Magic and supermagic dense bipartite graphs

Jaroslav Ivanco

Discussiones Mathematicae Graph Theory (2007)

  • Volume: 27, Issue: 3, page 583-591
  • ISSN: 2083-5892

Abstract

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A graph is called magic (supermagic) if it admits a labelling of the edges by pairwise different (and consecutive) positive integers such that the sum of the labels of the edges incident with a vertex is independent of the particular vertex. In the paper we prove that any balanced bipartite graph with minimum degree greater than |V(G)|/4 ≥ 2 is magic. A similar result is presented for supermagic regular bipartite graphs.

How to cite

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Jaroslav Ivanco. "Magic and supermagic dense bipartite graphs." Discussiones Mathematicae Graph Theory 27.3 (2007): 583-591. <http://eudml.org/doc/270151>.

@article{JaroslavIvanco2007,
abstract = {A graph is called magic (supermagic) if it admits a labelling of the edges by pairwise different (and consecutive) positive integers such that the sum of the labels of the edges incident with a vertex is independent of the particular vertex. In the paper we prove that any balanced bipartite graph with minimum degree greater than |V(G)|/4 ≥ 2 is magic. A similar result is presented for supermagic regular bipartite graphs.},
author = {Jaroslav Ivanco},
journal = {Discussiones Mathematicae Graph Theory},
keywords = {magic graphs; supermagic graphs; bipartite graphs},
language = {eng},
number = {3},
pages = {583-591},
title = {Magic and supermagic dense bipartite graphs},
url = {http://eudml.org/doc/270151},
volume = {27},
year = {2007},
}

TY - JOUR
AU - Jaroslav Ivanco
TI - Magic and supermagic dense bipartite graphs
JO - Discussiones Mathematicae Graph Theory
PY - 2007
VL - 27
IS - 3
SP - 583
EP - 591
AB - A graph is called magic (supermagic) if it admits a labelling of the edges by pairwise different (and consecutive) positive integers such that the sum of the labels of the edges incident with a vertex is independent of the particular vertex. In the paper we prove that any balanced bipartite graph with minimum degree greater than |V(G)|/4 ≥ 2 is magic. A similar result is presented for supermagic regular bipartite graphs.
LA - eng
KW - magic graphs; supermagic graphs; bipartite graphs
UR - http://eudml.org/doc/270151
ER -

References

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