# Cubic Graphs with Total Domatic Number at Least Two

Saieed Akbari; Mohammad Motiei; Sahand Mozaffari; Sina Yazdanbod

Discussiones Mathematicae Graph Theory (2018)

- Volume: 38, Issue: 1, page 75-82
- ISSN: 2083-5892

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topSaieed Akbari, et al. "Cubic Graphs with Total Domatic Number at Least Two." Discussiones Mathematicae Graph Theory 38.1 (2018): 75-82. <http://eudml.org/doc/288591>.

@article{SaieedAkbari2018,

abstract = {Let G be a graph with no isolated vertex. A total dominating set of G is a set S of vertices of G such that every vertex is adjacent to at least one vertex in S. The total domatic number of a graph is the maximum number of total dominating sets which partition the vertex set of G. In this paper we provide a criterion under which a cubic graph has total domatic number at least two.},

author = {Saieed Akbari, Mohammad Motiei, Sahand Mozaffari, Sina Yazdanbod},

journal = {Discussiones Mathematicae Graph Theory},

keywords = {total domination; total domatic number; coupon coloring},

language = {eng},

number = {1},

pages = {75-82},

title = {Cubic Graphs with Total Domatic Number at Least Two},

url = {http://eudml.org/doc/288591},

volume = {38},

year = {2018},

}

TY - JOUR

AU - Saieed Akbari

AU - Mohammad Motiei

AU - Sahand Mozaffari

AU - Sina Yazdanbod

TI - Cubic Graphs with Total Domatic Number at Least Two

JO - Discussiones Mathematicae Graph Theory

PY - 2018

VL - 38

IS - 1

SP - 75

EP - 82

AB - Let G be a graph with no isolated vertex. A total dominating set of G is a set S of vertices of G such that every vertex is adjacent to at least one vertex in S. The total domatic number of a graph is the maximum number of total dominating sets which partition the vertex set of G. In this paper we provide a criterion under which a cubic graph has total domatic number at least two.

LA - eng

KW - total domination; total domatic number; coupon coloring

UR - http://eudml.org/doc/288591

ER -

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