Journal of applied mathematics & informatics
- Volume 19 Issue 1_2
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- Pages.537-543
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- 2005
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
5-CYCLABILITY IN INFINITE PLANAR GRAPHS
Abstract
A graph is k-cyclable if given k vertices there is a cycle that contains the k vertices. Sallee showed that every finite 3-connected planar graph is 5-cyclable. In this paper Sallee's result is extended to 3-connected infinite locally finite VAP-free plane graphs containing no unbounded faces.