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Submissions from 2018

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Families of graphs with maximum nullity equal to zero forcing number, Joseph S. Alameda, Emelie Curl, Armando Grez, Leslie Hogben, O'Neill Kingston, Alex Schulte, Derek Young, and Michael Young

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Zero forcing and power domination for graph products, Katherine F. Benson, Daniela Ferrero, Mary Flagg, Veronika Furst, Leslie Hogben, Violeta Vasilevska, and Brian Wissman

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Applications of analysis to the determination of the minimum number of distinct eigenvalues of a graph, Beth Bjorkman, Leslie Hogben, Scarlitte Ponce, Carolyn Reinhart, and Theodore Tranel

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3-coloring triangle-free planar graphs with a precolored 9-cycle, Ilkyoo Choi, Jan Ekstein, Premysl Holub, and Bernard Lidicky

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The relationship between k-forcing and k-power domination, Daniela Ferrero, Leslie Hogben, Franklin H.J. Kenter, and Michael Young

Submissions from 2017

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Rainbow triangles in three-colored graphs, Jozef Balogh, Ping Hu, Bernard Lidicky, Florian Pfender, Jan Volec, and Michael Young

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Generalizations of the Strong Arnold Property and the minimum number of distinct eigenvalues of a graph, Wayne Barrett, Shaun Fallat, H. Tracy Hall, Leslie Hogben, Jephian C.-H. Lin, and Bryan L. Shader

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(4, 2)-Choosability of Planar Graphs with Forbidden Structures, Zhanar Berikkyzy, Christopher Cox, Michael Dairyko, Kirsten Hogenson, Mohit Kumbhat, Bernard Lidicky, Kacy Messerschmidt, Kevin Moss, Kathleen Nowak, Kevin F. Palmowski, and Microsoft

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Zero Forcing Propagation Time on Oriented Graphs, Adam Berliner, Chassidy Bozeman, Steve Butler, Minerva Catral, Leslie Hogben, Brenda Kroschel, Jephian C.H. Lin, Nathan Warnberg, and Michael Young

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Injective choosability of subcubic planar graphs with girth 6, Boris Brimkov, Jennifer Edmond, Robert Lazar, Bernard Lidicky, Kacy Messerschmidt, and Shanise Walker

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Note on von Neumann and Rényi Entropies of a Graph, Michael Dairyko, Leslie Hogben, Jephian C.H. Lin, Joshua Lockhart, David Roberson, Simone Severini, and Michael Young

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Fine structure of 4-critical triangle-free graphs II. Planar triangle-free graphs with two precolored 4-cycles, Zdeněk Dvořák and Bernard Lidicky

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5-choosability of graphs with crossings far apart, Zdeněk Dvořák, Bernard Lidicky, and Bojan Mohar

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5-List-Coloring Planar Graphs with Distant Precolored Vertices, Zdeněk Dvořák, Bernard Lidicky, Bojan Mohar, and Luke Postle

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Orthogonal Representations, Projective Rank, and Fractional Minimum Positive Semidefinite Rank: Connections and New Directions, Leslie Hogben, Kevin F. Palmowski, David E. Roberson, and Simone Severini

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Block Stanley Deompositions II. Greedy Algorithms, Applications and Open Problems, James Murdock and Theodore Murdock

Submissions from 2016

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On the Distance Spectra of Graphs, Ghodratollah Aalipour, Aida Abiad, Zhanar Berikkyzy, Jay Cummings, Jessica De Silva, Wei Gao, Kristin Heysse, Leslie Hogben, Franklin H.J. Kenter, Jephian C.H. Lin, and Michael Tait

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Rainbow copies of C4 in edge-colored hypercubes, József Balogh, Michelle Delcourt, Bernard Lidicky, and Cory Palmer

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Maximum density of induced 5-cycle is achieved by an iterated blow-up of 5-cycle, József Balogh, Ping Hu, Bernard Lidicky, and Florian Pfender

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The Enhanced Principal Rank Characteristic Sequence, Steve Butler, Minerva Catral, Shaun M. Fallat, H. Tracy Hall, Leslie Hogben, P. van den Driessche, and Michael Young

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Rainbow Arithmetic Progressions, Steve Butler, Craig Erickson, Leslie Hogben, Kirsten Hogenson, Lucas Kramer, Richard Kramer, Jephian C. H. Lin, Ryan R. Martin, Derrick Stolee, Nathan Warnberg, and Michael Young

