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Locally snake-like graphs. (English) Zbl 0641.05031
A snake is a connected graph in which exactly two vertices have degree 1 and all others have degree 2. A graph with the property that the neighborhood graph of each vertex is a snake the said to be locally snake-like. Only finite, planar and 3-connected locally snake-like graphs are considered here. Such graphs are characterized and the largest size of such graphs of order n is determined.
Reviewer: R.C.Entringer
MSC:
05C38 Paths and cycles
05C35 Extremal problems in graph theory
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References:
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