Shaun M. Fallat

According to our database, Shaun M. Fallat authored at least 23 papers between 2000 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of two.

2024

The Strong Spectral Property of Graphs: Graph Operations and Barbell Partitions.

Sarah Allred, Emelie Curl, Shaun M. Fallat, Shahla Nasserasr, Houston Schuerger, Ralihe R. Villagrán, Prateek K. Vishwakarma

Graphs Comb., February, 2024

Spectral arbitrariness for trees fails spectacularly.

Shaun M. Fallat, H. Tracy Hall, Rupert H. Levene, Seth A. Meyer, Shahla Nasserasr, Polona Oblak, Helena Smigoc

J. Comb. Theory B, 2024

On a relationship between the characteristic and matching polynomials of a uniform hypertree.

Honghai Li, Li Su, Shaun M. Fallat

Discret. Math., 2024

The q-analogue of zero forcing for certain families of graphs.

Shaun M. Fallat, Neha Joshi, Roghayeh Maleki, Karen Meagher, Seyed Ahmad Mojallal, Shahla Nasserasr, Mahsa N. Shirazi, Andriaherimanana Sarobidy Razafimahatratra, Brett Stevens

Discret. Appl. Math., 2024

Learning Hypertrees From Shortest Path Queries.

Shaun M. Fallat, Valerii Maliuk, Seyed Ahmad Mojallal, Sandra Zilles

Proceedings of the International Conference on Algorithmic Learning Theory, 2024

2023

On Batch Teaching Without Collusion.

Shaun M. Fallat, David G. Kirkpatrick, Hans Ulrich Simon, Abolghasem Soltani, Sandra Zilles

J. Mach. Learn. Res., 2023

2020

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, Michael Young

J. Comb. Theory B, 2020

Correction to: Properties of a q-Analogue of Zero Forcing.

Steve Butler, Craig Erickson, Shaun M. Fallat, H. Tracy Hall, Brenda Kroschel, Jephian C.-H. Lin, Bryan L. Shader, Nathan Warnberg, Boting Yang

Graphs Comb., 2020

Properties of a q-Analogue of Zero Forcing.

Steve Butler, Craig Erickson, Shaun M. Fallat, H. Tracy Hall, Brenda Kroschel, Jephian C.-H. Lin, Bryan L. Shader, Nathan Warnberg, Boting Yang

Graphs Comb., 2020

2019

The maximum multiplicity of the largest k-th eigenvalue in a matrix whose graph is acyclic or unicyclic.

Mohammad Adm, Shaun M. Fallat

Discret. Math., 2019

2018

Compressed cliques graphs, clique coverings and positive zero forcing.

Shaun M. Fallat, Karen Meagher, Abolghasem Soltani, Boting Yang

Theor. Comput. Sci., 2018

Infection in hypergraphs.

Ryan Bergen, Shaun M. Fallat, Adam Gorr, Ferdinand Ihringer, Karen Meagher, Alison Purdy, Boting Yang, Guanglong Yu

Discret. Appl. Math., 2018

2017

Generalizations of the Strong Arnold Property and the Minimum Number of Distinct Eigenvalues of a Graph.

Wayne Barrett, Shaun M. Fallat, H. Tracy Hall, Leslie Hogben, Jephian C.-H. Lin, Bryan L. Shader

Electron. J. Comb., 2017

2016

Positive Zero Forcing and Edge Clique Coverings.

Shaun M. Fallat, Karen Meagher, Abolghasem Soltani, Boting Yang

Proceedings of the Frontiers in Algorithmics, 10th International Workshop, 2016

2014

The Complexity of the Positive Semidefinite Zero Forcing.

Shaun M. Fallat, Karen Meagher, Boting Yang

Proceedings of the Combinatorial Optimization and Applications, 2014

2013

Parameters Related to Tree-Width, Zero Forcing, and Maximum Nullity of a Graph.

Francesco Barioli, Wayne Barrett, Shaun M. Fallat, H. Tracy Hall, Leslie Hogben, Bryan L. Shader, Pauline van den Driessche, Hein van der Holst

J. Graph Theory, 2013

Note on Nordhaus-Gaddum Problems for Colin de Verdière type Parameters.

Wayne Barrett, Shaun M. Fallat, H. Tracy Hall, Leslie Hogben

Electron. J. Comb., 2013

2006

Compressions of Totally Positive Matrices.

Shaun M. Fallat, Allen Herman, Michael I. Gekhtman, Charles R. Johnson

SIAM J. Matrix Anal. Appl., 2006

2005

On graphs whose Laplacian matrices have distinct integer eigenvalues.

Shaun M. Fallat, Stephen J. Kirkland, Jason J. Molitierno, Michael Neumann

J. Graph Theory, 2005

2003

Multiplicative principal-minor inequalities for totally nonnegative matrices.

Shaun M. Fallat, Michael I. Gekhtman, Charles R. Johnson

Adv. Appl. Math., 2003

2002

Minimizing algebraic connectivity over connected graphs with fixed girth.

Shaun M. Fallat, Steve Kirkland, Sukanta Pati

Discret. Math., 2002

2001

Bidiagonal Factorizations of Totally Nonnegative Matrices.

Shaun M. Fallat

Am. Math. Mon., 2001

2000

Spectral Structures of Irreducible Totally Nonnegative Matrices.

Shaun M. Fallat, Michael I. Gekhtman, Charles R. Johnson

SIAM J. Matrix Anal. Appl., 2000