Super (a, 3)-edge-antimagic total labelings for union of two stars

Title: Super (a, 3)-edge-antimagic total labelings for union of two stars
Creator: Arumugam, S.; Nalliah, M.
Relation: Utilitas Mathematica Vol. 101, p. 337-349
Publisher: University of Manitoba
Resource Type: journal article
Date: 2016
Description: An (a,d)-edge antimagic total labeling of a (p, q)-graph G is bijection f:V∪E→{1,2,3,…,p+q} with the property that the edge-weights w(uv)=f(u)+f(v)+f(uv) where uv∈E(G) form an arithmetic progression a,a+d,…,a+(q−1)d, where a > 0 and d ≥ 0 are two fixed integers. If such a labeling exists, then G is called an (a,d)-edge antimagic total graph. If further the vertex labels are the integers {1,2,3,…,p}, then f is called a super (a,d)-edge antimagic total labeling of G ((a, d)-SEAMT labeling) and a graph which admits such a labeling is called a super (a,d)-edge antimagic total graph ((a, d)-SEAMT graph). If d=0, then the graph G is called a super edge-magic graph. In this paper we investigate the existence of super (a, 3)-edge antimagic total labelings for union of two stars.
Subject: total labeling; antimagic total labeling; super antimagic
Identifier: http://hdl.handle.net/1959.13/1345649
Identifier: uon:29690
Identifier: ISSN:0315-3681
Language: eng
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