(a,d)-Edge-Antimagic Total Labelings of Caterpillars
| Main Authors: | Sugeng, K.A., Miller, M., Slamin, Baca, M. |
|---|---|
| Format: | Article |
| Terbitan: |
Lecture Notes in Computer Science
, 2013
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| Subjects: | |
| Online Access: |
http://repository.unej.ac.id/handle/123456789/810 |
Daftar Isi:
- 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