Article ID Journal Published Year Pages File Type
1708356 Applied Mathematics Letters 2012 4 Pages PDF
Abstract

Fullerene graphs are 3-regular planar graphs whose faces are pentagons or hexagons. In this paper, we first compute the number of paths of low order in a fullerene. Then apply these numbers to obtain the number of independent sets of size kk and kk-matchings in fullerenes, when k=1,2,3,4k=1,2,3,4.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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