Work

Alternating Paths in Oriented Graphs with Large Semidegree

Year: 2025

Type: article

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.

Source: The Electronic Journal of Combinatorics

DOI: 10.37236/13084

Authors: Jozef Skokan, Mykhaylo Tyomkyn

Institutions: London School of Economics and Political Science, Charles University

Language: English

Topic: Limits and Structures in Graph Theory

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Grantová Agentura České Republiky, H2020 European Research Council

Awards: Dynamics and Structure of Networks, Combinatorial and computational complexity in topology and geometry