EDGE CONDITION FOR A HAMILTONIAN BIPARTITE GRAPH TO BE BIPANCYCLIC

Zhi Quan HU

系统科学与复杂性(英文) ›› 2003, Vol. 16 ›› Issue (4) : 527-532.

PDF(283 KB)
PDF(283 KB)
系统科学与复杂性(英文) ›› 2003, Vol. 16 ›› Issue (4) : 527-532.
论文

EDGE CONDITION FOR A HAMILTONIAN BIPARTITE GRAPH TO BE BIPANCYCLIC

    Zhi Quan HU
作者信息 +

EDGE CONDITION FOR A HAMILTONIAN BIPARTITE GRAPH TO BE BIPANCYCLIC

    Zhi Quan HU
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文章历史 +

摘要

Let G be a hamiltonian, bipartite graph on 2n vertices, where n>3. It isshown that if e(G)>n(n-1)/2 + 2 then G contains cycles of every possible even length.This improves a result of Entringer and Schmeichel.

Abstract

Let G be a hamiltonian, bipartite graph on 2n vertices, where n > 3. It is shown that if e(G) > n(n -1)/2 + 2 then G contains cycles of every possible even length. This improves a result of Entringer and Schmeichel.

关键词

Bipartite graph / bipancyclic / hamiltonian

Key words

Bipartite graph / bipancyclic / hamiltonian

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Zhi Quan HU. EDGE CONDITION FOR A HAMILTONIAN BIPARTITE GRAPH TO BE BIPANCYCLIC. 系统科学与复杂性(英文), 2003, 16(4): 527-532
Zhi Quan HU. EDGE CONDITION FOR A HAMILTONIAN BIPARTITE GRAPH TO BE BIPANCYCLIC. Journal of Systems Science and Complexity, 2003, 16(4): 527-532
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