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On Choosability with Separation of Planar Graphs with Forbidden Cycles, Ilkyoo Choi, Bernard Lidicky, and Derrick Stolee

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On the tree search problem with non-uniform costs, Ferdinando Cicalese, Balázs Keszegh, Bernard Lidicky, Dömötör Pálvölgyid, and Tomáš Valla

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Note on Power Propagation Time and Lower Bounds for the Power Domination Number, Daniela Ferrero, Leslie Hogben, Franklin H. J. Kenter, and Michael Young

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On Crossing Numbers of Complete Tripartite and Balanced Complete Multipartite Graphs, Ellen Gethner, Leslie Hogben, Bernard Lidicky, Florian Pfender, Amanda Ruiz, and Michael Young

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Asymptotic density and the coarse computability bound, Dennis R. Hirschfeldt, Carl G. Jockusch, Timothy H. McNicholl, and Paul E. Schupp

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Fractional Zero Forcing via Three-color Forcing Games, Leslie Hogben, Kevin F. Palmowski, David E. Roberson, and Michael Young

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Carathéodory’s Theorem and moduli of local connectivity, Timothy H. McNicholl

Submissions from 2015

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Automorphism-primal algebras generate verbose varieties, Clifford Bergman

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Commutative idempotent groupoids and the constraint satisfaction problem, Clifford Bergman and David Failing

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Path cover number, maximum nullity, and zero forcing number of oriented graphs and other simple digraphs, Adam Berliner, Cora Brown, Joshua Carlson, Nathanael Cox, Leslie Hogben, Jason Hu, Katrina Jacobs, Kathryn Manternach, Travis Peters, Nathan Warnberg, and Michael Young

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Logic circuits from zero forcing, Daniel Burgarth, Vittorio Giovannetti, Leslie Hogben, Simone Severini, and Michael Young

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Asymptotic density and the Ershov hierarchy, Rod Downey, Carl G. Jockusch, Timothy H. McNicholl, and Paul E. Schupp

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3‐Coloring Triangle‐Free Planar Graphs with a Precolored 8‐Cycle, zdeněk dvořák and Bernard Lidicky

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Note on the Jordan form of an irreducible eventually nonnegative matrix, Leslie Hogben, Bit-Shun Tam, and Ulrica Wilson

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On choosability with separation of planar graphs with lists of different sizes, H. A. Kierstead and Bernard Lidicky

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Discrete Dynamical Systems in Multiple Target and Alternate SELEX, Howard A. Levine and Yeon-Jung Seo

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Block Stanley Decompositions I. Elementary and gnomon decompositions, James Murdock and Theodore Murdock

Submissions from 2014

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Minimum rank with zero diagonal, Cheryl Grood, Johannes Harmse, Leslie Hogben, Thomas J. Hunter, Bonnie Jacob, Andrew Klimas, and Sharon McCathern

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ISU REU: diverse, research-intense, team-based, Leslie Hogben

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AIM’s Research Experiences for Undergraduate Faculty program, Leslie Hogben and Ulrica Wilson

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Computing boundary extensions of conformal maps, Timothy H. McNicholl

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Recursive Robust PCA or Recursive Sparse Recovery in Large but Structured Noise, Chenlu Qiu, Namrata Vaswani, Brian Lois, and Leslie Hogben

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Recursive Robust PCA or Recursive Sparse Recovery in Large but Structured Noise, Chenlu Qiu, Namrata Vaswani, Brian Lois, and Leslie Hogben

Submissions from 2013

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Potentially eventually exponentially positive sign patterns, Marie Archer, Minerva Catral, Craig Erickson, Rana Haber, Leslie Hogben, Xavier Martinez-Rivera, and Antonio Ochoa

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Note on Nordhaus-Gaddum Problems for Colin de Verdière type Parameters, Wayne Barrett, Shaun M. Fallat, H. Tracy Hall, and Leslie Hogben

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Fully invariant and verbal congruence relations, Clifford Bergman and Joel Berman

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Measuring Bias in Cyclic Random Walks, Clifford Bergman and Sethuraman Sunder

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Zero Forcing, Linear and Quantum Controllability for Systems Evolving on Networks, Daniel Burgarth, Domenico D'Alessandro, Leslie Hogben, Simone Severini, and Michael Young

