%0 Journal Article
%T Cop-edge critical generalized Petersen and Paley graphs
%J Communications in Combinatorics and Optimization
%I Azarbaijan Shahid Madani University
%Z 2538-2128
%A Dominic, Charles
%A Witkowski, Łukasz
%A Witkowski, Marcin
%D 2023
%\ 06/01/2023
%V 8
%N 2
%P 359-378
%! Cop-edge critical generalized Petersen and Paley graphs
%K Cops and Robbers
%K vertex-pursuit games
%K Petersen graphs
%K Paley graphs
%R 10.22049/cco.2022.27308.1229
%X Cop Robber game is a two player game played on an undirected graph. In this game, the cops try to capture a robber moving on the vertices of the graph. The cop number of a graph is the least number of cops needed to guarantee that the robber will be caught. We study textit{cop-edge critical} graphs, i.e. graphs $G$ such that for any edge $e$ in $E(G)$ either $c(G-e)< c(G)$ or $c(G-e)>c(G)$. In this article, we study the edge criticality of generalized Petersen graphs and Paley graphs.
%U https://comb-opt.azaruniv.ac.ir/article_14372_cda32bc81b5eb18af77d2afc3c8e25cd.pdf