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

Abstract

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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.

How to cite

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Grady 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

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  1. [1] G. Chartrand, D. Erwin, D.W. VanderJagt and P. Zhang, γ-labelings of graphs, Bull. Inst. Combin. Appl. 44 (2005) 51-68. 
  2. [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. [3] C.M. da Fonseca, V. Saenpholphat and P. Zhang, The γ-spectrum of a graph, Ars. Combin., to appear. Zbl1265.05559
  4. [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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