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Resistance distance and Laplacian spectrum

✍ Scribed by Wenjun Xiao; Ivan Gutman


Book ID
105885583
Publisher
Springer
Year
2003
Tongue
English
Weight
235 KB
Volume
110
Category
Article
ISSN
1432-2234

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Let G be a graph and H a subgraph of G. In this paper, a set of pairwise independent subgraphs that are all isomorphic copies of H is called an H-matching. Denoting by Ξ½(H, G) the cardinality of a maximum H-matching in G, we investigate some relations between Ξ½(H, G) and the Laplacian spectrum of G.