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Chapter 6 Contagion and Dominating Sets

2006
Abstract Each agent of a finite population interacts strategically with each of his neighbours on a graph. All agents have the same pair of available actions. In every period, each agent chooses a particular action if at least a proportion p of his neighbours has chosen this action in the previous period.
Durieu, Jacques   +2 more
openaire   +3 more sources

Dominant-set clustering: A review

European Journal of Operational Research, 2017
Abstract Clustering refers to the process of extracting maximally coherent groups from a set of objects using pairwise, or high-order, similarities. Traditional approaches to this problem are based on the idea of partitioning the input data into a predetermined number of classes, thereby obtaining the clusters as a by-product of the partitioning ...
Samuel Rota Bulò, Marcello Pelillo
openaire   +3 more sources

On Dominating Sets and Independent Sets of Graphs

Combinatorics, Probability and Computing, 1999
For a graph G on vertex set V = {1, …, n} let k = (k1, …, kn) be an integral vector such that 1 [les ] ki [les ] di for i ∈ V, where di is the degree of the vertex i in G. A k-dominating set is a set Dk ⊆ V such that every vertex i ∈ V[setmn ]Dk has at least ki neighbours in Dk.
Jochen Harant   +2 more
openaire   +2 more sources

VERY EXCELLENT DOMINATING WEAKLY CONNECTED SET DOMINATING SETS [PDF]

open access: possibleAdvances in Mathematics: Scientific Journal, 2020
M. Davamani Christober   +1 more
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Counting Minimal Dominating Sets

2017
A dominating set D in a graph is a subset of its vertex set such that each vertex is either in D or has a neighbour in D. From [M.M. Kante, V. Limouzy, A. Mary and L. Nourine, On the Enumeration of Minimal Dominating Sets and Related Notions, SIDMA 28(4):1916–1929 (2014)] we know that the counting (resp.
Kanté, Mamadou Moustapha, Uno, Takeaki
openaire   +3 more sources

Safe sets and in-dominating sets in digraphs

Discrete Applied Mathematics
A non-empty subset S of the vertices of a digraph D is a safe set if (i) for every strongly connected component M of D−S, there exists a strongly connected component N of D[S] such that there exists an arc from M to N; and (ii) for every strongly connected component M of D−S and every strongly connected component N of D[S], we have |M|≤|N| whenever ...
Bai, Yandong   +4 more
openaire   +2 more sources

Minimum connected dominating set based RSU allocation for smartCloud vehicles in VANET

Cluster Computing, 2018
A. Chinnasamy   +3 more
semanticscholar   +1 more source

Efficient heuristic algorithms for positive-influence dominating set in social networks

Conference on Computer Communications Workshops, 2018
F. Abu-Khzam, Karine Lamaa
semanticscholar   +1 more source

Kernels for (Connected) Dominating Set on Graphs with Excluded Topological Minors

ACM Trans. Algorithms, 2018
F. Fomin   +3 more
semanticscholar   +1 more source

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