Bryan Shader | Academic Influence

Bryan Shader's AcademicInfluence.com Rankings

Bryan Shader

Mathematics

#3183

World Rank

#4754

Historical Rank

#1195

USA Rank

Applied Mathematics

#375

World Rank

#402

Historical Rank

#80

USA Rank

Measure Theory

#3997

World Rank

#4710

Historical Rank

#1138

USA Rank

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Mathematics

Bryan Shader's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Bryan Shader Influential?

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According to Wikipedia, Bryan Lynn Shader is a professor of mathematics at the University of Wyoming. He received his Ph.D. from University of Wisconsin-Madison in 1990, his advisor was Professor Richard Brualdi. Shader is the Editor-in-chief of the Electronic Journal of Linear Algebra. He is also Associate Editor of other two journals, Linear Algebra and its Applications and Linear & Multilinear Algebra . He is one of the most active mathematicians working on Combinatorial Matrix Theory. He is also noted for his monograph on matrices of sign-solvable linear systems. Besides organizing many workshops, he is a co-principal investigator of Math Teacher Leadership Program, a National Science Foundation project . Shader is special assistant to the Vice-President of Research of University of Wyoming.

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Bryan Shader's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Matrices of Sign-Solvable Linear Systems (1995) (272)
Zero forcing parameters and minimum rank problems (2010) (191)
Parameters Related to Tree‐Width, Zero Forcing, and Maximum Nullity of a Graph (2013) (122)
Characteristic vertices of weighted trees via perron values (1996) (92)
On graphs with equal algebraic and vertex connectivity (2002) (69)
Skew Spectra of Oriented Graphs (2009) (68)
An upper bound for the minimum rank of a graph (2008) (62)
Distances in Weighted Trees and Group Inverse of Laplacian Matrices (1997) (59)
Graphs and matrices (2004) (55)
Matrix factorizations of determinants and permanents (1990) (50)
Minimum rank of skew-symmetric matrices described by a graph (2010) (49)
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)
Exponents of nonnegative matrix pairs (2003) (40)
On Sign-Nonsingular Matrices and the Conversion of the Permanent into the Determinant (1990) (40)
Applications of Paz's inequality to perturbation bounds for Markov chains (1998) (40)
Biclique decompositions and Hermitian rank (1999) (37)
Generalizations of the Strong Arnold Property and the Minimum Number of Distinct Eigenvalues of a Graph (2015) (35)
Spectrally arbitrary patterns: Reducibility and the 2n conjecture for n = 5 (2007) (32)
Construction of matrices with a given graph and prescribed interlaced spectral data (2013) (31)
On Fiedler- and Parter-vertices of acyclic matrices (2008) (29)
Smith Normal Form and acyclic matrices (2005) (28)
Pick's Inequality and Tournaments (1993) (26)
Expected values of parameters associated with the minimum rank of a graph (2010) (26)
Companion matrix patterns (2014) (25)
Generating potentially nilpotent full sign patterns (2009) (25)
Tournament matrices with extremal spectral properties (1994) (24)
The inverse eigenvalue problem of a graph: Multiplicities and minors (2017) (24)
Exponents of tuples of nonnegative matrices (2002) (23)
Minimum Rank of Matrices Described by a Graph or Pattern over the Rational, Real and Complex Numbers (2008) (23)
On tournament matrices (1992) (21)
Multicolored forests in bipartite decompositions of graphs (1991) (21)
Extremal properties of ray-nonsingular matrices (2000) (20)
On a bound on algebraic connectivity: the case of equality (1998) (19)
The nilpotent-centralizer method for spectrally arbitrary patterns (2013) (18)
