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L(2,1)-labeling of flower snark and related graphs

Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2013-07-01

Journal: ARS COMBINATORIA

Included Journals: Scopus、SCIE

Volume: 110

Page Number: 505-512

ISSN: 0381-7032

Key Words: L(2,1)-labeling; L(2,1)-labeling number; Flower snark

Abstract: An L(2, 1)-labeling of a graph G is an assignment of nonnegative integers to the vertices of G such that adjacent vertices get numbers at least two apart, and vertices at distance two get distinct numbers. The L(2, 1)-labeling number of G, lambda(G), is the minimum range of labels over all such labelings. In this paper, we determine the lambda-numbers of flower snark and its related graphs for all n >= 3.

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