Infinite Families of Circular and Möbius Ladders that are Total Domination Game Critical

Infinite Families of Circular and Möbius Ladders that are Total Domination Game Critical
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DOI:
10.1007/s40840-018-0635-8
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发表时间:
2018-05
影响因子:
1.2
通讯作者:
Michael A. Henning;S. Klavžar
Michael A. Henning;S. Klavžar
中科院分区:
数学3区
文献类型:
--
作者:
Michael A. Henning;S. Klavžar

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Letdenote the game total domination number of a graphG, and letG|vmean that a vertexvofGis declared to be already totally dominated. A graphGis total domination game critical ifholds for every vertexvinG. If, thenGis further calledk--critical. In this paper, we prove that the circular ladderis 4k--critical and that the Möbius ladderis 2k--critical.