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math.CO2021
The Explorer-Director Game on Graphs
Pat Devlin, Erin Meger, Abigail Raz +1
The Explorer-Director game, first introduced by Nedev and Muthukrishnan, can be described as a game where two players -- Explorer and Director -- determine the movement of a token…
math.CO2019
Structure of the largest subgraphs of with a given matching number
Abigail Raz
This paper examines the structure of the largest subgraphs of the Erdős-Rényi random graph, , with a given matching number. This extends a result of Erdős and Gallai who,…
math.CO2019
Upper tail bounds for cycles
Abigail Raz
This paper examines bounds on upper tails for cycle counts in . For a fixed graph define to be the number of copies of in . It is a much…