Edge contraction and cop-win critical graphs
نویسندگان
چکیده
The problem is to determine the number of ‘cops’ needed to capture a ‘robber’ where the game is played with perfect information, the different sides moving alternately. The cops capture the robber when one of them occupies the same vertex as the robber at any time in the game. A copwin graph is one in which one cop can always capture the robber. A graph is cop-win edge-critical with respect to edge contraction (CECC) when the original graph is not cop-win, but the contraction of any edge results in a cop-win graph. In this paper, classes of CECC graphs are determined, and k-regular CECC are characterized for k ≤ 4.
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ورودعنوان ژورنال:
- Australasian J. Combinatorics
دوره 63 شماره
صفحات -
تاریخ انتشار 2015