一种构造方法来确定两个花图变体的总顶点不规则强度
Nurdin Hinding1, Nurtiti Sunusi2, Sarti Mutmainnah3
1Graph Theory Research Group, Department of Mathematics, Faculty of Mathematics and Nature Sciences, Hasanuddin University, Jl. Perintis Kemerdekaan Km. 10, Makassar City, 90245, Indonesia.
MethodsX
|September 24, 2025
概括
这项研究引入了一种新的方法,用于在特定的花图中进行总顶点不规则标记. 它确定了修改的向日和花图的确切总顶点不规则强度,为类似的图结构提供了可复制的策略.
科学领域:
- 离散的数学 离散的数学
- 图形理论 图形理论
- 组合学是一种组合学.
背景情况:
- 图形标签是离散数学中的一个关键领域.
- 总顶点不规则标签要求在给顶点和边缘赋予标签后,需要不同的顶点重量.
- 调查特定图形类 (如花图) 的不规则标签是一个活跃的研究领域.
研究的目的:
- 开发一种用于确定两个花图变体的总顶点不规则强度的结构性方法.
- 分析修改的向日图和花图的总顶点不规则强度.
- 为具有相似结构性质的图形建立可复制的标签策略.
主要方法:
- 提出了对顶点和边缘赋予标签的建设性方法.
- 采用了明确的标签赋值,并验证了得到的顶点权重的区别.
- 分析了两个特定的花图变体,具有两个不同的顶点度.
主要成果:
- 确定修改的向日图的总顶点不规则强度为n/2 + 1.
- 计算了花花图的总顶点不规则强度为天花板 (n^2 - 2n + 2)/3).
- 突出指出,强度的差异是由于两个图的独特结构性质.
结论:
- 该研究成功地确定了研究的花图变体的确切总顶点不规则强度.
- 拟议的构造方法为不规则的图形标签提供了一个系统的方法.
- 结果有助于理解不规则图标的标记,并有潜在的应用在网络分析.
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