- 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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