Leslie Hogben
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American mathematician
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Leslie Hogbenmathematics Degrees
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Linear Algebra
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Mathematics
Leslie Hogben's Degrees
- PhD Mathematics University of California, San Diego
- Masters Mathematics University of California, San Diego
- Bachelors Mathematics University of California, San Diego
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Why Is Leslie Hogben Influential?
(Suggest an Edit or Addition)According to Wikipedia, Leslie Hogben is an American mathematician specializing in graph theory and linear algebra, and known for her mentorship of graduate students in mathematics. She is a professor of mathematics at Iowa State University, where she held the Dio Lewis Holl Chair in Applied Mathematics 2012-2020; she is also professor of electrical and computer engineering at Iowa State, associate dean for graduate studies and faculty development of the College of Liberal Arts and Sciences at Iowa State, and associate director for diversity at the American Institute of Mathematics.
Leslie Hogben's Published Works
Published Works
- Handbook of Linear Algebra (2006) (656)
- Combinatorial Matrix Theory (2013) (422)
- The minimum rank of symmetric matrices described by a graph: A survey☆ (2007) (235)
- Zero forcing parameters and minimum rank problems (2010) (191)
- Parameters Related to Tree‐Width, Zero Forcing, and Maximum Nullity of a Graph (2013) (122)
- Recursive Robust PCA or Recursive Sparse Recovery in Large but Structured Noise (2012) (115)
- Vertex and edge spread of zero forcing number, maximum nullity, and minimum rank of a graph (2012) (110)
- Propagation time for zero forcing on a graph (2012) (102)
- Computation of minimal rank and path cover number for certain graphs (2004) (96)
- SPECTRAL GRAPH THEORY AND THE INVERSE EIGENVALUE PROBLEM OF A GRAPH (2005) (93)
- Minimum Rank Problems (2010) (82)
- Minimum Rank, Maximum Nullity, and Zero Forcing Number of Graphs (2014) (68)
- Zero Forcing, Linear and Quantum Controllability for Systems Evolving on Networks (2011) (66)
- An upper bound for the minimum rank of a graph (2008) (62)
- Graph theoretic methods for matrix completion problems (2001) (55)
- Positive semidefinite zero forcing (2013) (54)
- Maximal modular inner ideals and the Jacobson radical of a Jordan algebra (1981) (53)
- Handbook of Linear Algebra : Handbook of Linear Algebra (2013) (50)
- Zero forcing and power domination for graph products (2018) (49)
- Minimum rank of skew-symmetric matrices described by a graph (2010) (49)
- A variant on the graph parameters of Colin de Verdiere: Implications to the minimum rank of graphs (2005) (44)
- Spectra of families of matrices described by graphs, digraphs, and sign patterns (2006) (43)
- On the minimum rank of not necessarily symmetric matrices : a preliminary study (2009) (42)
- On the difference between the maximum multiplicity and path cover number for tree-like graphs (2005) (41)
- Variants on the minimum rank problem: A survey II (2011) (39)
- Logic circuits from zero forcing (2011) (38)
- On the graph complement conjecture for minimum rank (2012) (36)
- Orthogonal representations, minimum rank, and graph complements (2008) (36)
- On the graph complement conjecture for minimum rank (2012) (36)
- Forbidden minors for the class of graphs G with ξ(G)⩽2 (2007) (36)
- Generalizations of the Strong Arnold Property and the Minimum Number of Distinct Eigenvalues of a Graph (2015) (35)
- Sign patterns that allow eventual positivity (2009) (33)
- Spectrally arbitrary patterns: Reducibility and the 2n conjecture for n = 5 (2007) (32)
- SIGN PATTERNS THAT REQUIRE EVENTUAL POSITIVITY OR REQUIRE EVENTUAL NONNEGATIVITY (2009) (31)
