Disjoint induced subgraphs of the same order and size

Béla Bollobás, Teeradej Kittipassorn, Bhargav P. Narayanan, Alexander D. Scott

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

For a graph G, let f(. G) be the largest integer k such that there are two vertex-disjoint subgraphs of G each on k vertices, both inducing the same number of edges. We prove that f(. G). ≥. n/2. -. o(. n) for every graph G on n vertices. This answers a question of Caro and Yuster.

Original languageEnglish (US)
Pages (from-to)153-166
Number of pages14
JournalEuropean Journal of Combinatorics
Volume49
DOIs
StatePublished - Oct 1 2015
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics

Fingerprint

Dive into the research topics of 'Disjoint induced subgraphs of the same order and size'. Together they form a unique fingerprint.

Cite this