Article ID Journal Published Year Pages File Type
420511 Discrete Applied Mathematics 2008 8 Pages PDF
Abstract

For any graph GG, let m(G)m(G) and i(G)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 GG, 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.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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