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圈图与简单图的冠图的D(2)-点和可区别边染色的界

何静 强会英

吉林大学学报(理学版)2025,Vol.63Issue(2):375-381,7.
吉林大学学报(理学版)2025,Vol.63Issue(2):375-381,7.DOI:10.13413/j.cnki.jdxblxb.2024135

圈图与简单图的冠图的D(2)-点和可区别边染色的界

Bound of D(2)-Vertex Sum Distinguishing Edge-Coloring of Corona Graph of a Cycle and Simple Graphs

何静 1强会英1

作者信息

  • 1. 兰州交通大学 数理学院,兰州 730070
  • 折叠

摘要

Abstract

We studied the D(2)-vertex sum distinguishing edge-coloring problem of the corona graph of a cycle and a simple graphs by using combinatorial nullstellensatz,constructing coloring function and mathematical induction.We obtained that the bound of D(2)-vertex sum distinguishing edge-coloring of the corona graph of a cycle and a simple graphs wasΔ(G)+1,and then we derived that the bound of the corona graph of a path and a simple graphs wasΔ(G)+1.

关键词

圈图/简单图/冠图/D(2)-点和可区别边染色/D(2)-点和可区别边色数

Key words

cycle graph/simple graph/corona graph/D(2)-vertex sum distinguishing edge-coloring/D(2)-vertex sum distinguishing edge-coloring number

分类

数理科学

引用本文复制引用

何静,强会英..圈图与简单图的冠图的D(2)-点和可区别边染色的界[J].吉林大学学报(理学版),2025,63(2):375-381,7.

基金项目

国家自然科学基金(批准号:61962035). (批准号:61962035)

吉林大学学报(理学版)

OA北大核心

1671-5489

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