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On 4-connected, planar 4-almost pancyclic graphs. (English) Zbl 0681.05047
A k-almost pancylic graph is one in which there are cycles of all lengths except k. In this paper, constructive methods are used to demonstrate the existence of 4-connected planar 4-almost pancyclic graphs on v vertices for \(v=30,36,39,42,44,45,46\) and all \(v\geq 48\). In addition, it is shown that these are the only values of v for which such graphs exist.
Reviewer: R.E.L.Aldred
MSC:
05C40 Connectivity
05C38 Paths and cycles
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References:
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