Change Point of Variable Wiener Index
CHEN Zhilin
WANG Zhiyuan
LIN Ning
GAO Hongjie
JIA Zhen
WEI Fuyi
Abstract：Wiener index ,set up by Harold Wiener ,is an important topological index widely used in chemical research . The variable Wiener index is as the Wiener index improved by some people such as I .Gutman ,M .H .Liu ,with his partners , have proved the extremal graph of the trees'largest variable Wiener index ,when given the maximum degree Δ≥ n/2 .In this dissertation ,numerical calculation is used to study the variable Wiener index between tree F(n ,Δ) and H(n ,Δ) .Finally ,the change point λ0 is finally worked out ,which depicts the variable Wiener index between tree F(n ,Δ) and H(n ,Δ) ,as well as the change rule betweennand Δ,and extremal graph of the second largest (smallest) variable Wiener index when given the maximum degree .In particular ,the change rule when Δ< n/2 is figured out .
Keywords：variable wiener indextreesmaximum degreechange point
Publication Date：2014-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：7( 1113-1118,1149 )