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Information Processing Letters, ISSN 0020-0190, 07/2019, Volume 147, pp. 3 - 5
•It generalizes a result on optimal dominating sets of graphs to weighted graphs.•Optimal dominating sets (ODS) have many important applications.•The result... 
k-Distance dominating set | Graph algorithms | Spanning tree | Weighted graph | COMPUTER SCIENCE, INFORMATION SYSTEMS
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 06/2012, Volume 160, Issue 9, pp. 1394 - 1398
A vertex subset of a graph is a dominating set if every vertex of the graph belongs to the set or has a neighbor in it. A connected dominating set is a... 
Distance-hereditary graphs | Structural domination | Connected dominating sets | MATHEMATICS, APPLIED | TREES | Trees | Graphs | Mathematical models | Computation | Sun | Shortest-path problems
Journal Article
Information Processing Letters, ISSN 0020-0190, 10/2014, Volume 114, Issue 10, pp. 551 - 555
Journal Article
Fixed Point Theory and Applications, ISSN 1687-1820, 12/2013, Volume 2013, Issue 1, pp. 1 - 16
Journal Article
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), ISSN 0302-9743, 2015, Volume 9466, pp. 354 - 366
Conference Proceeding
ACM Transactions on Database Systems (TODS), ISSN 0362-5915, 02/2016, Volume 40, Issue 4, pp. 1 - 38
Journal Article
Theoretical Computer Science, ISSN 0304-3975, 11/2012, Volume 459, pp. 89 - 99
Journal Article
Journal of Physics: Conference Series, ISSN 1742-6588, 05/2018, Volume 1022, Issue 1
Conference Proceeding
Discrete Applied Mathematics, ISSN 0166-218X, 04/2018, Volume 239, pp. 144 - 153
A connected graph is distance-hereditary if any two vertices have the same distance in all of its connected induced subgraphs. This paper proposes a unified... 
Independent perfect dominating sets | Distance-hereditary graphs | Counting problem | Linear-time algorithms | Independent sets | Independent dominating sets | MATHEMATICS, APPLIED | NUMBER | COMPLEXITY | EFFICIENT DOMINATION PROBLEM | TREE
Journal Article
Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 10/2014, Volume 90, Issue 8
We investigate the observational consequences of the early episodically dominating dark energy on the evolution of cosmological structures. For this aim, we... 
BARYON ACOUSTIC-OSCILLATIONS | DISTANCE | PROBE | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Physics - Cosmology and Nongalactic Astrophysics
Journal Article
Discussiones Mathematicae Graph Theory, ISSN 1234-3099, 05/2017, Volume 37, Issue 2, pp. 383 - 397
A set of vertices D of a graph G is a distance 2-dominating set of G if the distance between each vertex u ∊ (V (G) − D) and D is at most two. Let γ (G) denote... 
universal fixer | distance 2 dominating set | prisms of graphs | Universal fixer | Prisms of graphs | Distance 2-dominating set | MATHEMATICS | distance 2-dominating set | UNIVERSAL FIXERS | Grafs, Teoria de | 05 Combinatorics | Teoria de grafs | 05C Graph theory | Matemàtiques i estadística | Matemàtica discreta | Graph theory | Classificació AMS | Àrees temàtiques de la UPC
Journal Article
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, ISSN 0369-8203, 03/2020, Volume 90, Issue 1, pp. 141 - 147
The efficient k-distance domination number ckeoGTHORN is the minimum among the cardinalities of efficient k-distance dominating sets of G. Upper bound in terms... 
Cayley/circulant graph | Distance domination | MULTIDISCIPLINARY SCIENCES | Efficient distance domination
Journal Article
Ars Combinatoria, ISSN 0381-7032, 07/2011, Volume 101, pp. 309 - 320
A monitor is a computer in the network which is able to detect a fault computer among its neighbors. There are two stages of monitoring fault computer: (1)... 
Circulant networks | Liar dominating set | Locating-dominating set | Dominating set in graph theory | circulant networks | MATHEMATICS | liar dominating set | DISTANCE | CODES | SETS | locating-dominating set | GRAPHS
Journal Article
Journal of Parallel and Distributed Computing, ISSN 0743-7315, 2003, Volume 63, Issue 4, pp. 481 - 487
A distance- k dominating set D of a directed graph G is a set of vertices such that for every vertex v of G, there is a vertex u∈ D and the distance between u... 
Distance- k dominating set | Directed split-stars | Distributed algorithms | Interconnection networks | Distance-k dominating set | distributed algorithms | COMPUTER SCIENCE, THEORY & METHODS | directed split-stars | distance-k dominating set | interconnection networks | BONDAGE NUMBER | GRAPHS
Journal Article
Ad Hoc Networks, ISSN 1570-8705, 2007, Volume 5, Issue 4, pp. 504 - 530
We present a clustering technique addressing redundancy for bounded-distance clusters, which means being able to determine the minimum number of cluster-heads... 
Domination in graphs | ( k, r)-dominating sets | Multi-core multicast protocols | Multicast protocols | Ad hoc networks | Multiple domination | Clustering | Distance domination | (k, r)-dominating sets | (k,r)-dominating sets | COMPUTER SCIENCE, INFORMATION SYSTEMS | ENERGY-EFFICIENT | TELECOMMUNICATIONS | Algorithms
Journal Article
International Journal of Mathematical Combinatorics, ISSN 1937-1055, 10/2007, Volume 1, p. 94
Let G be a connected graph of order n, and NC2(G) denote min {|N(u)∪N(v)| : dist(u, v) = 2}, where dist(u, v) is the distance between u and v in G. A cycle C... 
Graphs
Journal Article
Frontiers of Mathematics in China, ISSN 1673-3452, 4/2017, Volume 12, Issue 2, pp. 339 - 357
Let G = (V,A) be a digraph and k ≥ 1 an integer. For u, v ∈ V, we say that the vertex u distance k-dominate v if the distance from u to v at most k. A set D of... 
distance dominating set | 05C20 | generalized Kautz digraph | Mathematics, general | Combinatorial problems | Mathematics | generalized de Bruijn digraph | 05C69 | dominating set | MATHEMATICS | NUMBER | CYCLES | TWIN DOMINATION | GRAPHS | Integers | Networks | Graph theory | Interconnection | Mathematical analysis
Journal Article
Transactions on Combinatorics, ISSN 2251-8657, 09/2016, Volume 5, Issue 3, pp. 1 - 9
A set $S$ of vertices in a graph $G=(V,E)$ is called a total$k$-distance dominating set if every vertex in $V$ is withindistance $k$ of a vertex in $S$. A... 
total $k$-distance dominating set | total $k$-distance domination-critical | Distance domination
Journal Article
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