TM
Trent G. Marbach
math.COcs.DMcs.SI
On Valency
published · living versionsW_7hpuahbx·v1 · currentpublished
The Iterated Local Transitivity Model for oriented graphs
with Anthony Bonato, MacKenzie Carr, Ketan Chaudhary, Teddy Mishura
1 version
Preprints & journals
32 papers in the corpus · 2014–2026Burning Steiner triple systems2608.25627v1 · Andrea C. Burgess, Peter H. Danziger, Caleb W. Jones et al.2026 · 0 citationsarXiv
Cooling graph products2606.12330v1 · Anthony Bonato, MacKenzie Carr, Caleb Jones et al.2026 · 0 citationsarXiv
The Iterated Local Model for tournaments2601.23246v1 · Anthony Bonato, MacKenzie Carr, Ketan Chaudhary et al.2026 · 0 citationsarXiv
Between burning and cooling: liminal burning on graphs2505.10727v1 · Anthony Bonato, Trent G. Marbach, John Marcoux et al.2025 · 0 citationsarXiv
Hypergraph burning, matchings, and zero forcing2412.04389v1 · Anthony Bonato, Caleb Jones, Trent G. Marbach et al.2024 · 2 citationsarXiv
Cuts, Cats, and Complete Graphs2409.13685v1 · Rylo Ashmore, Danny Dyer, Trent Marbach et al.2024 · 0 citationsarXiv
How to burn a Latin square2407.20370v1 · Anthony Bonato, Caleb Jones, Trent G. Marbach et al.2024 · 1 citationarXiv
The isoperimetric peak of complete trees2406.12989v1 · Anthony Bonato, Lazar Mandic, Trent G. Marbach et al.2024 · 0 citationsarXiv
Locally finite graphs and their localization numbers2404.02409v1 · Anthony Bonato, Florian Lehner, Trent G. Marbach et al.2024 · 0 citationsarXiv
Tic-Tac-Toe on Designs2402.11118v1 · Peter Danziger, Melissa A. Huggan, Rehan Malik et al.2024 · 0 citationsarXiv
How to cool a graph2401.03496v1 · Anthony Bonato, Trent G. Marbach, Holden Milne et al.2024 · 1 citationarXiv
The -visibility Localization Game2311.01582v1 · Anthony Bonato, Trent G. Marbach, John Marcoux et al.2023 · 0 citationsarXiv
The one-visibility Localization game2301.03534v1 · Anthony Bonato, Trent G. Marbach, Michael Molnar et al.2023 · 1 citationarXiv
The Localization Game on Directed Graphs2208.07788v1 · Anthony Bonato, Ryan Cushman, Trent G. Marbach et al.2022 · 0 citationsarXiv
Iterative models for complex networks formed by extending cliques2205.04918v1 · Anthony Bonato, Ryan Cushman, Trent G. Marbach et al.2022 · 0 citationsarXiv
On Meyniel extremal families of graphs2201.08719v1 · Anthony Bonato, Ryan Cushman, Trent G. Marbach2022 · 0 citationsarXiv
Pursuit-evasion games on latin square graphs2109.14669v1 · Shreya Ahirwar, Anthony Bonato, Leanna Gittins et al.2021 · 0 citationsarXiv
The localization capture time of a graph2105.09806v1 · Natalie C. Behague, Anthony Bonato, Melissa A. Huggan et al.2021 · 6 citationsarXiv
Subgraph Games in the Semi-Random Graph Process and Its Generalization to Hypergraphs2105.07034v4 · Natalie C. Behague, Trent G. Marbach, Pawel Pralat et al.2021 · 7 citationsarXiv
Rainbow Thresholds2104.05629v8 · Tolson Bell, Alan Frieze, Trent G. Marbach2021 · 0 citationsarXiv
Progress on the localization number of a graph2103.10587v1 · Anthony Bonato, Melissa A. Huggan, Trent G. Marbach2021 · 0 citationsarXiv
The iterated local transitivity model for hypergraphs2101.12560v1 · Natalie C. Behague, Anthony Bonato, Melissa A. Huggan et al.2021 · 11 citationsarXiv
Tight Bounds on the Probabilistic Zero Forcing on Hypercubes and Grids2012.00216v2 · Natalie C. Behague, Trent Marbach, Pawel Pralat2020 · 2 citationsarXiv
Tic-Tac-Toe on an Affine Plane of order 42009.11363v2 · Peter Danziger, Melissa A. Huggan, Rehan Malik et al.2020 · 1 citationAustralasian Journal of Combinatorics, Volume 82(1) (2022), Pages 21-30
The localization number and metric dimension of graphs of diameter 22008.04896v1 · Anthony Bonato, Melissa A. Huggan, Trent Marbach2020 · 5 citationsarXiv
The localization number of designs2005.12780v1 · Anthony Bonato, Melissa A. Huggan, Trent Marbach2020 · 11 citationsarXiv
The Game of Cops and Eternal Robbers2003.03791v2 · Anthony Bonato, Melissa Huggan, Trent Marbach et al.2020 · 2 citationsarXiv
The Iterated Local Directed Transitivity Model for Social Networks1912.08924v3 · Anthony Bonato, Daniel W. Cranston, Melissa Huggan et al.2019 · 9 citationsarXiv
Computing autotopism groups of partial Latin rectangles: a pilot study1910.10103v1 · Rebecca J. Stones, Ra'ul M. Falc'on, Daniel Kotlar et al.2019 · 6 citationsComputational and Mathematical Methods 3:3 (2021) paper e1094
Covers and partial transversals of Latin squares1712.02460v1 · Darcy Best, Trent Marbach, Rebecca J. Stones et al.2017 · 7 citationsDes. Codes Cryptogr. 87 (2019), 1109-1136
The Enumeration of Cyclic MNOLS1512.00997v2 · F. Demirkale, D.M. Donovan, J.I. Kokkala et al.2015 · 1 citationarXiv
On the intersection of three or four transversals of the back circulant latin square B_n1407.5174v2 · Trent Gregory Marbach2014 · 1 citationarXiv
Career total: 64 works. 32 are in this corpus.
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