Optimal Chromatic Bound for (P3 ∨ P2, House)-Free Graphs

被引：0
|
作者：
Li, Rui [1 ]
Li, Jinfeng [1 ]
Wu, Di [2 ]
机构：
[1] Hohai Univ, Sch Math, 8 West Focheng Rd, Nanjing 211100, Peoples R China
[2] Nanjing Inst Technol, Dept Math & Phys, 1 Hongjing Ave, Nanjing 211167, Peoples R China
来源：
GRAPHS AND COMBINATORICS | 2025年 / 41卷 / 01期
关键词：
Chromatic number; Clique number; chi-binding function; (P-3 boolean OR P-2)- freegraphs; CHI;
D O I：
10.1007/s00373-025-02894-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let F and H be two vertex disjoint graphs. The union F U H is the graph with V(F boolean OR H) = V(F) boolean OR V(H) and E(F boolean OR H) = E(F) boolean OR E(H). We use P-k to denote a path on k vertices and use house to denote the complement of P-5 . In this paper, we show that if G is a (P-3 boolean OR P-2 , house)-free graph, then chi(G) <= 2 omega (G) . Moreover, this bound is optimal when omega(G) >= 2.
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页数：15
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