Super (a, d)-Edge-Antimagic Total Labeling of Subdivided Stars and w-trees

被引：0

作者：

Javaid, M. ^{[1
]}

Bhatti, A. A. ^{[1
]}

机构：

[1] Natl Univ Comp & Emerging Sci, Dept Math, B Block, Lahore, Pakistan

来源：

UTILITAS MATHEMATICA | 2017年 / 102卷

关键词：

Super; (a; d)-edge-antimagic total labeling; Subdivision of star and Subdivision of w-tree;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Kotzig and Rosa (1970) conjectured that every tree is an edge-magic graph. Furthermore, Enomoto, Llado, Nakamigawa and Ringel (1998), proposed the conjecture that every tree admits a super (a, 0)-edge-antimagic total labeling. In this paper, we give support to the partial correctness of these conjectures by showing that subdivided stars and subdivided w-trees are super (a, 0)-edgeantimagic total graphs. Also, we prove that these graphs are super (a, d)-edge-antimagic total for some d not equal 0.

引用

页码：199 / 214

页数：16