Title

Disjoint induced subgraphs of the same order and size

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.

Publication Title

European Journal of Combinatorics

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