Document Type

Journal Article

Department/Unit

Department of Mathematics

Title

Integer-antimagic spectra of tadpole and lollipop graphs

Language

English

Abstract

Let $A$ be a non-trival abelian group. A connected simple graph $G = (V, E)$ is $A$-antimagic if there exists an edge labeling $f: E(G) \to A \setminus \{0\}$ such that the induced vertex labeling $f^+: V(G) \to A$, defined by $f^+(v) = \sum_{uv\in E(G)}f(uv)$, is injective. The integer-antimagic spectrum of a graph $G$ is the set IAM$(G) = \{k\;|\; G \textnormal{ is } \mathbb{Z}_k\textnormal{-antimagic and } k \geq 2\}$. In this article, we determine the integer-antimagic spectra of tadpole and lollipop graphs.

Publication Date

2015

Source Publication Title

Congressus Numerantium

Volume

225

Start Page

5

End Page

22

Publisher

Winnipeg; Utilitas Mathematica

ISSN (print)

03849864

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