Geodesic
Global domination and neighborhood numbers in Boolean function graph of a graph
Mathematica Bohemica, Tome 130 (2005) no. 3, pp. 231-246.

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For any graph $G$, let $V(G)$ and $E(G)$ denote the vertex set and the edge set of $G$ respectively. The Boolean function graph $B(G, L(G), \mathop {\mathrm NINC})$ of $G$ is a graph with vertex set $V(G)\cup E(G)$ and two vertices in $B(G, L(G), \mathop {\mathrm NINC})$ are adjacent if and only if they correspond to two adjacent vertices of $G$, two adjacent edges of $G$ or to a vertex and an edge not incident to it in $G$. In this paper, global domination number, total global domination number, global point-set domination number and neighborhood number for this graph are obtained.
DOI : 10.21136/MB.2005.134094
Classification : 05C15, 05C69
Keywords: Boolean function graph; global domination number; neighborhood number 
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Janakiraman, T. N.; Muthammai, S.; Bhanumathi, M. Global domination and neighborhood numbers in Boolean function graph of a graph. Mathematica Bohemica, Tome 130 (2005) no. 3, pp. 231-246. doi : 10.21136/MB.2005.134094. http://geodesic.mathdoc.fr/articles/10.21136/MB.2005.134094/

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