The Schultz Index and Schultz Polynomial of the Jahangir Graphs <i>J </i>_{5, <i>m </i>}

Let G be simple connected graph with the vertex and edge sets V (G) and E (G), respectively. The Schultz and Modified Schultz indices of a connected graph G are defined as and , where d (u, v) is the distance between vertices u and v?;dv is the degree of vertex v of G. In this paper, computation of the Schultz and Modified Schultz indices of the Jahangir graphs J5,m is proposed.

Schultz Polynomials and Their Topological Indices of Jahangir Graphs J2,m

Let G = (V;E) be a simple connected graph. The Wiener index is the sum of distances between all pairs of vertices of a connected graph. The Schultz topological index is equal to and the Modified Schultz topological index is . In this paper, the Schultz, Modified Schultz polynomials and their topological indices of Jahangir graphs J2,m for all integer number m ≥ 3 are calculated.

Thorn树和Thorn环的Schultz指标

1998年Gutman提出了thorn图的概念,而Bonchev与Klein则给出广义的Thorn图并给出Thorn树、Thorn星、Thorn环和Thorn路的Wiener指标公式。本文利用图的对称性得到广义的thorn图(Thorn树、Thorn环)的Schultz指标与Wiener指标的关系,进一步给出这些广义的thorn图的Schultz指标。

关于Mycielski图补图的一些指标的结果

拓扑指标是分子结构的数学描述符,它将分子的形状、大小、分支等结构特征数值化,且计算简便、取值客观,不易受经验和实验的影响,是数学与化学研究中非常活跃的领域之一。研究拓扑指标图不变量可用于描述和预测有机化合物的理化或药理性质。文章研究Mycielski图的补图的两类度距离指标:Schultz指标和修正的Schultz指标。同时,还给出了一些特殊图的Mycielski图及其补图的Lanzhou指标的表达式。

Mycielskian图的拓扑指数的相关结果

拓扑指数图不变量的研究是目前化学图论中最活跃的研究领域之一,可用于描述和预测有机化合物的理化或药理性质.本文研究了Mycielski图的Schultz指数和修正的Schultz指数,并给出了Mycielski图的这两类指数的精确上界以及特殊图的相关结论.

关于仙人掌图拓扑指数的一个注记

设G(n,c)=K1∨(cK2∪(n-2c-1)K1),这里n≥2c+1且c≥1.本文考虑G(n,c)图的Schultz指数和Schultz修正指数.