Geodesic
On the domination number of $t$-constrained de Bruijn graphs
Discrete mathematics & theoretical computer science, Tome 24 (2022) no. 2.

Voir la notice de l'article provenant de la source Episciences

Motivated by the work on the domination number of directed de Bruijn graphs and some of its generalizations, in this paper we introduce a natural generalization of de Bruijn graphs (directed and undirected), namely $t$-constrained de Bruijn graphs, where $t$ is a positive integer, and then study the domination number of these graphs. Within the definition of $t$-constrained de Bruijn graphs, de Bruijn and Kautz graphs correspond to 1-constrained and 2-constrained de Bruijn graphs, respectively. This generalization inherits many structural properties of de Bruijn graphs and may have similar applications in interconnection networks or bioinformatics. We establish upper and lower bounds for the domination number on $t$-constrained de Bruijn graphs both in the directed and in the undirected case. These bounds are often very close and in some cases we are able to find the exact value.
DOI : 10.46298/dmtcs.8879
Classification : 05C20, 05C69 
@article{DMTCS_2022_24_2_a0,
     author = {Calamoneri, Tiziana and Monti, Angelo and Sinaimeri, Blerina},
     title = {On the domination number of $t$-constrained de {Bruijn} graphs},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {24},
     number = {2},
     year = {2022},
     doi = {10.46298/dmtcs.8879},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.8879/}
}
TY  - JOUR
AU  - Calamoneri, Tiziana
AU  - Monti, Angelo
AU  - Sinaimeri, Blerina
TI  - On the domination number of $t$-constrained de Bruijn graphs
JO  - Discrete mathematics & theoretical computer science
PY  - 2022
VL  - 24
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.8879/
DO  - 10.46298/dmtcs.8879
LA  - en
ID  - DMTCS_2022_24_2_a0
ER  - 
%0 Journal Article
%A Calamoneri, Tiziana
%A Monti, Angelo
%A Sinaimeri, Blerina
%T On the domination number of $t$-constrained de Bruijn graphs
%J Discrete mathematics & theoretical computer science
%D 2022
%V 24
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.8879/
%R 10.46298/dmtcs.8879
%G en
%F DMTCS_2022_24_2_a0
Calamoneri, Tiziana; Monti, Angelo; Sinaimeri, Blerina. On the domination number of $t$-constrained de Bruijn graphs. Discrete mathematics & theoretical computer science, Tome 24 (2022) no. 2. doi : 10.46298/dmtcs.8879. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.8879/

Cité par Sources :