# γ-labelings of complete bipartite graphs

Grady D. Bullington; Linda L. Eroh; Steven J. Winters

Discussiones Mathematicae Graph Theory (2010)

- Volume: 30, Issue: 1, page 45-54
- ISSN: 2083-5892

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topGrady D. Bullington, Linda L. Eroh, and Steven J. Winters. "γ-labelings of complete bipartite graphs." Discussiones Mathematicae Graph Theory 30.1 (2010): 45-54. <http://eudml.org/doc/270853>.

@article{GradyD2010,

abstract = {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.},

author = {Grady D. Bullington, Linda L. Eroh, Steven J. Winters},

journal = {Discussiones Mathematicae Graph Theory},

keywords = {γ-labelings; bipartite graphs; multipartite graphs; -labelings},

language = {eng},

number = {1},

pages = {45-54},

title = {γ-labelings of complete bipartite graphs},

url = {http://eudml.org/doc/270853},

volume = {30},

year = {2010},

}

TY - JOUR

AU - Grady D. Bullington

AU - Linda L. Eroh

AU - Steven J. Winters

TI - γ-labelings of complete bipartite graphs

JO - Discussiones Mathematicae Graph Theory

PY - 2010

VL - 30

IS - 1

SP - 45

EP - 54

AB - 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.

LA - eng

KW - γ-labelings; bipartite graphs; multipartite graphs; -labelings

UR - http://eudml.org/doc/270853

ER -

## References

top- [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. Zbl1104.05064
- [3] C.M. da Fonseca, V. Saenpholphat and P. Zhang, The γ-spectrum of a graph, Ars. Combin., to appear. Zbl1265.05559
- [4] V. Saenpholphat, F. Okamoto and P. Zhang, On γ-labelings on oriented graphs, Math. Bohem. 132 (2007) 185-203. Zbl1174.05056

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