- Throttling positive semidefinite zero forcing propagation time on graphs (2018) (30)
- The copositive completion problem (2005) (30)
- Note on power propagation time and lower bounds for the power domination number (2017) (28)
- Techniques for determining the minimum rank of a small graph (2010) (27)
- Techniques for determining the minimum rank of a small graph (2010) (27)
- UNIVERSALLY OPTIMAL MATRICES AND FIELD INDEPENDENCE OF THE MINIMUM RANK OF A GRAPH (2009) (27)
- Expected values of parameters associated with the minimum rank of a graph (2010) (26)
- Restricted power domination and zero forcing problems (2017) (26)
- On the Distance Spectra of Graphs (2015) (24)
- The inverse eigenvalue problem of a graph: Multiplicities and minors (2017) (24)
- Completions of inverse M-matrix patterns (1998) (24)
- Throttling for the game of Cops and Robbers on graphs (2017) (23)
- Note on positive semidefinite maximum nullity and positive semidefinite zero forcing number of partial 2-trees (2012) (23)
- Minimum Rank of Matrices Described by a Graph or Pattern over the Rational, Real and Complex Numbers (2008) (23)
- Minimum rank and maximum eigenvalue multiplicity of symmetric tree sign patterns (2006) (22)
- Matrix completion problems for pairs of related classes of matrices (2003) (21)
- The relationship between k-forcing and k-power domination (2017) (20)
- Rainbow arithmetic progressions (2014) (19)
- Note on von Neumann and R\'enyi entropies of a Graph (2016) (18)
- Completions of P-matrix patterns (1998) (18)
- Orthogonal Representations, Projective Rank, and Fractional Minimum Positive Semidefinite Rank: Connections and New Directions (2015) (17)
- Power domination and zero forcing (2015) (17)
- The principal rank characteristic sequence over various fields (2014) (16)
- The P_0-matrix completion problem (2002) (16)
- EVENTUALLY CYCLIC MATRICES AND A TEST FOR STRONG EVENTUAL NONNEGATIVITY (2009) (16)
- Minimum rank of a tree over an arbitrary field (2006) (16)
- Applications to Computer Science (2013) (14)
- The Enhanced Principal Rank Characteristic Sequence (2016) (14)
- Minimum rank of a graph over an arbitrary field (2007) (14)
- The copositive completion problem: Unspecified diagonal entries (2007) (14)
- Applications of analysis to the determination of the minimum number of distinct eigenvalues of a graph (2017) (14)
- The nonnegative P_0-matrix completion problem (2003) (14)
- The symmetric M-matrix and symmetric inverse M-matrix completion problems (2002) (14)
- On Crossing Numbers of Complete Tripartite and Balanced Complete Multipartite Graphs (2014) (14)
- Graphs that are cospectral for the distance Laplacian (2018) (12)
- Inverse M-matrix completions of patterns omitting some diagonal positions (2000) (12)
- 50 Years of Combinatorics, Graph Theory, and Computing (2019) (11)
- Zero forcing propagation time on oriented graphs (2017) (11)
- Minimum rank with zero diagonal (2014) (11)
- A NOTE ON MINIMUM RANK AND MAXIMUM NULLITY OF SIGN PATTERNS (2011) (11)
- MINIMUM RANK, MAXIMUM NULLITY, AND ZERO FORCING NUMBER OF SIMPLE DIGRAPHS (2013) (11)
- Sign patterns that require or allow power-positivity (2009) (11)
- CONSTRUCTIONS OF POTENTIALLY EVENTUALLY POSITIVE SIGN PATTERNS WITH REDUCIBLE POSITIVE PART (2011) (10)
- Propagation time for probabilistic zero forcing (2018) (10)
- Inverse Problems and Zero Forcing for Graphs (2022) (10)
- On completion problems for various classes of P-matrices (2006) (10)
- Multiplicative perturbations of stable and convergent operators (1998) (9)
- Nordhaus-Gaddum problems for power domination (2018) (9)
- Spectra of Variants of Distance Matrices of Graphs and Digraphs: A Survey (2021) (9)
- Nordhaus-Gaddum problems for Colin de Verdière type parameters, variants of tree-width, and related parameters (2016) (8)
