Claw-decomposition of Kneser Graphs

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Sankari C.; Sangeetha R.; Arthi K.

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Journal Paper

Paper Information

Journal: TRANSACTIONS ON COMBINATORICS Year:2022 | Volume:11 | Issue:1 Page(s): 53-61

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Information Journal Paper

Title

Claw-decomposition of Kneser Graphs

Author(s)

Sankari C. | Sangeetha R. | Arthi K. | Issue Writer Certificate

Keywords

‎Decomposition‎

‎Tensor Product‎

‎Kneser Graph‎

‎Crown Graph‎

‎Star

Abstract

A claw is a star with three edges‎. ‎The Kneser graph $KG_{n,2}$ is the graph whose vertices are the ‎$‎2‎$‎-subsets of an $n$-set‎, ‎in which two vertices are adjacent if and only if their intersection is empty‎. ‎In this paper‎, ‎we prove that $KG_{n,2}$ is claw-decomposable‎, ‎for all $n \geq 6$‎.

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