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Sparse halves in K4‐free graphs.

Authors :
Liu, Xizhi
Ma, Jie
Source :
Journal of Graph Theory. Jan2022, Vol. 99 Issue 1, p5-25. 21p.
Publication Year :
2022

Abstract

A conjecture of Chung and Graham states that every K4‐free graph on n vertices contains a vertex set of size ⌊n∕2⌋ that spans at most n2∕18 edges. We make the first step toward this conjecture by showing that it holds for all regular graphs. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03649024
Volume :
99
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Graph Theory
Publication Type :
Academic Journal
Accession number :
153675115
Full Text :
https://doi.org/10.1002/jgt.22722