A characterization of 1-cycle resonant graphs among bipartite 2-connected plane graphs
نویسندگان
چکیده
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 G is alternating and each inner vertex has degree two. This extends a result from [X. Guo, F. Zhang, k-cycle resonant graphs, Discrete Math. 135 (1994) 113-120] that a hexagonal system is 1-cycle resonant if and only if it is catacondensed.
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ورودعنوان ژورنال:
- Discrete Applied Mathematics
دوره 160 شماره
صفحات -
تاریخ انتشار 2012