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Positive Semidefinite Zero Forcing, Jason Ekstrand, Craig Erickson, H. Tracy Hall, Diana Hay, Leslie Hogben, Ryan Johnson, Nicole Kingsley, Steven Osborne, Travis Peters, Jolie Roat, Arianne Ross, Darren D. Row, Nathan Warnberg, and Michael Young

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Computing links and accessing arcs, Timothy H. McNicholl

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The power of backtracking and the confinement of length, Timothy H. McNicholl

Submissions from 2012

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On the graph complement conjecture for minimum rank, Francesco Barioli, Wayne Barrett, Shaun M. Fallat, H. Tracy Hall, Leslie Hogben, and Hein van der Holst

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Parameters Related to Tree-Width, Zero Forcing, and Maximum Nullity of a Graph, Francesco Barioli, Wayne Barrett, Shaun M. Fallat, Leslie Hogben, Bryan Shader, P. van den Driessche, and Hein van der Holst

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Sign patterns that allow strong eventual nonnegativity, M. Catral, C. Erickson, L. Hogben, D. D. Olesky, and P. van den Driessche

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Zero forcing number, maximum nullity, and path cover number of subdivided graphs, Minerva Catral, Anna Cepek, Leslie Hogben, My Huynh, Kirill Lazebnik, Travis Peters, and Michael Young

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Note on positive semidefinite maximum nullity and positive semidefinite zero forcing number of partial 2-trees, J. Ekstrand, C. Erickson, D. Hay, L. Hogben, and J. Roat

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Special identities for Bol algebras, Irvin R. Hentzel and Luiz A. Peresi

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Propagation time for zero forcing on a graph, Leslie Hogben, My Huynh, Nicole Kingsley, Sarah Meyer, Shanise Walker, and Michael Young

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Eventual properties of matrices, Leslie Hogben and Ulrica Wilson

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A Mathematical Model for Selective Differentiation of Neural Progenitor Cells on Micropatterned Polymer Substrates, Cory L. Howk, Howard A. Levine, Michael W. Smiley, Surya K. Mallapragada, Marit Nilsen-Hamilton, Jisun Oh, and Donald S. Sakaguchi

Submissions from 2011

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Constructions of potentially eventually positive sign patterns with reducible positive part, Marie Archer, Minerva Catral, Craig Erickson, Rana Haber, Leslie Hogben, Xavier Martinez-Rivera, and Antonio Ochoa

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Left centralizers on rings that are not semiprime, Irvin R. Hentzel and M.S. Tammam El-Sayiad

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A note on minimum rank and maximum nullity of sign patterns, Leslie Hogben

Submissions from 2010

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Minimum rank of skew-symmetric matrices described by a graph, Mary Allison, Elizabeth Bodine, Luz Maria DeAlba, Joyati Debnath, Laura DeLoss, Colin Garnett, Jason Grout, Leslie Hogben, Bokhee Im, Hana Kim, Reshmi Nair, Olga Pryporova, Kendrick Savage, Bryan Shader, and Amy Wangsness Wehe

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Minimum rank, maximum nullity and zero forcing number for selected graph families, Edgard Almodovar, Laura DeLoss, Leslie Hogben, Kirsten Hogenson, Kaitlyn Murphy, Travis Peters, and Camila A. Ramírez

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Zero forcing parameters and minimum rank problems, Francesco Barioli, Wayne Barrett, Shaun M. Fallat, H. Tracy Hall, Leslie Hogben, Bryan Shader, P. van den Driessche, and Hein van der Holst

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Idempotents in plenary train algebras, Antonio Behn and Irvin R. Hentzel

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Solvability of Commutative Right-Nilalgebras Satisfying (b (aa)) a= b ((aa) a), Ivan Correa, Alicia Labra, and Irvin R. Hentzel

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Techniques for determining the minimum rank of a small graph, Laura DeLoss, Jason Grout, Leslie Hogben, Tracy McKay, Jason Smith, and Geoff Tims

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Expected values of parameters associated with the minimum rank of a graph, H. Tracy Hall, Leslie Hogben, Ryan R. Martin, and Bryan Shader

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Minimum Rank Problems, Leslie Hogben

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A linear algebraic view of partition regular matrices, Leslie Hogben and Jillian McLeod

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Maximum Generic Nullity of a Graph, Leslie Hogben and Bryan Shader

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Quenching for Quasilinear Equations, Fila Marek, Bernhard Kawohl, and Howard A. Levine

