Dominating properties of star complements
Publications de l'Institut Mathématique, _N_S_68 (2000) no. 82, p. 46
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
Let $G$ be a finite graph with an eigenvalue $\mu$ of
multiplicity $m$. A set $X$ of $m$ vertices in $G$ is called a {\em
star set} for $\mu$ in $G$ if $\mu$ is not an eigenvalue of the {\em
star complement} $G-X$. Various dominating properties of the vertices
in $G-X$ are established and discussed in the context of memoryless
communication networks.
Classification :
05C50 05C70
@article{PIM_2000_N_S_68_82_a3,
author = {Bolian Liu and Peter Rowlinson},
title = {Dominating properties of star complements},
journal = {Publications de l'Institut Math\'ematique},
pages = {46 },
publisher = {mathdoc},
volume = {_N_S_68},
number = {82},
year = {2000},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_2000_N_S_68_82_a3/}
}
Bolian Liu; Peter Rowlinson. Dominating properties of star complements. Publications de l'Institut Mathématique, _N_S_68 (2000) no. 82, p. 46 . http://geodesic.mathdoc.fr/item/PIM_2000_N_S_68_82_a3/