Extremal Hosoya index and Merrifield–Simmons index of hexagonal spiders

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Extremal Hosoya index and Merrifield-Simmons index of hexagonal spiders

For any graph G, let m(G) and i(G) be the numbers of matchings (i.e., the Hosoya index) and the number of independent sets (i.e., the Merrifield–Simmons index) of G, respectively. In this paper, we show that the linear hexagonal spider and zig-zag hexagonal spider attain the extremal values of Hosoya index and Merrifield–Simmons index, respectively. c © 2008 Elsevier B.V. All rights reserved.

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ژورنال

عنوان ژورنال: Discrete Applied Mathematics

سال: 2008

ISSN: 0166-218X

DOI: 10.1016/j.dam.2008.01.008