Maker Breaker on digraphs

被引：1

作者：

Frieze, Alan ^{[1
]}

Pegden, Wesley ^{[1
]}

机构：

[1] Carnegie Mellon Univ, Dept Math Sci, Pittsburgh, PA 15213 USA

来源：

JOURNAL OF GRAPH THEORY | 2021年 / 98卷 / 04期

关键词：

digraphs; Hamiltonicity; Maker-Breaker; strong connectivity;

D O I：

10.1002/jgt.22719

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study two biased Maker-Breaker games played on the complete digraph K -> n. In the strong connectivity game, Maker wants to build a strongly connected subgraph. We determine the asymptotic optimal bias for this game viz. n log n. In the Hamiltonian game, Maker wants to build a Hamiltonian subgraph. We determine the asymptotic optimal bias for this game up to a constant factor.

引用

页码：653 / 661

页数：9

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