Results 11 to 20 of about 8,253 (248)

Algorithmic aspects of the independent 2-rainbow domination number and independent Roman \{2\} -domination number

open access: yesDiscussiones Mathematicae Graph Theory, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abolfazl Poureidi, Nader Jafari Rad
openaire   +3 more sources

A note on the independent domination number of subset graph [PDF]

open access: yesCzechoslovak Mathematical Journal, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Xuegang   +3 more
openaire   +2 more sources

The independent domination number of a random graph

open access: yesDiscussiones Mathematicae Graph Theory, 2011
We prove a two-point concentration for the independent domination number of the random graph Gn,p provided p 2 ln(n) 64ln((lnn)=p). occurs asymptotically almost surely (a.a.s.) if P(Gn;p has property A) ! 1 as n ! 1 . See Bollobas (2) for notation and terminology. Weber (7) showed if p = 1=2 then a.a.s. (Gn;p) is either blog2 n − log2(log2 nlnn)c + 1
Lane H. Clark, Darin Johnson
openaire   +2 more sources

Extremal connected graphs for independent domination number

open access: yesDiscrete Mathematics, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brigham, Robert C.   +2 more
core   +5 more sources

An Upper Bound for the Independent Domination Number

open access: yesJournal of Combinatorial Theory, Series B, 1999
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Liang Sun, Jianfang Wang
openaire   +2 more sources

On independent domination number of regular graphs

open access: yesDiscrete Mathematics, 1999
A subset \(S\) of the vertex set of a graph \(G\) is called independent, if no two of its vertices are adjacent in \(G\). An independent set in \(G\) is maximal, if it is not a proper subset of another independent set of \(G\). The minimum number of vertices of a maximal independent set is the independent domination number \(i(G)\) of \(G\).
Peter Che Bor Lam   +2 more
openaire   +3 more sources

On Equality and Strong Equality of Domination Number and Independent Domination Number in Graphs

open access: yesMapana - Journal of Sciences, 2015
 In this paper we explore graphs having same domination number and independent domination number . Such graphs are denoted as ( , )-graphs. Several families of  ( , )-graphs have been constructed. The realization problem for graphs with  =  = a for any given positive integer a has been solved. Furthermore, properties of graphs in which every  -set is a
Pious Femlin, Joseph Mayamma
openaire   +3 more sources

Weak and Strong Reinforcement Number For a Graph [PDF]

open access: yes, 2010
Introducing the weak reinforcement number which is the minimum number of added edges to reduce the weak dominating number, and giving some boundary of this new parameter and ...
DOGAN, Derya   +2 more
core   +1 more source

Domination and Independent Domination in Hexagonal Systems

open access: yes, 2021
A vertex subset D of G is a dominating set if every vertex in V(G)\D is adjacent to a vertex in D. A dominating set D is independent if G[D], the subgraph of G induced by D, contains no edge.
Norah Almalki, Pawaton Kaemawichanurat
core   +1 more source

On the Outer Independent Double Roman Domination Number [PDF]

open access: yesBulletin of the Iranian Mathematical Society, 2021
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Doost Ali Mojdeh   +3 more
openaire   +1 more source

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