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Minimum Edge Dominating Sets

SIAM Journal on Discrete Mathematics, 1993
Let \(G=(V,E)\) be a finite graph. The cardinality of \(V\) (the set of vertices) is \(n\) and the cardinality of \(E\) (the set of edges) is \(m\). Define the following relation of \(E\): \(e\succeq e'\) iff either \(e=e'\) or \(e\) and \(e'\) are adjacent. A subset \(D\subseteq E\) is called an edge dominating set if for each \(e'\in E\) there is \(e\
Horton, J. D., Kilakos, K.
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Distributed Dominating Set and Connected Dominating Set Construction Under the Dynamic SINR Model

IEEE International Parallel and Distributed Processing Symposium, 2019
This paper investigates distributed Dominating Set (DS) and Connected Dominating Set (CDS) construction in dynamic wireless networks under the SINR interference model. Specifically, we present a new model for dynamic networks that admits both churns (due
Dongxiao Yu   +7 more
semanticscholar   +1 more source

Dominant Sets and Pairwise Clustering

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2007
We develop a new graph-theoretic approach for pairwise data clustering which is motivated by the analogies between the intuitive concept of a cluster and that of a dominant set of vertices, a notion introduced here which generalizes that of a maximal complete subgraph to edge-weighted graphs.
PAVAN M, PELILLO, Marcello
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Dominant-set clustering: A review

European Journal of Operational Research, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Samuel Rota Bulò, Marcello Pelillo
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Constrained dominant sets for retrieval

2016 23rd International Conference on Pattern Recognition (ICPR), 2016
Learning new global relations based on an initial affinity of the database objects has shown significant improvements in similarity retrievals. Locally constrained diffusion process is one of the recent effective tools in learning the intrinsic manifold structure of a given data.
MEQUANINT, EYASU ZEMENE   +2 more
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Liar’s dominating sets in graphs

Discrete Applied Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alimadadi, Abdollah   +2 more
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Dominant Set Biclustering

2018
Biclustering, which can be defined as the simultaneous clustering of rows and columns in a data matrix, has received increasing attention in recent years, being applied in many scientific scenarios (e.g. bioinformatics, text analysis, computer vision).
M. Denitto   +3 more
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Dominating Sets in Chordal Graphs

SIAM Journal on Computing, 1982
A set of vertices D is a dominating set for a graph if every vertex is either in D or adjacent to a vertex which is in D. We show that the problem of finding a minimum dominating set in a chordal graph is NP-complete, even when restricted to undirected path graphs, but exhibit a linear time greedy algorithm for the problem further restricted to ...
Booth, Kellogg S., Johnson, J. Howard
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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.
Harant, Jochen   +2 more
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2-Edge connected dominating sets and 2-Connected dominating sets of a graph

Journal of Combinatorial Optimization, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Hengzhe   +2 more
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