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Shaun M. Fallat · SciRah

Researcher profile · Semantic Scholar

Shaun M. Fallat

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Shaun M. Fallat — researcher profile on SciRah

h-index: 32
Works: 156
Citations: 3,676

Most-cited papers

Totally Nonnegative Matrices
Shaun M. Fallat, Charles R. Johnson
2011322 citations
Semantic Scholar
Parameters Related to Tree‐Width, Zero Forcing, and Maximum Nullity of a Graph
Francesco Barioli, W. Barrett, Shaun M. Fallat, H. Hall +4 more
2013Journal of Graph Theory158 citations Open access
Semantic Scholar
Skew-adjacency matrices of graphs
M. Cavers, S. Cioabă, Shaun M. Fallat, D. Gregory +4 more
201287 citations Open access
Semantic Scholar
Total positivity in Markov structures
Shaun M. Fallat, S. Lauritzen, Kayvan Sadeghi, Caroline Uhler +2 more
201583 citations Open access
Semantic Scholar
Minimum Rank, Maximum Nullity, and Zero Forcing Number of Graphs
Shaun M. Fallat, L. Hogben
201477 citations Open access
Semantic Scholar
Bipartiteness and the least eigenvalue of signless Laplacian of graphs
Shaun M. Fallat, Yi-Zheng Fan
201257 citations Open access
Semantic Scholar
Generalizations of the Strong Arnold Property and the Minimum Number of Distinct Eigenvalues of a Graph
W. Barrett, Shaun M. Fallat, H. Hall, L. Hogben +2 more
2015Electronic Journal of Combinatorics55 citations Open access
Semantic Scholar
Minimum number of distinct eigenvalues of graphs
B. Ahmadi, Fatehmeh Alinaghipour, M. Cavers, Shaun M. Fallat +2 more
201354 citations Open access
Semantic Scholar
Total positivity of sums, Hadamard products and Hadamard powers: Results and counterexamples
Shaun M. Fallat, Charles R. Johnson, A. Sokal
201642 citations Open access
Semantic Scholar
On the graph complement conjecture for minimum rank
Francesco Barioli, W. Barrett, Shaun M. Fallat, H. Hall +2 more
201237 citations Open access
Semantic Scholar
The inverse eigenvalue problem of a graph: Multiplicities and minors
W. Barrett, S. Butler, Shaun M. Fallat, H. Hall +4 more
2017J. Comb. Theory B36 citations Open access
Semantic Scholar
On the Complexity of the Positive Semidefinite Zero Forcing Number
Shaun M. Fallat, Karen Meagher, Bo-Ting Yang
201435 citations Open access
Semantic Scholar
Minimum Semidefinite Rank of Outerplanar Graphs and the Tree Cover Number
Francesco Barioli, Shaun M. Fallat, Lon H. Mitchell, S. Narayan
201134 citations Open access
Semantic Scholar
On Hadamard diagonalizable graphs
Sasmita Barik, Shaun M. Fallat, S. Kirkland
201127 citations Open access
Semantic Scholar
The principal rank characteristic sequence over various fields
W. Barrett, S. Butler, M. Catral, Shaun M. Fallat +4 more
201420 citations Open access
Semantic Scholar
Allow problems concerning spectral properties of patterns
M. Cavers, Shaun M. Fallat
201219 citations Open access
Semantic Scholar
The Enhanced Principal Rank Characteristic Sequence
S. Butler, M. Catral, Shaun M. Fallat, H. Hall +3 more
201617 citations Open access
Semantic Scholar
On the Relationships between Zero Forcing Numbers and Certain Graph Coverings
Fatemeh Alinaghipour Taklimi, Shaun M. Fallat, Karen Meagher
201316 citations Open access
Semantic Scholar
On Batch Teaching Without Collusion
Shaun M. Fallat, D. Kirkpatrick, H. Simon, Abolghasem Soltani +1 more
2023Journal of machine learning research13 citations
Semantic Scholar
On a relationship between the characteristic and matching polynomials of a uniform hypertree
Hong-Hai Li, Li Su, Shaun M. Fallat
2023Discrete Mathematics13 citations Open access
Semantic Scholar
The bifurcation lemma for strong properties in the inverse eigenvalue problem of a graph
Shaun M. Fallat, H. Hall, J. Lin, B. Shader
2021Linear Algebra and its Applications13 citations Open access
Semantic Scholar
Achievable multiplicity partitions in the inverse eigenvalue problem of a graph
Mohammad Adm, Shaun M. Fallat, Karen Meagher, S. Nasserasr +2 more
2019Special Matrices10 citations Open access
Semantic Scholar
Edge bipartiteness and signless Laplacian spread of graphs
Yiqun Fan, Shaun M. Fallat
201210 citations Open access
Semantic Scholar
Weakly Hadamard diagonalizable graphs
Mohammad Adm, Khawla Almuhtaseb, Shaun M. Fallat, Karen Meagher +3 more
20219 citations Open access
Semantic Scholar
Line graphs: Their maximum nullities and zero forcing numbers
Shaun M. Fallat, Abolghasem Soltani
2016Czechoslovak Mathematical Journal9 citations Open access
Semantic Scholar
The Erdős–Ko–Rado theorem for 2-intersecting families of perfect matchings
Shaun M. Fallat, Karen Meagher, M. N. Shirazi
2020Algebraic Combinatorics8 citations Open access
