Results 11 to 20 of about 19,120 (213)
Total domination subdivision numbers of trees
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.
Haynes, Teresa W. +2 more
openaire +3 more sources
Domination parameters with number 2: Interrelations and algorithmic consequences [PDF]
, 2018 In this paper, we study the most basic domination invariants in graphs, in which number 2 is intrinsic part of their definitions. We classify them upon three criteria, two of which give the following previously studied invariants: the weak 2-domination ...
Bonomo, Flavia +4 more
core +2 more sources
Total domination subdivision numbers of graphs
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 (
Haynes, Teresa W. +2 more
openaire +2 more sources
Total Domination Multisubdivision Number of a Graph
Discussiones Mathematicae Graph Theory, 2015 The domination multisubdivision number of a nonempty graph G was defined in [3] as the minimum positive integer k such that there exists an edge which must be subdivided k times to increase the domination number of G.
Avella-Alaminos Diana +3 more
doaj +1 more source
Stellar theory for flag complexes [PDF]
, 2014 Refining a basic result of Alexander, we show that two flag simplicial complexes are piecewise linearly homeomorphic if and only if they can be connected by a sequence of flag complexes, each obtained from the previous one by either an edge subdivision ...
Lutz, Frank H., Nevo, Eran
core +1 more source
Trees whose 2-domination subdivision number is 2 [PDF]
, 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
Abdollah Khodkar +2 more
core +1 more source
Protecting a Graph with Mobile Guards [PDF]
, 2015 Mobile guards on the vertices of a graph are used to defend it against attacks on either its vertices or its edges. Various models for this problem have been proposed.
Klostermeyer, William F. +1 more
core +1 more source
Efficient MaxCount and threshold operators of moving objects [PDF]
, 2008 Calculating operators of continuously moving objects presents some unique challenges, especially when the operators involve aggregation or the concept of congestion, which happens when the number of moving objects in a changing or dynamic query space ...
Anderson, Scot, Revesz, Peter
core +2 more sources
Domination parameters of a graph with added vertex [PDF]
Opuscula Mathematica, 2004 Let \(G=(V,E)\) be a graph. A subset \(D\subseteq V\) is a total dominating set of \(G\) if for every vertex \(y\in V\) there is a vertex \(x\in D\) with \(xy\in E\).
Maciej Zwierzchowski
doaj
Deterministic global optimization using space-filling curves and multiple estimates of Lipschitz and Holder constants [PDF]
, 2015 In this paper, the global optimization problem $\min_{y\in S} F(y)$ with $S$ being a hyperinterval in $\Re^N$ and $F(y)$ satisfying the Lipschitz condition with an unknown Lipschitz constant is considered.
Lera, Daniela, Sergeyev, Yaroslav D.
core +2 more sources