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邻接树图是哈密尔顿图猜想的一个等价命题

张兰菊

应用数学2000,Vol.13Issue(4):124-129,6.
应用数学2000,Vol.13Issue(4):124-129,6.

邻接树图是哈密尔顿图猜想的一个等价命题

An Equivalent Proposition to the Conjecture on the Hamiltonicity of Adjacency Tree Graphs

张兰菊1

作者信息

  • 1. 山东大学数学院,济南 山东 250100
  • 折叠

摘要

Abstract

This paper presents an equivalent proposition of a conjecture stating that the adjacency tree graph of a simple graph is Hamiltonian. This proposition shows that we can restrict the simple graph in the conjectture to a block. Moreover, the conjecture in the case of a block with cyclomatic number 2 is confirmed by constructing a Hamilton cycle.

关键词

邻接树图/哈密尔顿图

Key words

Adjacency tree graph/Hamilton cycle

分类

数理科学

引用本文复制引用

张兰菊..邻接树图是哈密尔顿图猜想的一个等价命题[J].应用数学,2000,13(4):124-129,6.

基金项目

This work is supported by NNSF of China(69772017)RFDP of Higher Education(97042207) (69772017)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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