Geodesic
On super edge-antimagic total labeling of subdivided stars
Discussiones Mathematicae. Graph Theory, Tome 34 (2014) no. 4, pp. 691-706

Voir la notice de l'article provenant de la source Library of Science

In 1980, Enomoto et al. proposed the conjecture that every tree is a super (a, 0)-edge-antimagic total graph. In this paper, we give a partial support for the correctness of this conjecture by formulating some super (a, d)-edge-antimagic total labelings on a subclass of subdivided stars denoted by T(n, n + 1, 2n + 1, 4n + 2, n_5, n_6, . . ., n_r) for different values of the edge-antimagic labeling parameter d, where n ≥ 3 is odd, n_m = 2^m−4(4n+1)+1, r ≥ 5 and 5 ≤ m ≤ r.
Keywords: subdivision of star, super ($a, d$)-EAT labeling 
@article{DMGT_2014_34_4_a3,
     author = {Javaid, Muhammad},
     title = {On super edge-antimagic total labeling of subdivided stars},
     journal = {Discussiones Mathematicae. Graph Theory},
     pages = {691--706},
     publisher = {mathdoc},
     volume = {34},
     number = {4},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMGT_2014_34_4_a3/}
}
TY  - JOUR
AU  - Javaid, Muhammad
TI  - On super edge-antimagic total labeling of subdivided stars
JO  - Discussiones Mathematicae. Graph Theory
PY  - 2014
SP  - 691
EP  - 706
VL  - 34
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMGT_2014_34_4_a3/
LA  - en
ID  - DMGT_2014_34_4_a3
ER  - 
%0 Journal Article
%A Javaid, Muhammad
%T On super edge-antimagic total labeling of subdivided stars
%J Discussiones Mathematicae. Graph Theory
%D 2014
%P 691-706
%V 34
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMGT_2014_34_4_a3/
%G en
%F DMGT_2014_34_4_a3
Javaid, Muhammad. On super edge-antimagic total labeling of subdivided stars. Discussiones Mathematicae. Graph Theory, Tome 34 (2014) no. 4, pp. 691-706. http://geodesic.mathdoc.fr/item/DMGT_2014_34_4_a3/