报告题目:Brooks’ type theorem for indicated coloring game
报告人:Kenta Ozeki (Yokohama National University)
报告时间:2024年5月29日(周三)15:00-16:00
报告地点:20-200
报告摘要:An indicated coloring game on a graph G is a variant of a coloring game, which is played by two players, Ann and Ben, with a fixed color set. In each round, Ann indicates an uncolored vertex and then Ben assigns to the vertex a color that has not been assigned to any of its neighbors. Ann aims to achieve a proper coloring of G, while Ben tries to prevent this. The minimum number of colors required for Ann to win the indicated coloring game on a graph $G$ is denoted by $χ_i(G)$. In this talk, we give a conjecture for a conneted graph $G$ to have $χ_i(G) \leq \Delta(G)$, and give some partial answers.
报告人简介:Kenta Ozeki(小关键太),1982年生,2009年毕业于日本庆应大学(Keio University),现为日本横浜国立大学副教授。Ozeki教授主要研究方向为图论,包括哈密尔顿圈,哈密尔顿路,支撑树。他是Graphs and Combinatorics,Theory and Applications of Graphs和Journal of Algebra Combinatorics Discrete Structures and Applications的编委。他在Combinatorics,JCTB, JCTA,CPC,SIDMA,JGT,SODA等杂志和会议期刊上发表论文110余篇。
邀请人:朱绪鼎