Article ID Journal Published Year Pages File Type
421239 Discrete Applied Mathematics 2012 4 Pages PDF
Abstract

It is proved that a bipartite 2-connected plane graph in which the common boundary of adjacent faces is a simple curve is 1-cycle resonant if and only if the outer face of GG is alternating and each inner vertex has degree two. This extends a result from [X. Guo, F. Zhang, kk-cycle resonant graphs, Discrete Math. 135 (1994) 113–20] that a hexagonal system is 1-cycle resonant if and only if it is catacondensed.

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