Total edge-domatic number of a graph

Bohdan Zelinka

Mathematica Bohemica (1991)

  • Volume: 116, Issue: 1, page 96-100
  • ISSN: 0862-7959

Abstract

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The total edge-domatic number of a graph is introduced as an edge analogue of the total domatic number. Its values are studied for some special classes of graphs. The concept of totally edge-domatically full graph is introduced and investigated.

How to cite

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Zelinka, Bohdan. "Total edge-domatic number of a graph." Mathematica Bohemica 116.1 (1991): 96-100. <http://eudml.org/doc/29347>.

@article{Zelinka1991,
abstract = {The total edge-domatic number of a graph is introduced as an edge analogue of the total domatic number. Its values are studied for some special classes of graphs. The concept of totally edge-domatically full graph is introduced and investigated.},
author = {Zelinka, Bohdan},
journal = {Mathematica Bohemica},
keywords = {total dominating edge set; total edge-domatic number; totally edge-domatically full graph; dominating; total domatic; total dominating; dominating; total dominating; domatic; total domatic; total edge-domatic number},
language = {eng},
number = {1},
pages = {96-100},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Total edge-domatic number of a graph},
url = {http://eudml.org/doc/29347},
volume = {116},
year = {1991},
}

TY - JOUR
AU - Zelinka, Bohdan
TI - Total edge-domatic number of a graph
JO - Mathematica Bohemica
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 116
IS - 1
SP - 96
EP - 100
AB - The total edge-domatic number of a graph is introduced as an edge analogue of the total domatic number. Its values are studied for some special classes of graphs. The concept of totally edge-domatically full graph is introduced and investigated.
LA - eng
KW - total dominating edge set; total edge-domatic number; totally edge-domatically full graph; dominating; total domatic; total dominating; dominating; total dominating; domatic; total domatic; total edge-domatic number
UR - http://eudml.org/doc/29347
ER -

References

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  1. E. J. Cockayne S. T. Hedetniemi, 10.1002/net.3230070305, Networks 7 (1977), 247-261. (1977) MR0483788DOI10.1002/net.3230070305
  2. E. J. Cockayne R. M. Dawes S. T. Hedetniemi, 10.1002/net.3230100304, Networks 10 (1980), 211-219. (1980) MR0584887DOI10.1002/net.3230100304
  3. B. Zelinka, Edge-domatic number of a graph, Czechoslovak Math. J. 33 (198З), 107-110. (198З) MR0687422
  4. B. Zelinka, Domination in cubic graphs, In: Topics in Combinatorics and Graph Theory. Physica-Verlag Heidelberg 1990, 727-735. (1990) Zbl0745.05064MR1100097

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