Geodesic
On Unique Minimum Dominating Sets in Some Cartesian Product Graphs
Discussiones Mathematicae. Graph Theory, Tome 35 (2015) no. 4, pp. 615-628

Voir la notice de l'article provenant de la source Library of Science

Unique minimum vertex dominating sets in the Cartesian product of a graph with a complete graph are considered. We first give properties of such sets when they exist. We then show that when the first factor of the product is a tree, consideration of the tree alone is sufficient to determine if the product has a unique minimum dominating set.
Keywords: vertex domination, graph products, trees 
@article{DMGT_2015_35_4_a1,
     author = {Hedetniemi, Jason T.},
     title = {On {Unique} {Minimum} {Dominating} {Sets} in {Some} {Cartesian} {Product} {Graphs}},
     journal = {Discussiones Mathematicae. Graph Theory},
     pages = {615--628},
     publisher = {mathdoc},
     volume = {35},
     number = {4},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMGT_2015_35_4_a1/}
}
TY  - JOUR
AU  - Hedetniemi, Jason T.
TI  - On Unique Minimum Dominating Sets in Some Cartesian Product Graphs
JO  - Discussiones Mathematicae. Graph Theory
PY  - 2015
SP  - 615
EP  - 628
VL  - 35
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMGT_2015_35_4_a1/
LA  - en
ID  - DMGT_2015_35_4_a1
ER  - 
%0 Journal Article
%A Hedetniemi, Jason T.
%T On Unique Minimum Dominating Sets in Some Cartesian Product Graphs
%J Discussiones Mathematicae. Graph Theory
%D 2015
%P 615-628
%V 35
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMGT_2015_35_4_a1/
%G en
%F DMGT_2015_35_4_a1
Hedetniemi, Jason T. On Unique Minimum Dominating Sets in Some Cartesian Product Graphs. Discussiones Mathematicae. Graph Theory, Tome 35 (2015) no. 4, pp. 615-628. http://geodesic.mathdoc.fr/item/DMGT_2015_35_4_a1/