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Submissions from 2019

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Polychromatic Colorings on the Integers, Maria Axenovich, John Goldwasser, Bernard Lidicky, Ryan R. Martin, David Offner, John Talbot, and Michael Young

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Random Models of Idempotent Linear Maltsev Conditions. I. Idemprimality, Clifford Bergman and Agnes Szendrei

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Cop throttling number: Bounds, values, and variants, Anthony Bonato, Jane Breen, Boris Brimkov, Joshua Carlson, Sean English, Jesse Geneson, Leslie Hogben, K. E. Perry, and Carolyn Reinhart

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Restricted power domination and zero forcing problems, Chassidy Bozeman, Boris Brimkov, Craig Erickson, Daniela Ferrero, Mary Flagg, and Leslie Hogben

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Throttling positive semidefinite zero forcing propagation time on graphs, Joshua Carlson, Leslie Hogben, Jürgen Kritschgau, Kate Lorenzen, Michael S. Ross, Seth Selken, and Vicente Valle Martinez

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Coloring count cones of planar graphs, Zdenek Dvorak and Bernard Lidicky

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The sepr-sets of sign patterns, Leslie Hogben, Jephian C.-H. Lin, D. D. Olesky, and P. van den Driessche

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Decomposing graphs into edges and triangles, Daniel Kral, Bernard Lidicky, Taisa L. Martins, and Yanitsa Pehova

Submissions from 2018

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Proof of a Conjecture of Graham and Lovasz concerning Unimodality of Coefficients of the Distance Characteristic Polynomial of a Tree, Ghodratollah Aalipour, Aida Abiad, Zhanar Berikkyzy, Leslie Hogben, Franklin H.J. Kenter, Jephian C.-H. Lin, and Michael Tait

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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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On facial unique-maximum (edge-)coloring, Vesna Andova, Bernard Lidicky, Borut Luzar, and Riste Skrekovski

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Polychromatic colorings of complete graphs with respect to 1‐, 2‐factors and Hamiltonian cycles, Maria Axenovich, John Goldwasser, Ryan Hansen, Bernard Lidicky, Ryan R. Martin, David Offner, John Talbot, and Michael Young

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Minimizing the number of 5-cycles in graphs with given edge-density, Patrick Bennett, Andrzej Dudek, and Bernard Lidicky

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Nordhaus–Gaddum problems for power domination, Katherine F. Benson, Daniela Ferrero, Mary Flagg, Veronika Furst, Leslie Hogben, and Violeta Vasilevska

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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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Introducing Boolean Semilattices, Clifford Bergman

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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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Throttling for the game of Cops and Robbers on graphs, Jane Breen, Boris Brimkov, Joshua Carlson, Leslie Hogben, K. E. Perry, and Carolyn Reinhart

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Graphs that are cospectral for the distance Laplacian, Boris Brimkov, Ken Duna, Leslie Hogben, Kate Lorenzen, Carolyn Reinhart, Sung-Yell Song, and Mark Yarrow

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Partition problems in high dimensional boxes, Matija Bucic, Bernard Lidicky, Jason Long, and Adam Zsolt Wagner

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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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Inducibility of directed paths, Ilkyoo Choi, Bernard Lidicky, and Florian Pfender

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On the Strong Chromatic Index of Sparse Graphs, Philip DeOrsey, Michael Ferrara, Nathan Graber, Stephen G. Hartke, Luke L. Nelsen, Eric Sullivan, Sogol Jahanbekam, Bernard Lidicky, Derrick Stolee, and Jennifer White

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Fine structure of 4-critical triangle-free graphs III. General surfaces, Zdenek Dvorak and Bernard Lidicky

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Fine Structure of 4-Critical Triangle-Free Graphs I. Planar Graphs with Two Triangles and 3-Colorability of Chains, Zdenek Dvorak and Bernard Lidicky