Submissions from 2009

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On the minimum rank of not necessarily symmetric matrices: A preliminary study, Francesco Barioli, Shaun M. Fallat, H. Tracy Hall, Daniel Hershkowitz, Leslie Hogben, Hein van der Holst, Bryan Shader, Bryan Shader, Bryan Shader, Bryan Shader, and Bryan Shader

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Sign patterns that allow eventual positivity, Abraham Berman, Minerva Catral, Luz Maria DeAlba, Abed Elhashash, Frank J. Hall, Leslie Hogben, In-Jae Kim, Dale D. Olesky, Pablo Tarazaga, Michael J. Tsatsomeros, and Pauline van den Driessche

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Universal enveloping algebras of the four-dimensional Malcev algebra, Murray R. Bremner, Irvin R. Hentzel, Luiz A. Peresi, and Hamid Usefi

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Sign patterns that require or allow power-positivity, Minerva Catral, Leslie Hogben, Dale D. Olesky, and Pauline van den Driessche

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Commutative Finitely Generated Algebras Satisfying ((yx)x)x=0 are Solvable, Ivan Correa and Irvin R. Hentzel

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The Q-matrix completion problem, Luz Maria DeAlba,; Leslie Hogben; and Bhaba Kumar Sarma

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Universally optimal matrices and field independence of the minimum rank of a graph, Luz M. DeAlba, Jason Grout, Leslie Hogben, Rana Mikkelson, and Kaela Rasmussen

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Sign patterns that require eventual positivity or require eventual nonnegativity, Elisabeth M. Ellison, Leslie Hogben, and Michael J. Tsatsomeros

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Eventually cyclic matrices and a test for strong eventual nonnegativity, Leslie Hogben

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A Mathematical Model for the Role of Cell Signal Transduction in the Initiation and Inhibition of Angiogenesis, Howard Levine, Anna L. Tucker, and Marit Nilsen-Hamilton

Submissions from 2008

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Zero forcing sets and the minimum rank of graphs, Francesco Barioli, Wayne Barrett, Steve Butler, Sebastian M. Cioabă, Dragoš Cvetković, Shaun M. Fallat, Chris Godsil, Willem Haemers, Leslie Hogben, Rana Mikkelson, Sivaram Narayan, Olga Pryporova, Irene Sciriha, Wasin So, Dragan Stevanović, Hein van der Holst, Kevin Vander Meulen, and Amy Wangsness Wehe

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Minimum Rank of Matrices Described by a Graph or Pattern over the Rational, Real and Complex Numbers, Avi Berman, Shmuel Friedland, Leslie Hogben, Uriel G. Rothblum, and Bryan Shader

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An upper bound for the minimum rank of a graph, Avi Berman, Shmuel Friedland, Leslie Hogben, Uriel G. Rothblum, and Bryan Shader

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Nuclear Elements of Degree 6 in the Free Alternative Algebra, Irvin R. Hentzel and L. A. Peresi

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Orthogonal representations, minimum rank, and graph complements, Leslie Hogben

Submissions from 2007

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Minimum rank of a graph over an arbitrary field, Nathan L. Chenette, Sean V. Droms, Leslie Hogben, Rana Mikkelson, and Olga Pryporova

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Spectrally arbitrary patterns: Reducibility and the 2n conjecture for n = 5, Luz M. DeAlba, Irvin R. Hentzel, Leslie Hogben, Judith McDonald, Rana Mikkelson, Olga Pryporova, Bryan Shader, and Kevin N. Vander Meulen

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The Minimum Rank of Symmetric Matrices Described by a Graph: A Survey, Shaun M. Fallat and Leslie Hogben

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Your NSF Mathematical Sciences Institutes, Jason Grout and Leslie Hogben

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The copositive completion problem: Unspecified diagonal entries, Leslie Hogben

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Forbidden minors for the class of graphs G with ξ(G) ⩽ 2, Leslie Hogben and Hein van der Holst

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The critical Fujita number for a semilinear heat equation in exterior domains with homogeneous Neumann boundary values, Howard A. Levine and Q. S. Zhang

Submissions from 2006

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On completion problems for various classes of P-matrices, John Bowers, Job Evers, Leslie Hogben, Steve Shaner, Karyn Snider, and Amy Wangsness

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Identities relating the Jordan product and the associator in the free nonassociative algebra, Murray R. Bremner and Irvin R. Hentzel

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Rational realization of maximum eigenvalue multiplicity of symmetric tree sign patterns, Atoshi Chowdhury, Leslie Hogben, Jude Melancon, and Rana Mikkelson