Exact $2$-step domination in graphs

Chartrand, Gary, et al. "Exact $2$-step domination in graphs." Mathematica Bohemica 120.2 (1995): 125-134. <http://eudml.org/doc/247782>.

@article{Chartrand1995,
abstract = {For a vertex $v$ in a graph $G$, the set $N_2(v)$ consists of those vertices of $G$ whose distance from $v$ is 2. If a graph $G$ contains a set $S$ of vertices such that the sets $N_2(v)$, $v\in S$, form a partition of $V(G)$, then $G$ is called a $2$-step domination graph. We describe $2$-step domination graphs possessing some prescribed property. In addition, all $2$-step domination paths and cycles are determined.},
author = {Chartrand, Gary, Harary, Frank, Hossain, Moazzem, Schultz, Kelly},
journal = {Mathematica Bohemica},
keywords = {$2$-step domination graph; paths; cycles; 2-step domination; paths; cycles},
language = {eng},
number = {2},
pages = {125-134},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Exact $2$-step domination in graphs},
url = {http://eudml.org/doc/247782},
volume = {120},
year = {1995},
}

TY - JOUR
AU - Chartrand, Gary
AU - Harary, Frank
AU - Hossain, Moazzem
AU - Schultz, Kelly
TI - Exact $2$-step domination in graphs
JO - Mathematica Bohemica
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 120
IS - 2
SP - 125
EP - 134
AB - For a vertex $v$ in a graph $G$, the set $N_2(v)$ consists of those vertices of $G$ whose distance from $v$ is 2. If a graph $G$ contains a set $S$ of vertices such that the sets $N_2(v)$, $v\in S$, form a partition of $V(G)$, then $G$ is called a $2$-step domination graph. We describe $2$-step domination graphs possessing some prescribed property. In addition, all $2$-step domination paths and cycles are determined.
LA - eng
KW - $2$-step domination graph; paths; cycles; 2-step domination; paths; cycles
UR - http://eudml.org/doc/247782
ER -