- Minimum rank, maximum nullity and zero forcing number for selected graph families (2010) (8)
- Sign patterns that allow strong eventual nonnegativity (2012) (8)
- Deductive varieties of modules and universal algebras (1985) (8)
- Zero forcing number, maximum nullity, and path cover number of subdivided graphs (2012) (8)
- Fractional zero forcing via three-color forcing games (2015) (8)
- Zero forcing and maximum nullity for hypergraphs (2018) (7)
- Optimizing the trade-off between number of cops and capture time in Cops and Robbers (2019) (7)
- The (weakly) sign symmetric P-matrix completion problems (2003) (7)
- The maximum nullity of a complete subdivision graph is equal to its zero forcing number (2014) (7)
- Using Markov Chains to Determine Expected Propagation Time for Probabilistic Zero Forcing (2019) (7)
- The Enhanced Principal Rank Characteristic Sequence for Hermitian Matrices (2017) (6)
- Power propagation time and lower bounds for power domination number (2015) (6)
- Recent trends in combinatorics (2016) (6)
- Matrix Completion Problems (2005) (6)
- Maximum generic nullity of a graph (2010) (6)
- The Q-matrix completion problem (2009) (6)
- NOTE ON THE JORDAN FORM OF AN IRREDUCIBLE EVENTUALLY NONNEGATIVE MATRIX (2015) (6)
- Path cover number, maximum nullity, and zero forcing number of oriented graphs and other simple digraphs (2015) (6)
- Flexible derivation alternator rings (1980) (5)
- MINIMUM RANK OF GRAPHS WITH LOOPS (2015) (5)
- Potentially eventually exponentially positive sign patterns (2013) (5)
- Note on Nordhaus-Gaddum Problems for Colin de Verdière type Parameters (2013) (4)
- Table of minimum ranks of graphs of order at most 7 and selected optimal matrices (2008) (4)
- Reconfiguration graphs of zero forcing sets (2020) (4)
- Cop throttling number: Bounds, values, and variants (2019) (4)
- Eventual properties of matrices (2012) (4)
- Families of graphs with maximum nullity equal to zero forcing number (2018) (4)
- Proof of a conjecture of Graham and Lov\'asz concerning unimodality of coefficients of the distance characteristic polynomial of a tree (2015) (4)
- Applications to Geometry (2013) (4)
- Radicals and semi-prime ideals of jordan triple systems (1979) (4)
- Rigid Linkages and Partial Zero Forcing (2018) (3)
- Relationships between the Completion Problems for Various Classes of Matrices (2003) (3)
- Figurate series and factorial notation. (1954) (3)
- The Inverse Eigenvalue Problem of a Graph (2019) (3)
- The Inverse Eigenvalue Problem of a Graph, Zero Forcing, and Related Parameters (2020) (3)
- Spectral theory of products of digraphs. (2020) (3)
- Skew throttling (2019) (3)
- Product Throttling (2020) (3)
- Product Throttling for Power Domination. (2020) (3)
- Exhaustive Checking of Sparse Algebras (1981) (3)
- Radicals and homotopes of jordan algebras (1981) (2)
- The sepr-sets of sign patterns (2018) (2)
- Rational realization of maximum eigenvalue multiplicity of symmetric tree sign patterns (2006) (2)
- A linear algebraic view of partition regular matrices (2010) (2)
- The nonnegative -matrix completion problem. (2003) (2)
- Note on Nordhaus-Gaddum problems for power domination (2016) (1)
- C O ] 1 O ct 2 01 5 On the distance spectra of graphs (2016) (1)
- A brief biography and appreciation of Miroslav Fiedler with a bibliography of his books and papers (2007) (1)
- 1 Completions of P-Matrix Patterns (2000) (1)
- Generic maximum nullity of a graph (2008) (1)
- Spectra of products of digraphs (2020) (1)
- Topics in Combinatorial Matrix Theory (2013) (1)
- Review of Linear Algebra Done Right, 3rd Edition (2016) (1)
- Power domination reconfiguration (2022) (1)
- Theory and applications of matrices described by patterns: Preface and workshop report (2012) (1)
