SUPER (a, 3)-EDGE-ANTIMAGIC TOTAL LABELINGS FOR UNION OF TWO STARS

被引：0

作者：

Arumugam, S. ^{[1
,2
,3
,4
]}

Nalliah, M. ^{[1
]}

机构：

[1] Kalasalingam Univ, Natl Ctr Adv Res Discrete Math N CARDMATH, Anand Nagar 626126, Krishnankoil, India

[2] Univ Newcastle, Sch Elect Engn & Comp Sci, Callaghan, NSW 2308, Australia

[3] Liverpool Hope Univ, Dept Comp Sci, Liverpool, Merseyside, England

[4] Ball State Univ, Dept Comp Sci, Muncie, IN 47306 USA

来源：

UTILITAS MATHEMATICA | 2016年 / 101卷

关键词：

Super; (a; d)-edge-antimagic total labeling; union of two stars;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An (a, d)-edge-antimagic total labeling of a graph G = (V, E) with p vertices and q edges is a bijection f : VUE -> {1, 2, 3,...,p + q} such that all the edge-weights w(uv) = f (u) + f (v) + f (uv); uv is an element of E(G), form an arithmetic progression starting from a and having common difference d. An (a, d)-edge-antimagic total labeling is called a super (a, d)-edge-antimagic total labeling ((a, d)-SEAMT labeling) if f (V(G)) = {1, 2, 3,...,p}. In this paper we investigate the existence of (a, 3)-SEAMT labelings for union of two stars.

引用

页码：337 / 349

页数：13