一些图运算的调和指标与调和多项式的线图

米热古丽·外力

doi:10.13568/j.cnki.651094.651316.2020.06.15.0001

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一些图运算的调和指标与调和多项式的线图

更新时间：2026-01-21

- 一些图运算的调和指标与调和多项式的线图
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 38, Issue 5, Pages: 540-548(2021)
- 作者机构：
  
  新疆财经大学统计与数据科学学院
- 作者简介：
- 基金信息：
- DOI：10.13568/j.cnki.651094.651316.2020.06.15.0001
  CLC： O157.5
- Published：2021
- 稿件说明：
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[1]米热古丽·外力.一些图运算的调和指标与调和多项式的线图[J].新疆大学学报(自然科学版)(中英文),2021,38(05):540-548.
[1]米热古丽·外力.一些图运算的调和指标与调和多项式的线图[J].新疆大学学报(自然科学版)(中英文),2021,38(05):540-548. DOI： 10.13568/j.cnki.651094.651316.2020.06.15.0001.

DOI：10.13568/j.cnki.651094.651316.2020.06.15.0001.

摘要

本文给出了边意义下调和指标及调和多项式关于笛卡儿积、Corona积、联图、笛卡儿和以及字典积等图运算的计算公式.边意义下的该指标关于上述运算中图的若干上下界是基于凸函数积分的已知结果得到的.

Abstract

In this paper we computed explicit formulas for the edge version of harmonic index and harmonic polynomial of many well known classes of graph Operations: Cartesian product

Corona product

join

Cartesian sum and lexicographic product. Some upper and lower bounds for the edge harmonic indices of these operations of graphs

in terms of related indices

are derived from known bounds on the integral of a product on nonnegative convex functions.

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references

BERTZ S H.The bond graph[J].Chemical Society,Chemical Communications,1995,24:2473-2670.

GUTMAN I,FURTULA B.Recent results in the theory of Randíc index[M].Kragujevac:University of Kragujevac and Faculty of Science,2008:282.

GUTMAN I,ESTRADA E.Topological indices based on the line graph of the molecular graph[J].Chemical Information and Modeling,1996,36(3):541-543.

IRANMANESH A,GUTMAN I,KHORMALI O,et al.The edge versions of the Wiener index[J].MATCH Communications in Mathematical and in Computer Chemistry,2009,61(3):663-672.

GUTMAN I,POPOVIC L,MISHRA B K,et al.Application of line graphs in physical chemistry[J].Predicting Surface Tension of Alkanes Serbian Chemical Society,1997,62(11):1025-1029.

GUTMAN I,TOMOVIC Z.On the application of line graphs in quantitative structure property studies[J].Serbian Chemical Society,2000,65:577-580.

GUTMAN I,TOMOVIC Z.Modeling boiling points of cycloalkanes by means of iterated line graph sequences[J].Chemical Information and Computer Sciences,2001,41(4):1041-1045.

LI X L,SHI Y T.A survey on the Randic index[J].MATCH Communications in Mathematical and in Computer Chemistry,2008,59:127-156.

GUTMAN I,FURTULA B.Recent results in the theory of randíc index[J].MATCH Communications in Mathematical and in Computer Chemistry,2008,9-47.

NADEEM M F,ZAFAR S,ZAHID Z.Certain topological indicies of the line graph of subdivsion graphs[J].Applied Mathematics and Computation,2015,271:790-794.

NADEEM M F,ZAFAR S,ZAHID Z.On topological properties of the line graph of sub-division graphs of certain nanostructures[J].Applied Mathematics and Computation,2016,273:125-130.

RADA J,CRUZ R.Vertex-degree-based topological indices over graphs[J].Applied Mathematics and Computing,2014,48(1/2):603-616.

YU G H,FENG L H.On connective eccentricity index of graphs[J].MATCH Communications in Mathematical and in Computer Chemistry,2013,69(3):611-628.

FAJTLOWICZ S.On conjectures of Graffiti[J].Discrete Mathematics,1988,72(1/2/3):113-118.

IRANMANESH M,SAHELI M.On the harmonic index and harmonic polynomial of Caterpillars with diameter four[J].Iranian Journal of Mathematical Chemistry,2015,6(1):41-49.

NAZAR R,SARDAR S,ZAFAR S,et al.Edge version of harmonic polynomial and harmonic index[J].Applied mathematics and informatics,2016,34(5/6):479-486.

JUAN C.Harmonic index and harmonic polynomial on graph operations[J].Symmetry,2018,10(10):456.

WRIGHT E M.An inequality for convex functions[J].The American Mathematical Monthly,1954,61(9):620.

CSISZAR V,MORI T F.Sharp integral inequalities for products of convex functions[J].Inequalities in Pure and Applied Mathematics,2007,8(4):94-112.

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