Work

Long induced paths in expanders

Year: 2024

Type: article

Abstract: We prove that any bounded degree regular graph with sufficiently strong spectral expansion contains an induced path of linear length. This is the first such result for expanders, strengthening an analogous result in the random setting by Draganić, Glock, and Krivelevich. More generally, we find long induced paths in sparse graphs that satisfy a mild upper-uniformity edge-distribution condition.

Source: Combinatorics Probability Computing

DOI: 10.1017/s096354832400035x

Authors: Nemanja Draganić, Peter Keevash

Institution: University of Oxford

Language: English

Topic: Limits and Structures in Graph Theory

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,450

OpenAlex ID: W4404505985

FWCI:

Cites: 28

Cited by:

Related to: 10