Claw-decomposition of Kneser Graphs

Autor: Sankari C, Sangeetha R, K. Arthi
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Transactions on Combinatorics, Vol 11, Iss 1, Pp 53-61 (2022)
Druh dokumentu: article
ISSN: 2251-8657
2251-8665
DOI: 10.22108/toc.2021.126283.1792
Popis: 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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