- Title
- On magicness and antimagicness of the union of 4-regular circulant graphs
- Creator
- Sugeng, Kiki A.; Herawati, Bong N.; Miller, Mirka; Bača, Martin
- Relation
- Australasian Journal of Combinatorics Vol. 50, p. 141-153
- Relation
- http://ajc.maths.uq.edu.au/?page=get_volumes&volume=50
- Publisher
- Centre for Discrete Mathematics & Computing
- Resource Type
- journal article
- Date
- 2011
- Description
- Let G = (V,E) be a graph of order n and size e. An (a, d)-vertexantimagic total labeling is a bijection α from V (G) ∪ E(G) onto the set of consecutive integers {1, 2,..., n + e}, such that the vertex-weights form an arithmetic progression with the initial term a and the common difference d. The vertex-weight of a vertex x is the sum of values α(xy) assigned to all edges xy incident to the vertex x together with the value assigned to x itself. In this paper we study the vertex-magicness and vertex-antimagicness of the union of 4-regular circulant graphs.
- Subject
- vertex magicness; vertex antimagicness; regular circulant graphs; arithmetic progression
- Identifier
- http://hdl.handle.net/1959.13/1062612
- Identifier
- uon:17117
- Identifier
- ISSN:1034-4942
- Language
- eng
- Full Text
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