2 citations · 2 across the 3 of their papers we have counts for
4 papers
Peripherality in networks: theory and applications
Jesse Geneson, Shen-Fu Tsai
We investigate several related measures of peripherality and centrality for vertices and edges in networks, including the Mostar index which was recently introduced as a measure of…
Expected capture time and throttling number for cop versus gambler
Jesse Geneson, Carl Joshua Quines, Espen Slettnes +1
We bound expected capture time and throttling number for the cop versus gambler game on a connected graph with vertices, a variant of the cop versus robber game that is played…
Sharper bounds and structural results for minimally nonlinear 0-1 matrices
Jesse Geneson, Shen-Fu Tsai
The extremal function is the maximum possible number of ones in any 0-1 matrix with rows and columns that avoids . A 0-1 matrix is called minimally non-li…
Variations of the cop and robber game on graphs
Espen Slettnes, Carl Joshua Quines, Shen-Fu Tsai +1
We prove new theoretical results about several variations of the cop and robber game on graphs. First, we consider a variation of the cop and robber game which is more symmetric ca…