An Improved Bound on the Chromatic Number of the Pancake Graphs

被引：0
|
作者：
Konstantinova, Elena [1 ]
Droogendijk, Leen
机构：
[1] Sobolev Inst Math, Novosibirsk 630090, Russia
来源：
DISCUSSIONES MATHEMATICAE GRAPH THEORY | 2024年 / 44卷 / 01期
关键词：
Pancake graph; chromatic number; equitable coloring; CODES;
D O I：
10.7151/dmgt.2432
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, an improved bound on the chromatic number of the Pancake graph P-n, n > 9, is presented. The bound is obtained using a subadditivity property of the chromatic number of the Pancake graph. We also investigate an equitable coloring of P-n. An equitable (n - 1)-coloring based on efficient dominating sets is given and optimal equitable 4-colorings are considered for small n. It is conjectured that the chromatic number of P-n coincides with its equitable chromatic number for any n > 2.
引用
收藏
页码：35 / 46
页数：12
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