Alternating paths in oriented graphs with large semidegree

Skokan, Jozef ORCID: 0000-0003-3996-7676 and Tyomkyn, Mykhaylo (2025) Alternating paths in oriented graphs with large semidegree. Electronic Journal of Combinatorics. ISSN 1077-8926 (In Press)

Text (Alternating_paths) - Accepted Version Pending embargo until 1 January 2100. Download (230kB)

Abstract

In new progress on conjectures of Stein, and Addario-Berry, Havet, Linhares Sales, Reed and Thomassé, we prove that every oriented graph with all in- and out-degrees greater than 5k/8 contains an alternating path of length k. This improves on previous results of Klimošová and Stein, and Chen, Hou and Zhou.

Item Type:	Article
Divisions:	Mathematics
Subjects:	Q Science > QA Mathematics
Date Deposited:	08 Sep 2025 12:54
Last Modified:	11 Sep 2025 12:31
URI:	http://eprints.lse.ac.uk/id/eprint/129421

Actions (login required)

View Item