在图形的相对度距离上,图形的相对度距离
Mingqiang An1, Yinan Zhang2, Kinkar Chandra Das3
1College of Science, Tianjin University of Science and Technology, Tianjin, 300457, PR China.
Heliyon
|July 17, 2023
概括
本研究引入了相互度距离来识别图形属性. 它建立了图形是哈密尔顿式,路径覆盖式或边缘哈密尔顿式的条件.
科学领域:
- 图形理论是指图形的理论.
- 离散数学是离散的数学.
- 网络分析 网络分析
背景情况:
- 互度度距离是一种新的图形度量.
- 了解图形结构在各种科学领域至关重要.
研究的目的:
- 为了建立足够的条件来识别特定的图形属性使用相互度距离.
- 在图形理论中探索互度度距离的应用.
主要方法:
- 定义一个连接的图形H的相互度距离.
- 利用图形理论概念和最短路径算法.
- 为哈密尔顿属性开发基于相互度距离的标准.
主要成果:
- 建立了足够的条件,使图形成为 ħ-哈密尔顿式.
- 还确定了图形可以覆盖 ħ 路径的条件.
- 成功推导出 ħ-边缘-哈密尔顿图的标准.
结论:
- 相互度距离是分析图形结构的有效工具.
- 这项研究为图形的哈密尔顿属性提供了宝贵的见解.
- 这项研究有助于推进图形理论和网络分析.
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