On subdivisions of oriented cycles in Hamiltonian digraphs with small chromatic number

被引：0
|
作者：
Ghazal, Salman [1 ,2 ,3 ]
Tfaili, Sara [1 ,2 ]
机构：
[1] Lebanese Int Univ, Dept Math & Phys, LIU, Beirut, Lebanon
[2] Int Univ Beirut, Dept Math & Phys, BIU, Beirut, Lebanon
[3] Lebanese Univ, Fac Sci 1, Dept Math, Beirut, Lebanon
来源：
COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION | 2024年
关键词：
oriented cycle; Hamiltonian; chromatic number; subdivision; 2; BLOCKS; PATHS;
D O I：
10.22049/cco.2024.29517.2036
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Cohen et al. conjectured that for each oriented cycle C , there is a smallest positive integer f ( C ) such that every f ( C )-chromatic strong digraph contains a subdivision of C . Let C be an oriented cycle on n vertices. For the class of Hamiltonian digraphs, El Joubbeh proved that f ( C ) <= 3n . In this paper, we improve El Joubbeh's result by showing that f( C ) <= 2n for the class of Hamiltonian digraphs.
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页数：8
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