(a,d)-Edge-Antimagic Total Labelings of Caterpillars

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K. A. Sugeng School of Information Technology and Mathematical Sciences, University
of Ballarat, Victoria, Australia

M. Miller

2003 Article

School of Information Technology and Mathematical Sciences, University

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of Ballarat, Victoria, Australia

Slamin

M. Bača

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FKIP, Universitas Jember, Indonesia

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Bibliometrics

Department of Appl. Mathematics, Technical University, Košice, Slovak
Republic

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Published in:
- Proceeding
IJCCGGT'03 Proceedings of the 2003 Indonesia1Japan joint conference on Combinatorial Geometry and
Graph Theory
Pages 1691180
Springer(Verlag Berlin, Heidelberg ©2005
table of contents ISBN:3154012440118 97813154012440111

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doi>10.1007/978(3(540(30540(8_19

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For a graph
= ( , ), a bijection from ( ) ∪ ( ) into { 1,2, ..., ∣ ( ) ∣ + ∣ ( ) ∣ } is called ( , )1edge1antimagic total labeling of
if
the edge1weights ( ) = ( ) + ( ) + ( ),
∈ ( ), form an arithmetic progression with initial term and common difference . An
( , )1edge1antimagic total labeling is called super ( , )1edge1antimagic total if ( ( )) = { 1,2,..., ∣ ( ) ∣ } .
We study super ( , )1edge1antimagic total properties of stars

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and caterpillar

1, 2,...,

.

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