Cycle lengths in polytopal graphs

Cycle lengths in polytopal graphs
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多面图中的循环长度

DOI:
10.1007/bfb0070393
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发表时间:
1978
期刊:
Australas. J Comb.
影响因子:
--
通讯作者:
J. Malkevitch
J. Malkevitch
中科院分区:
--
文献类型:
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作者:
J. Malkevitch

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如果\(G\)是一个具有\(n\)个顶点的哈密顿\(3\)-多面体图,若\(G\)具有除长度为\(m\)(\(m\geq3\),\(m\lt n\))之外的所有长度的圈,则\(G\)将被称为阶为\(m\)的几乎泛圈图。给出了一些对于阶为\(m\)的几乎泛圈的\(3\)-价\(3\)-多面体图的构造,并且讨论了一些相关的结果和问题。
If G is a hamiltonian 3-polytopal graph with n vertices, G will be called almost pancyclic of order m (m ≥ 3, m < n) if G has cycles of all lengths other than m. Some constructions are given for 3-valent 3-polytopal graphs which are almost pancyclic of order m, and some related results and problems are discussed.