非哈密顿图的整数-反幻谱

Q4 Mathematics

Theory and Applications of Graphs Pub Date : 2022-07-24 DOI:10.20429/tag.2022.090208

W. Shiu, R. Low

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引用次数: 0

摘要

设A是一个非平凡阿贝尔群。连通的简单图G=（V，E）是反能的，如果存在边标记f:E（G）→ 使得诱导的顶点标记f+：V（G）→ 定义为f+（v）=∑{f（u，v）：（u，v）∈E（G）}的A是一对一映射。本文分析了笛卡儿积、六方网和θ图的群反映射性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Integer-antimagic Spectra of Non-Hamiltonian Graphs

Let A be a nontrivial abelian group. A connected simple graph G = ( V, E ) is A antimagic if there exists an edge labeling f : E ( G ) → A \ { 0 } such that the induced vertex labeling f + : V ( G ) → A , deﬁned by f + ( v ) = Σ { f ( u, v ) : ( u, v ) ∈ E ( G ) } , is a one-to-one map. In this paper, we analyze the group-antimagic property for Cartesian products, hexagonal nets and theta graphs.

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来源期刊

Theory and Applications of Graphs Mathematics-Discrete Mathematics and Combinatorics

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

20 weeks