Hamiltonicity of edge-chromatic critical graphs

被引：1
|
作者：
Cao, Yan [1 ]
Chen, Guantao [1 ]
Jiang, Suyun [2 ]
Liu, Huiqing [3 ]
Lu, Fuliang [4 ]
机构：
[1] Georgia State Univ, Dept Math & Stat, Atlanta, GA 30303 USA
[2] Jianghan Univ, Inst Interdisciplinary Res, Wuhan 430056, Hubei, Peoples R China
[3] Hubei Univ, Fac Math & Stat, Hubei Key Lab Appl Math, Wuhan 430062, Hubei, Peoples R China
[4] Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Peoples R China
来源：
DISCRETE MATHEMATICS | 2020年 / 343卷 / 07期
关键词：
Edge-k-coloring; Edge-critical graphs; Hamiltonicity; CONJECTURE;
D O I：
10.1016/j.disc.2020.111881
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given a graph G, denote by Delta(G) and chi'(G) the maximum degree and the chromatic index of G, respectively. A simple graph G is called edge-Delta-critical if Delta(G) = Delta, chi'(G) = Delta + 1 and chi'(H) <= Delta for every proper subgraph H of G. We prove that every edge-A-critical graph of order n with maximum degree at least 2n/3+ 12 is Hamiltonian. (C) 2020 Elsevier B.V. All rights reserved.
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页数：16
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