A Generalization of the Erdös-Ko-Rado Theorem

Details A Generalization of the Erdös-Ko-Rado Theorem A Generalization of the Erdös-Ko-Rado Theorem

2009-02-22

arxiv.org/abs/0902.3770v1

Mathematics

Combinatorics

Scientific paper

In this note, we investigate some properties of local Kneser graphs defined
in [8]. In this regard, as a generalization of the Erd${\rm \ddot{o}}$s-Ko-Rado
theorem, we characterize the maximum independent sets of local Kneser graphs.
Next, we present an upper bound for their chromatic number.

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