Semantic Scholar
Infection in hypergraphs
Ryan Bergen, Shaun M. Fallat, Adam Gorr, F. Ihringer +4 more
2016Discrete Applied Mathematics8 citations Open access
Semantic Scholar
On the minimum number of distinct eigenvalues of a threshold graph
Shaun M. Fallat, S. A. Mojallal
2021Linear Algebra and its Applications7 citations Open access
Semantic Scholar
The maximum nullity of a complete subdivision graph is equal to its zero forcing number
W. Barrett, S. Butler, M. Catral, Shaun M. Fallat +3 more
20147 citations Open access
Semantic Scholar
The enhanced principal rank characteristic sequence for skew-symmetric matrices
Shaun M. Fallat, D. Olesky, P. van den Driessche
20166 citations Open access
Semantic Scholar
Note on Nordhaus-Gaddum Problems for Colin de Verdière type Parameters
W. Barrett, Shaun M. Fallat, H. Hall, L. Hogben
2013Electronic Journal of Combinatorics6 citations Open access
Semantic Scholar
Inequalities for totally nonnegative matrices: Gantmacher–Krein, Karlin, and Laplace
Shaun M. Fallat, P. K. Vishwakarma
2023Linear Algebra and its Applications5 citations Open access
Semantic Scholar
Compressed cliques graphs, clique coverings and positive zero forcing
Shaun M. Fallat, Karen Meagher, Abolghasem Soltani, Bo-Ting Yang
2015Theoretical Computer Science5 citations Open access
Semantic Scholar
Minimum number of distinct eigenvalues of distance-regular and signed Johnson graphs
Shaun M. Fallat, Himanshu Gupta, Allen W. Herman, Johnna Parenteau
20244 citations
Semantic Scholar
Regular graphs of degree at most four that allow two distinct eigenvalues
W. Barrett, Shaun M. Fallat, Veronika Furst, S. Nasserasr +2 more
2023Linear Algebra and its Applications4 citations Open access
Semantic Scholar
Sparsity of graphs that allow two distinct eigenvalues
W. Barrett, Shaun M. Fallat, Veronika Furst, Franklin Kenter +4 more
2022Linear Algebra and its Applications4 citations Open access
Semantic Scholar
Corrigendum to “Achievable Multiplicity partitions in the Inverse Eigenvalue Problem of a graph” [Spec. Matrices 2019; 7:276-290.]
Mohammad Adm, Shaun M. Fallat, Karen Meagher, S. Nasserasr +2 more
2020Special Matrices4 citations Open access
Semantic Scholar
The Inverse Eigenvalue Problem of a Graph, Zero Forcing, and Related Parameters
Shaun M. Fallat, L. Hogben, J. Lin, B. Shader
2020Notices of the American Mathematical Society4 citations Open access
Semantic Scholar
Further applications of the Cauchon algorithm to rank determination and bidiagonal factorization
Mohammad Adm, Khawla Al Muhtaseb, Ayed Abedel Ghani, Shaun M. Fallat +1 more
20184 citations Open access
Semantic Scholar
Colin de Verdiere parameters of chordal graphs
Lon H. Mitchell, Shaun M. Fallat
20134 citations Open access
Semantic Scholar
Inverse Eigenvalue Problem for Laplacian Matrices of a Graph
Shaun M. Fallat, Himanshu Gupta, J. Lin
2024SIAM Journal on Matrix Analysis and Applications3 citations Open access
Semantic Scholar
Complex Hadamard diagonalisable graphs
Ada Chan, Shaun M. Fallat, S. Kirkland, J. Lin +2 more
20203 citations Open access
Semantic Scholar
Properties of a q-Analogue of Zero Forcing
S. Butler, Craig Erickson, Shaun M. Fallat, H. Hall +5 more
2018Graphs and Combinatorics3 citations Open access
Semantic Scholar
On the spread of certain normal matrices
Shaun M. Fallat, Y. Xing
20123 citations Open access
Semantic Scholar
The Strong Spectral Property of Graphs: Graph Operations and Barbell Partitions
Sarah Allred, Emelie Curl, Shaun M. Fallat, S. Nasserasr +3 more
2023Graphs and Combinatorics2 citations Open access
Semantic Scholar
Bordering of Symmetric Matrices and an Application to the Minimum Number of Distinct Eigenvalues for the Join of Graphs
A. Abiad, Shaun M. Fallat, Mark Kempton, R. Levene +4 more
2023Linear Algebra and its Applications2 citations Open access
Semantic Scholar
Spectral arbitrariness for trees fails spectacularly
Shaun M. Fallat, H. Hall, R. Levene, Seth A. Meyer +3 more
2023J. Comb. Theory B2 citations Open access
Semantic Scholar
On the zero forcing number of the complement of graphs with forbidden subgraphs
Emelie Curl, Shaun M. Fallat, Ryan Moruzzi, Carolyn Reinhart +1 more
2022Linear Algebra and its Applications2 citations Open access
Semantic Scholar
The quasi principal rank characteristic sequence
Shaun M. Fallat, Xavier Mart'inez-Rivera
2017Linear Algebra and its Applications2 citations Open access
Semantic Scholar
The Minimum Rank of Universal Adjacency Matrices
B. Ahmadi, Fatemeh Alinaghipour, Shaun M. Fallat, Yi-Zheng Fan +2 more
20112 citations Open access
Semantic Scholar

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