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给定最大度的树的(加权)Mostar指标

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给定一个连通图G,其Mostar指标Mo(G)=∑e=uv ∈ EG|nu(e)-nv(e)|,加权和Mostar指标w+Mo(G)=∑e=uv ∈ EG(dG(u)+dG(v))|nu(e)-nv(e)|,加权积 Mostar 指标 w*Mo(G)=∑e=uv ∈ EG(dG(u)·dG(v))|nu(e)-nv(e)|.通过变换和计算,分别给出了给定最大度的树的Mostar指标、加权和Mostar指标、加权积Mostar指标的下界,同时刻画了达到下界的极值图.
The(Weighted)Mostar Index of Tree with Given Maximum Degree
Given a connected graph G,the Mostar index is defined as Mo(G)=∑e=uv ∈ EG|nu(e)-nv(e)|,the additively weighted Mo-star index is defined as w+Mo(G)=∑e=uv ∈ EG(dG(u)+dG(v))|nu(e)-nv(e)|,the Multiplicatively weighted Mostar index is defined as w* Mo(G)=∑e=uv ∈ EG(dG(u)·dG(v))|nu(e)-nv(e)|.By transformation and calculation,the lower bound of Mostar index,addi-tively weighted Mostar index and multiplicatively weighted Mostar index of tree with given maximum degree are obtained,and the extre-mal graph is depicted.

Mostar indexweighted Mostar indextreemaximum degree

王敏

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淮北理工学院教育学院,安徽淮北 235000

Mostar指标 加权Mostar指标 最大度

2024

洛阳理工学院学报(自然科学版)
洛阳理工学院

洛阳理工学院学报(自然科学版)

影响因子:0.229
ISSN:1674-5043
年,卷(期):2024.34(4)