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Dominic, Charles, Witkowski, Łukasz, Witkowski, Marcin. (1402). Cop-edge critical generalized Petersen and Paley graphs. , 8(2), 359-378. doi: 10.22049/cco.2022.27308.1229
Charles Dominic; Łukasz Witkowski; Marcin Witkowski. "Cop-edge critical generalized Petersen and Paley graphs". , 8, 2, 1402, 359-378. doi: 10.22049/cco.2022.27308.1229
Dominic, Charles, Witkowski, Łukasz, Witkowski, Marcin. (1402). 'Cop-edge critical generalized Petersen and Paley graphs', , 8(2), pp. 359-378. doi: 10.22049/cco.2022.27308.1229
Dominic, Charles, Witkowski, Łukasz, Witkowski, Marcin. Cop-edge critical generalized Petersen and Paley graphs. , 1402; 8(2): 359-378. doi: 10.22049/cco.2022.27308.1229

Cop-edge critical generalized Petersen and Paley graphs

Communications in Combinatorics and Optimization
مقاله 6، دوره 8، شماره 2، شهریور 2023، صفحه 359-378    اصل مقاله (410.33 K)
نوع مقاله: Original paper
شناسه دیجیتال (DOI): 10.22049/cco.2022.27308.1229
نویسندگان
Charles Dominic1؛ Łukasz Witkowski2؛ Marcin Witkowski* 2
1HRIST (Deemed to be university), Bengaluru-560029, Karnataka
2Adam Mickiewicz University, Poznan, Poland
چکیده
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. 
کلیدواژه‌ها
Cops and Robbers؛ vertex-pursuit games؛ Petersen graphs؛ Paley graphs
مراجع
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[9] D.M. Cardoso, C. Dominic, Ł. Witkowski, and M. Witkowski, On cops and robbers on GΞ and cop-edge critical graphs, Contrib. Discrete Math. 12, no. 2, 167–186.

[10] H.S.M. Coxeter, R. Frucht, and D.L. Powers, Zero-symmetric graphs: Trivalent graphical regular representations of groups, Academic Press, 2014.

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