Filomat 2 Acta Mathematica Sinica. English Series 2 Combinatorial Theory 1 Israel Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 The Mathematical Intelligencer 1 Algebra Universalis 1 Bulletin of the London Mathematical Society 1 Information Sciences 1 International Journal of Game Theory 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Mathematica Slovaca 1 Memoirs of the American Mathematical Society 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 Annals of Pure and Applied Logic 1 Acta Mathematicae Applicatae Sinica. English Series 1 Algorithmica 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 SIAM Journal on Discrete Mathematics 1 International Journal of Algebra and Computation 1 International Journal of Foundations of Computer Science 1 European Journal of Operational Research 1 Cybernetics and Systems Analysis 1 Computational Complexity 1 Experimental Mathematics 1 Applied Mathematics. Series B (English Edition) 1 Topology Proceedings 1 Combinatorics, Probability and Computing 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 Revista Investigación Operacional 1 Journal of Mathematical Chemistry 1 Mathematical Problems in Engineering 1 Theory of Computing Systems 1 Positivity 1 Journal of Scheduling 1 Annals of Combinatorics 1 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 Journal of Discrete Mathematical Sciences & Cryptography 1 Journal of Integer Sequences 1 Annals of Mathematics. Second Series 1 Communications of the Korean Mathematical Society 1 Lobachevskii Journal of Mathematics 1 Integers 1 Journal of Applied Mathematics and Computing 1 Algebra and Discrete Mathematics 1 Journal of Discrete Algorithms 1 Analysis and Applications (Singapore) 1 AKCE International Journal of Graphs and Combinatorics 1 Contributions to Discrete Mathematics 1 Mathematics in Computer Science 1 Asian-European Journal of Mathematics 1 Acta Universitatis Sapientiae. Informatica 1 International Journal of Combinatorics 1 Probability Surveys 1 ISRN Discrete Mathematics 1 Journal of Classical Analysis 1 Carpathian Mathematical Publications 1 Discontinuity, Nonlinearity, and Complexity 1 ISRN Combinatorics 1 Electronic Journal of Graph Theory and Applications 1 AIMS Mathematics 1 Algebraic Combinatorics 1 DML. Discrete Mathematics Letters 1 Enumerative Combinatorics and Applications 1 Journal of Algebraic Systems ...and 1 more Serials all top 5 Cited in 31 Fields 310 Combinatorics (05-XX) 35 Computer science (68-XX) 27 Operations research, mathematical programming (90-XX) 17 Commutative algebra (13-XX) 14 Order, lattices, ordered algebraic structures (06-XX) 13 General topology (54-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Number theory (11-XX) 6 Convex and discrete geometry (52-XX) 5 Information and communication theory, circuits (94-XX) 4 Measure and integration (28-XX) 4 Functions of a complex variable (30-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Mathematical logic and foundations (03-XX) 3 Group theory and generalizations (20-XX) 3 Real functions (26-XX) 2 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Approximations and expansions (41-XX) 2 Manifolds and cell complexes (57-XX) 2 Probability theory and stochastic processes (60-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) 1 Quantum theory (81-XX) Citations by Year