Results 31 to 40 of about 8,148,094 (320)
Neutrosophic special dominating set in neutrosophic graphs [PDF]
The neutrosophic graph is a new version of graph theory that has recently been proposed as an extension of fuzzy graph and intuitionistic fuzzy graph that provides more precision compatibility and flexibility than a fuzzy graph and an intuitionistic ...
Sadegh Banitalebi, Rajab Ali Borzooei
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Disjoint Secure Domination in the Join of Graphs
Let G = (V(G),E(G)) be a simple connected graph. A dominating set S in G is called a secure dominating set in G if for every u ∈ V (G) \ S, there exists v ∈ S ∩ NG(u) such that (S \ {v}) ∪ {u} is a dominating set.
Jonecis Dayap, Enrico Enriquez
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From Gap-ETH to FPT-Inapproximability: Clique, Dominating Set, and More [PDF]
We consider questions that arise from the intersection between theareas of approximation algorithms, subexponential-time algorithms, and fixed-parameter tractable algorithms.
Parinya Chalermsook +6 more
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Inverse Clique Domination in Graphs
Let G be a connected simple graph. A nonempty subset S of the vertex set V (G) is a clique in G if the graph induced by S is complete. A clique S in G is a clique dominating set if it is a dominating set.
Carmelita Loquias +2 more
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Domination in m− polar soft fuzzy graphs
In this paper, we have introduced dominating set, minimal dominating set, independent dominating set, maximal independent dominating set in m − polar soft fuzzy graphs.
S Ramkumar, R Sridevi
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On the parameterized complexity of approximating dominating set [PDF]
We study the parameterized complexity of approximating the k-Dominating Set (domset) problem where an integer k and a graph G on n vertices are given as input, and the goal is to find a dominating set of size at most F(k) · k whenever the graph G has a ...
S. KarthikC. +2 more
semanticscholar +1 more source
On Two Open Problems on Double Vertex-Edge Domination in Graphs
A vertex v of a graph G = ( V , E ) , ve-dominates every edge incident to v, as well as every edge adjacent to these incident edges. A set S ⊆ V is a double vertex-edge dominating set if every edge of E is ve-dominated by at least two
Fang Miao +5 more
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On Resolvability- and Domination-Related Parameters of Complete Multipartite Graphs
Graphs of order n with fault-tolerant metric dimension n have recently been characterized.This paper points out an error in the proof of this characterization. We show that the complete multipartite graphs also have the fault-tolerant metric dimension n,
Sakander Hayat, Asad Khan, Yubin Zhong
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Hereditary Equality of Domination and Exponential Domination in Subcubic Graphs
Let γ(G) and γe(G) denote the domination number and exponential domination number of graph G, respectively. Henning et al., in [Hereditary equality of domination and exponential domination, Discuss. Math. Graph Theory 38 (2018) 275–285] gave a conjecture:
Chen Xue-Gang, Wang Yu-Feng, Wu Xiao-Fei
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This paper is devoted to the online dominating set problem and its variants on trees, bipartite, bounded-degree, planar, and general graphs, distinguishing between connected and not necessarily connected graphs. We believe this paper represents the first
Boyar, Joan +4 more
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