- Multi-part Nordhaus-Gaddum type problems for tree-width, Colin de Verdière type parameters, and Hadwiger number (2016) (0)
- Eventually Nonnegative Matrices and their Sign Patterns (2011) (0)
- Topics in Numerical Linear Algebra (2013) (0)
- D M ] 1 D ec 2 01 1 Logic circuits from zero forcing (2018) (0)
- AIM’s Research Experiences for Undergraduate Faculty program (2014) (0)
- Applications to Algebra (2013) (0)
- SPN graphs and rank-1 CP-completable graphs (2018) (0)
- Applied Linear Algebra by Peter J. Olver; Chehrzad Shakiban (2008) (0)
- GRAPH IS EQUAL TO ITS ZERO FORCING NUMBER, M( G) = Z( G) (2013) (0)
- Combinatorial Matrix Theory and Graphs (2013) (0)
- Sign patterns that allow strong eventual nonnegativity Sign patterns that allow strong eventual nonnegativity (2020) (0)
- C O ] 1 4 N ov 2 01 7 Restricted power domination and zero forcing problems (2018) (0)
- On Hopf Algebras of Dimension 4p Table of Contents (0)
- D-Optimal Matrices (2006) (0)
- Adventures with numbers and iteration (2014) (0)
- Reviews (2016) (0)
- Laurent Series Obtained by Long Division (1985) (0)
- Rigid Linkages and Partial Zero Forcing Rigid Linkages and Partial Zero Forcing (2020) (0)
- Preface to the 16th ILAS Conference Proceedings, Pisa 2010 (2013) (0)
- Linear Algebra in Other Disciplines (2013) (0)
- Joining a Mathematical Research Community (2019) (0)
- Applications to Probability and Statistics (2013) (0)
- Note on power propagation time and lower bounds for the power domination number (2016) (0)
- Numerical Methods for Linear Systems (2013) (0)
- A ug 2 01 8 Rigid linkages and partial zero forcing (2018) (0)
- Your NSF Mathematical Sciences Institutes (2007) (0)
- Isomorphisms and properties of TAR reconfiguration graphs for zero forcing and other $X$-set parameters (2022) (0)
- ISU REU: diverse, research-intense, team-based (2014) (0)
- Positive and Negative Square Energies of Graphs (2023) (0)
- Orthogonal realizations of random sign patterns and other applications of the SIPP (2022) (0)
- Interactive Software for Linear Algebra (2013) (0)
- Logic circuits from zero forcing (2014) (0)
- Applications to Physical and Biological Sciences (2013) (0)
- Numerical Methods for Eigenvalues (2013) (0)
- Reviews (2008) (0)
- Master of School Mathematics Creative Component (2008) (0)
- Survey of Product Throttling (2020) (0)
- Packages of Subroutines for Linear Algebra (2013) (0)
- Applications to Analysis (2013) (0)
- C O ] 3 A ug 2 02 0 SPECTRAL THEORY OF PRODUCTS OF DIGRAPHS (2021) (0)
- Restricted power domination and zero forcing problems (2018) (0)
- ELA SIGN PATTERNS THAT ALLOW EVENTUAL POSITIVITY (2010) (0)
- December 12, 2011 POSITIVE SEMIDEFINITE ZERO FORCING (2011) (0)
- Inverse eigenvalue and related problems for hollow matrices described by graphs (2022) (0)
- May 7, 2010 DETERMINING WHETHER A MATRIX IS STRONGLY EVENTUALLY NONNEGATIVE (2010) (0)
- Canonical Forms for Similarity (2013) (0)
- Student Produced Advanced Mathematical Software. (1988) (0)
- The Implicitly Restarted Arnoldi Methods (2006) (0)
- Cospectral Bipartite Graphs for the Normalized Laplacian Table of Contents (0)
- Upper bounds for positive semidefinite propagation time (2021) (0)
- Applications to Optimization (2013) (0)
- Algebra by Visual Aids (1949) (0)
- ELA MINIMUM RANK OF GRAPHS WITH LOOPS (2019) (0)
- C O ] 1 3 Ju l 2 01 8 The sepr-sets of sign patterns (2018) (0)
- Topics in Linear Algebra (2013) (0)
- ELA EVENTUAL PROPERTIES OF MATRICES (2019) (0)
- Preface to the Proceedings of ILAS 2017: Connections, Twenty-first Conference of the International Linear Algebra Society, Iowa State University, 24–28 July 2017 (2019) (0)
- Minimum rank with zero diagonal Authors (2017) (0)
- Product Thottling (2021) (0)
- THE MAXIMUM NULLITY OF A COMPLETE SUBDIVISION (2013) (0)
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