A ramsey-type theorem for multiple disjoint copies of induced subgraphs

Let k and ℓ be positive integers with ℓ ≤ k − 2. It is proved that there exists a positive integer c depending on k and ℓ such that every graph of order (2k−1−ℓ/k)n+c contains n vertex disjoint induced subgraphs, where these subgraphs are isomorphic to each other and they are isomorphic to one of fo...

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Bibliographic Details
Main Author: Nakamigawa Tomoki
Format: Article
Language:English
Published: University of Zielona Góra 2014-05-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1729