Tight bounds on the algebraic connectivity of a balanced binary tree (1999) (18)
Non-singular acyclic matrices (2009) (18)
ON DETERMINING MINIMAL SPECTRALLY ARBITRARY PATTERNS (2005) (18)
Least Squares Sign-Solvability (1995) (17)
Rectangular L-matrices (1994) (16)
Sphere-of-influence graphs using the sup-norm (2000) (15)
Bounds on the subdominant eigenvalue involving group inverse with applications to graphs (1998) (15)
Sign Patterns That Allow a Positive or Nonnegative Left Inverse (2007) (15)
Linear systems with signed solutions (2000) (14)
Sign-consistency and solvability of constrained linear systems (1998) (14)
A proof of the Tn conjecture: Centralizers, Jacobians and spectrally arbitrary sign patterns (2012) (13)
Irreducible, pattern k-potent ray pattern matrices (2002) (13)
On Almost Regular Tournament Matrices (2000) (13)
Bipartite Graphs and Inverse Sign Patterns of Strong Sign-Nonsingular Matrices (1994) (12)
The nowhere-zero eigenbasis problem for a graph (2016) (11)
Sparse orthogonal matrices and the Haar wavelet (2000) (11)
On matrices which have signed null-spaces (2002) (10)
Inverse Problems and Zero Forcing for Graphs (2022) (10)
A Construction for (t, m, s)-nets in Base q (1997) (10)
Acyclic matrices with a small number of distinct eigenvalues (2013) (10)
Classes of graphs with minimum skew rank 4 (2013) (10)
CLASSIFICATION OF TREES EACH OF WHOSE ASSOCIATED ACYCLIC MATRICES WITH DISTINCT DIAGONAL ENTRIES HAS DISTINCT EIGENVALUES (2008) (10)
How Sparse Can a Matrix with Orthogonal Rows Be? (1999) (9)
The Bulletin of the International Linear Algebra Society (2008) (9)
Yellowstone: A Dedicated Resource for Earth System Science (2017) (9)
On the maximum skew spectral radius and minimum skew energy of tournaments (2018) (8)
Strong Hall Matrices (1994) (8)
Minimum permanents on special faces of the polytope of doubly stochastic matrices (1994) (8)
Characterization of a family of generalized companion matrices (2016) (8)
Score certificate numbers of upset tournaments (2000) (7)
A Simple Proof of Fiedler's Conjecture Concerning Orthogonal Matrices (1997) (7)
Short Score Certificates for Upset Tournaments (1998) (7)
Nonexistence Results for Hadamard-like Matrices (2004) (7)
Properties of Tournaments Among Well-Matched Players (2000) (7)
On biclique decompositions of complete t-partite graphs (1995) (7)
Special Issue on the Combinatorial Matrix Theory Conference (2003) (6)
(±1)-Invariant sequences and truncated Fibonacci sequences (2005) (6)
Non-existence of 5X5 full ray nonsingular matrices (2004) (6)
Maximal P-sets of matrices whose graph is a tree (2015) (6)
On biclique partitions of the complete graph (1993) (6)
Maximum generic nullity of a graph (2010) (6)
On graphs of minimum skew rank 4 (2016) (6)
Conditional sign-solvability (1993) (6)
The Enhanced Principal Rank Characteristic Sequence for Hermitian Matrices (2017) (6)
Spectrally arbitrary pattern extensions (2016) (5)
Integrally normalizable matrices and zero–nonzero patterns (2014) (5)
Matrices of sign-solvable linear systems: Related topics (1995) (5)
Nearly positive matrices (2014) (5)
Fastest mixing Markov chain problem for the union of two cliques (2011) (5)
On multipartite tournament matrices with constant team size (1993) (4)
Sparsity of orthogonal matrices with restrictions (2000) (4)
All pairs suffice for a P-set (2015) (3)
Sign-Solvable Cone-Systems (2002) (3)
Unordered multiplicity lists of a class of binary trees (2013) (3)
The Inverse Eigenvalue Problem of a Graph (2019) (3)
Sparse orthogonal matrices (2003) (3)
The minimum number of distinct eigenvalues among the symmetric matrices with a given graph (2004) (3)
Corrigendum to “Companion matrix patterns” [Linear Algebra Appl. 463 (2014) 255–272] (2018) (3)
