- Title
- (a,d)-edge-antimagic total labelings of caterpillars
- Creator
- Miller, Mirka; Sugeng, Kiki Ariyanti; Slamin,; Baca, Martin
- Date
- 2005
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/63618
- Identifier
- vital:608
- Identifier
-
https://doi.org/10.1007/b105263
- Identifier
- ISSN:0302-9743
- Abstract
- For a graph G = (V,E), a bijection g from V (G)∪E(G) into {1, 2, ..., |V (G)|+|E(G)|} is called (a, d)-edge-antimagic total labeling of G if the edge-weights w(xy) = g(x) + g(y) + g(xy), xy ∈ E(G), form an arithmetic progression with initial term a and common difference d. An (a, d)-edge-antimagic total labeling g is called super (a, d)-edge-antimagic total if g(V (G)) = {1, 2, ..., |V (G)|}. We study super (a, d)-edge-antimagic total properties of stars Sn and caterpillar Sn1,n2,...,nr .; C1
- Publisher
- Heidelberg, Germany Springer
- Relation
- Combinatorial Geometry and Graph Theory, LNCS 3330, Lecture Notes in Computer Science, Indonesia-Japan Joint Conference IJCCGGT 2003, Bandung, Indonesia, September 2003, Revised Selected Papers Vol. 3330, no. (2005), p. 169-180
- Rights
- Copyright Springer
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0101 Pure Mathematics; Antimagic labeling
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