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Rigid linkages and partial zero forcing, Daniela Ferrero, Mary Flagg, H. Tracy Hall, Leslie Hogben, Jephian C.-H. Lin, Seth A. Meyer, Shahla Nasserasr, and Bryan Shader

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

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Polychromatic Colorings on the Hypercube, John Goldwasser, Bernard Lidicky, Ryan R. Martin, David Offner, John Talbot, and Michael Young

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Zero forcing and maximum nullity for hypergraphs, Leslie Hogben

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SPN graphs and rank-1 CP-completable graphs, Leslie Hogben and Naomi Shaked-Monderer

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Notes on complexity of packing coloring, Minki Kim, Bernard Lidicky, Tomas Masarik, and Florian Pfender

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A counterexample to a conjecture on facial unique-maximal colorings, Bernard Lidicky, Kacy Messerschmidt, and Riste Skrekovski

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Facial unique-maximum colorings of plane graphs with restriction on big vertices, Bernard Lidicky, Kacy Messerschmidt, and Riste Škrekovski

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Pentagons in triangle-free graphs, Bernard Lidicky and Florian Pfender

Submissions from 2017

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Closing in on Hill's conjecture, Josef Balogh, Bernard Lidicky, and Gelasio Salazar

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

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The inverse eigenvalue problem of a graph: Multiplicities and minors, Wayne Barrett, Steve Butler, Shaun M. Fallat, H. Tracy Hall, Leslie Hogben, Jephian C.-H. Lin, Bryan L. Shader, 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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Universal Algebraic Methods for Constraint Satisfaction Problems, Clifford Bergman and William Demeo

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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 Derrick Stolee

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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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The Enhanced Principal Rank Characteristic Sequence for Hermitian Matrices, Steve Butler, M. Catral, H. Tracy Hall, Leslie Hogben, Xavier Martinez-Rivera, Bryan L. Shader, and Pauline van den Driessche

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Ore and Chvátal-type Degree Conditions for Bootstrap Percolation from Small Sets, Michael Dairyko, Michael Ferrara, Bernard Lidicky, Ryan R. Martin, Florian Pfender, and Andrew J. Uzzell

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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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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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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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Irreversible 2-conversion set in graphs of bounded degree, Jan Kyncl, Bernard Lidicky, and Tomas Vyskocil

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Semidefinite Programming and Ramsey Numbers, Bernard Lidicky and Florian Pfender

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

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Nordhaus-Gaddum problems for Colin de Verdière type parameters, variants of tree-width, and related parameters, Leslie Hogben

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Multi-part Nordhaus-Gaddum type problems for tree-width, Colin de Verdière type parameters, and Hadwiger number, Leslie Hogben, Jephian C.-H. Lin, and Michael Young

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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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Minimum Rank of Graphs with Loops, Chassidy Bozeman, AnnaVictoria Ellsworth, Leslie Hogben, Jephian Chin-Hung Lin, Gabi Maurer, Kathleen Nowak, Aaron Rodriguez, and James Strickland

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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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The principal rank characteristic sequence over various fields, Wayne Barrett, Steve Butler, Minerva Catral, Shaun M. Fallat, H. Tracy Hall, Leslie Hogben, P. van den Driessche, and Michael Young

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The maximum nullity of a complete subdivision graph is equal to its zero forcing number, Wayne Barrett, Steve Butler, Minerva Catral, Shaun M. Fallat, H. Tracy Hall, Leslie Hogben, and Michael Young

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Minimum Rank, Maximum Nullity, and Zero Forcing Number of Graphs, Shaun M. Fallat and Leslie Hogben

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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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Minimum rank, maximum nullity, and zero forcing number of simple digraphs, Adam Berliner, Minerva Catral, Leslie Hogben, My Huynh, Kelsey Lied, and Michael Young

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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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Vertex and edge spread of zero forcing number, maximum nullity, and minimum rank of a graph, Christina J. Edholm, Leslie Hogben, My Huynh, Josh LaGrange, and Darren D. Row