Rank decompositions and signed bigraphs (1996) (3)
SCHEDULING CONFLICT-FREE PARTIES FOR A DATING SERVICE (1997) (3)
Rigid Linkages and Partial Zero Forcing (2018) (3)
The Inverse Eigenvalue Problem of a Graph, Zero Forcing, and Related Parameters (2020) (3)
Sparse spectrally arbitrary patterns (2015) (3)
Matrices of sign-solvable linear systems: S2NS-matrices (1995) (3)
Cutsets in bipartite graphs (1993) (2)
The λ − τ structured inverse eigenvalue problem (2015) (2)
Notes on the 2 n-conjecture ∗ (2006) (2)
On Matrices with Signed Null-Spaces (2002) (2)
The bifurcation lemma for strong properties in the inverse eigenvalue problem of a graph (2021) (2)
Sign patterns of orthogonal matrices and the strong inner product property (2019) (2)
A (0,1)-matrix existence theorem and equivalent tiling problems with dimers and monomers (2015) (1)
Generic maximum nullity of a graph (2008) (1)
Permanents of Hessenberg (0, 1)-matrices (2005) (1)
Resolution of Conjectures Related to Lights Out! and Cartesian Products (2018) (1)
Theory and applications of matrices described by patterns: Preface and workshop report (2012) (1)
Convertible, Nearly Decomposable and Nearly Reducible Matrices (1993) (1)
Bipartite Graphs and Matrices (2006) (1)
EVEN AND ODD TOURNAMENT MATRICES WITH MINIMUM RANK OVER FINITE FIELDS (2011) (1)
Biclique partitions and tournaments (1990) (1)
CONSTRUCTIONS FOR THE SPARSEST ORTHOGONAL MATRICES (1999) (1)
Matrices of 0's and 1's with restricted permanental minors (1991) (0)
Matrices of sign-solvable linear systems: Preface (1995) (0)
Riordan-Krylov matrices over an algebra (2021) (0)
ELA ON DETERMINING MINIMAL SPECTRALLY ARBITRARY PATTERNS (2005) (0)
Sign-solvability and digraphs (1995) (0)
Permanents of woven matrices (2003) (0)
A sign pattern that allows oppositely signed orthogonal matrices (2012) (0)
Sign patterns that require a positive or nonnegative left inverse. (2008) (0)
ELA NON-EXISTENCE OF 5 × 5 FULL RAY-NONSINGULAR MATRICES (2019) (0)
All pairs suffice (2014) (0)
List of Reviewers (2012) (0)
Beyond S* -matrices (1995) (0)
Preface special volume on the Conference on Graph Theory, Matrix Theory and Interactions (2015) (0)
Matrices of sign-solvable linear systems: The inverse sign pattern graph (1995) (0)
Preface to the 11th ILAS Conference Proceedings, Coimbra 2004 (2006) (0)
Review of Combinatorial Matrix Theory by Richard A. Brualdi and Herbert J. Ryser (1992) (0)
Research experiences in linear algebra and number theory for undergraduate faculty (2014) (0)
Proceedings of the 2004 workshop on directions in combinatorial matrix theory, Banff, Canada, May 7--8, 2004. (2005) (0)
Permanents of Hessenberg (0,1)-matrices revisited (2010) (0)
Matrices of sign-solvable linear systems: Master bibliography (1995) (0)
Note from Editor-in-chief (2013) (0)
Integrally normalizable matrices with respect to a given set (2016) (0)
Thanks to Referees (2011) (0)
Quantitative Reasoning: Perspective from STEM Faculty (2012) (0)
Sparse spectrally arbitrary patterns Brydon (2017) (0)
Properties of a q-Analogue of Zero Forcing (2020) (0)
ELA EVEN AND ODD TOURNAMENT MATRICES WITH MINIMUM RANK OVER FINITE FIELDS (2011) (0)
Matrices of sign-solvable linear systems: Sign-solvability (1995) (0)
Sign-nonsingular matrices and orthogonal sign-patterns (1998) (0)
Correction to: Properties of a q-Analogue of Zero Forcing (2018) (0)
Extremal properties of L-matrices (1995) (0)
Preparing for NGSS: Using Mathematics and Computational Thinking (2012) (0)
Set-systems with signed solutions (2003) (0)
A ug 2 01 8 Rigid linkages and partial zero forcing (2018) (0)
Discovery/Computational Science (2014) (0)
A ug 2 00 5 Smith Normal Form and Acyclic Matrices (2008) (0)
Thanks to referees (2010) (0)

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