- Title
- Note on super antimagicness of disconnected graphs
- Creator
- Bača, Martin; Lin, Yuqing; Semaničová-Feňovčíková, Andrea
- Relation
- AKCE International Journal of Graphs and Combinatorics Vol. 6, Issue 1, p. 47-55
- Relation
- http://www.akcejournal.org/contents/vol6no1/vol6_no1_6.htm
- Publisher
- Kalasalingham University
- Resource Type
- journal article
- Date
- 2009
- Description
- A labeling of a graph is a mapping that carries some sets of graph elements into numbers (usually the positive integers). An (a, d)-edge-antimagic total labeling of a graph G(V, E) with p vertices and q edges is a one-to-one mapping f from V(G) ⋃ E(G) onto the set {1,2,...,|V(G)|}, such that the set of all the edge-weights, wf(uv) = f(u) + f(uv) + f(v), uv ∊ E(G), forms an arithmetic sequence starting from a and having a common difference d. Such a labeling is called super if the smallest possible labels appear on the vertices. In this paper we mainly study the super (a,d)-edge-antimagic total labelings of disconnected graphs.
- Subject
- edge-antimagic total labeling; super edge-antimagic total labeling
- Identifier
- uon:8001
- Identifier
- http://hdl.handle.net/1959.13/916455
- Identifier
- ISSN:0972-8600
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