Geodesic
γ-labelings of complete bipartite graphs
Discussiones Mathematicae. Graph Theory, Tome 30 (2010) no. 1, pp. 45-54 Cet article a éte moissonné depuis la source Library of Science

Voir la notice de l'article

Explicit formulae for the γ-min and γ-max labeling values of complete bipartite graphs are given, along with γ-labelings which achieve these extremes. A recursive formula for the γ-min labeling value of any complete multipartite is also presented.
Keywords: γ-labelings, bipartite graphs, multipartite graphs 
@article{DMGT_2010_30_1_a3,
     author = {Bullington, Grady and Eroh, Linda and Winters, Steven},
     title = {\ensuremath{\gamma}-labelings of complete bipartite graphs},
     journal = {Discussiones Mathematicae. Graph Theory},
     pages = {45--54},
     year = {2010},
     volume = {30},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMGT_2010_30_1_a3/}
}
TY  - JOUR
AU  - Bullington, Grady
AU  - Eroh, Linda
AU  - Winters, Steven
TI  - γ-labelings of complete bipartite graphs
JO  - Discussiones Mathematicae. Graph Theory
PY  - 2010
SP  - 45
EP  - 54
VL  - 30
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/DMGT_2010_30_1_a3/
LA  - en
ID  - DMGT_2010_30_1_a3
ER  - 
%0 Journal Article
%A Bullington, Grady
%A Eroh, Linda
%A Winters, Steven
%T γ-labelings of complete bipartite graphs
%J Discussiones Mathematicae. Graph Theory
%D 2010
%P 45-54
%V 30
%N 1
%U http://geodesic.mathdoc.fr/item/DMGT_2010_30_1_a3/
%G en
%F DMGT_2010_30_1_a3
Bullington, Grady; Eroh, Linda; Winters, Steven. γ-labelings of complete bipartite graphs. Discussiones Mathematicae. Graph Theory, Tome 30 (2010) no. 1, pp. 45-54. http://geodesic.mathdoc.fr/item/DMGT_2010_30_1_a3/

[1] G. Chartrand, D. Erwin, D.W. VanderJagt and P. Zhang, γ-labelings of graphs, Bull. Inst. Combin. Appl. 44 (2005) 51-68.

[2] G. Chartrand, D. Erwin, D. VanderJagt and P. Zhang, γ-labelings of trees, Discuss. Math. Graph Theory 25 (2005) 363-383, doi: 10.7151/dmgt.1289.

[3] C.M. da Fonseca, V. Saenpholphat and P. Zhang, The γ-spectrum of a graph, Ars. Combin., to appear.

[4] V. Saenpholphat, F. Okamoto and P. Zhang, On γ-labelings on oriented graphs, Math. Bohem. 132 (2007) 185-203.