Results 11 to 20 of about 8,782,249 (234)
Roman game domination subdivision number of a graph [PDF]
Transactions on Combinatorics, 2013 A {em Roman dominating function} on a graph $G = (V ,E)$ is a function $f : Vlongrightarrow {0, 1, 2}$ satisfying the condition that every vertex $v$ for which $f (v) = 0$ is adjacent to at least one vertex $u$ for which $f (u) = 2$. The {em weight} of a
Jafar Amjadi +3 more
doaj +4 more sources
On domination multisubdivision number of unicyclic graphs [PDF]
Opuscula Mathematica, 2018 The paper continues the interesting study of the domination subdivision number and the domination multisubdivision number. On the basis of the constructive characterization of the trees with the domination subdivision number equal to 3 given in [H. Aram,
Joanna Raczek
doaj +3 more sources
Trees whose 2-domination subdivision number is 2 [PDF]
Opuscula Mathematica, 2012 A set \(S\) of vertices in a graph \(G = (V,E)\) is a \(2\)-dominating set if every vertex of \(V\setminus S\) is adjacent to at least two vertices of \(S\). The \(2\)-domination number of a graph \(G\), denoted by \(\gamma_2(G)\), is the minimum size of
M. Atapour +2 more
doaj +4 more sources
Edge subdivision and edge multisubdivision versus some domination related parameters in generalized corona graphs [PDF]
Opuscula Mathematica, 2016 Given a graph \(G=(V,E)\), the subdivision of an edge \(e=uv\in E(G)\) means the substitution of the edge \(e\) by a vertex \(x\) and the new edges \(ux\) and \(xv\).
Magda Dettlaff +2 more
doaj +4 more sources
Domination Subdivision Numbers [PDF]
Discussiones Mathematicae Graph Theory, 2001 A set \(S\) of vertices of a graph \(G\) is a dominating set if every vertex of \(V(G)-S\) is adjacent to some vertex in \(S\). The domination number \(\gamma(G)\) is the minimum cardinality of a dominating set of \(G\), and the domination subdivision number \(\text{sd}_{\gamma}(G)\) is the minimum number of edges that must be subdivided (each edge in \
Teresa W. Haynes +5 more
core +3 more sources
Total domination subdivision numbers of graphs [PDF]
Discussiones Mathematicae Graph Theory, 2004 Summary: A set \(S\) of vertices in a graph \(G=(V,E)\) is a total dominating set of \(G\) if every vertex of \(V\) is adjacent to a vertex in \(S\). The total domination number of \(G\) is the minimum cardinality of a total dominating set of \(G\). The total domination subdivision number of \(G\) is the minimum number of edges that must be subdivided (
Teresa W. Haynes +2 more
openaire +3 more sources
Total domination subdivision numbers of trees [PDF]
Discrete Mathematics, 2004 The total domination subdivision number \(\text{ sd}_{\gamma_t}(G)\) of a graph \(G\) is the minimum number of edges whose subdivision increases the total domination number \({\gamma_t}(G)\) of \(G\). \textit{T. W. Haynes} et al. [J. Comb. Math. Comb. Comput.
Teresa W. Haynes +2 more
openaire +4 more sources
Characterization of double domination subdivision number of trees [PDF]
Discrete Applied Mathematics, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maryam Atapour +2 more
openaire +2 more sources
On total domination subdivision numbers of trees [PDF]
Discussiones Mathematicae Graph Theory15 pages, 7 ...
Michael A. Henning, Jerzy Topp
core +5 more sources
Weakly connected domination subdivision numbers [PDF]
Discussiones Mathematicae Graph Theory, 2008 A set D of vertices in a graph G = (V, E) is a weakly connected dominating set of G if D is dominating in G and the subgraph weakly induced by D is connected. The weakly connected domination number of G is the minimum cardinality of a weakly connected dominating set of G.
Raczek, Joanna
openaire +2 more sources