Geodesic
New bounds on domination and independence in graphs
Discussiones Mathematicae. Graph Theory, Tome 43 (2023) no. 3, pp. 809-824

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

We propose new bounds on the domination number and on the independence number of a graph and show that our bounds compare favorably to recent ones. Our bounds are obtained by using the Bhatia-Davis inequality linking the variance, the expected value, the minimum, and the maximum of a random variable with bounded distribution.
Keywords: undirected graph, domination number, independence number, bounds 
@article{DMGT_2023_43_3_a14,
     author = {Harant, Jochen and Mohr, Samuel},
     title = {New bounds on domination and independence in graphs},
     journal = {Discussiones Mathematicae. Graph Theory},
     pages = {809--824},
     publisher = {mathdoc},
     volume = {43},
     number = {3},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMGT_2023_43_3_a14/}
}
TY  - JOUR
AU  - Harant, Jochen
AU  - Mohr, Samuel
TI  - New bounds on domination and independence in graphs
JO  - Discussiones Mathematicae. Graph Theory
PY  - 2023
SP  - 809
EP  - 824
VL  - 43
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMGT_2023_43_3_a14/
LA  - en
ID  - DMGT_2023_43_3_a14
ER  - 
%0 Journal Article
%A Harant, Jochen
%A Mohr, Samuel
%T New bounds on domination and independence in graphs
%J Discussiones Mathematicae. Graph Theory
%D 2023
%P 809-824
%V 43
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMGT_2023_43_3_a14/
%G en
%F DMGT_2023_43_3_a14
Harant, Jochen; Mohr, Samuel. New bounds on domination and independence in graphs. Discussiones Mathematicae. Graph Theory, Tome 43 (2023) no. 3, pp. 809-824. http://geodesic.mathdoc.fr/item/DMGT_2023_43_3_a14/