Results 11 to 20 of about 8,249,666 (288)
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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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Halldórsson, Magnús M. +3 more
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Eternal Independent Sets in Graphs
The use of mobile guards to protect a graph has received much attention in the literature of late in the form of eternal dominating sets, eternal vertex covers and other models of graph protection.
Yair Caro, William Klostermeyer
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Independent Set Reconfiguration in Cographs [PDF]
We study the following independent set reconfiguration problem, called TAR-Reachability: given two independent sets $I$ and $J$ of a graph $G$, both of size at least $k$, is it possible to transform $I$ into $J$ by adding and removing vertices one-by-one,
AE Mouawad +21 more
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The study of extremal problems related to independent sets in hypergraphs is a problem that has generated much interest. There are a variety of types of independent sets in hypergraphs depending on the number of vertices from an independent set allowed in an edge.
Cutler, Jonathan, Radcliffe, A. J.
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Counting Independent Sets in Hypergraphs [PDF]
Let G be a triangle-free graph with n vertices and average degree t. We show that G contains at least ${\exp\biggl({1-n^{-1/12})\frac{1}{2}\frac{n}{t}\ln t} \biggl(\frac{1}{2}\ln t-1\biggr)\biggr)}$ independent sets. This improves a recent result of the first and third authors [8]. In particular, it implies that as n → ∞, every triangle-free graph on n
Cooper, J., Dutta, K., Mubayi, D.
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Edge Metric Dimension and Edge Basis of One-Heptagonal Carbon Nanocone Networks
A molecular (chemical) graph is a simple connected graph, where the vertices represent the compound’s atoms and the edges represent bonds between the atoms, and the degree (valence) of every vertex (atom) is not more than four.
Karnika Sharma +2 more
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Critical sets, crowns and local maximum independent sets [PDF]
19 pages, 11 ...
Vadim E. Levit, Eugen Mandrescu
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On the Independence Number of Cayley Digraphs of Clifford Semigroups
Let S be a Clifford semigroup and A a subset of S. We write Cay(S,A) for the Cayley digraph of a Clifford semigroup S relative to A. The (weak, path, weak path) independence number of a graph is the maximum cardinality of an (weakly, path, weakly path ...
Krittawit Limkul, Sayan Panma
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Ultrafilters and Independent Sets [PDF]
Independent families of sets and of functions are used to prove some theorems about ultrafilters. All of our results are well known to be provable from some form of the generalized continuum hypothesis, but had remained open without such an assumption.
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