2016
DOI: 10.1155/2016/2053293
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Hosoya Index ofL-Type Polyphenyl Spiders

Abstract: The polyphenyl system is composed ofnhexagons obtained from two adjacent hexagons that are sticked by a path with two vertices. The Hosoya index of a graphGis defined as the total number of the independent edge sets ofG. In this paper, we give a computing formula of Hosoya index of a type of polyphenyl system. Furthermore, we characterize the extremal Hosoya index of the type of polyphenyl system.

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