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(2)-pancyclic graphs. (English) Zbl 1262.05090
Summary: We introduce the class of (2)-pancyclic graphs, which are simple undirected finite connected graphs of order \(n\) having exactly two cycles of length \(p\) for each \(p\) satisfying \(3\leq p\leq n\), analyze their properties, and give several examples of such graphs, among which are the smallest.

MSC:
05C38 Paths and cycles
05C40 Connectivity
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