Results 11 to 20 of about 8,249,666 (288)

Domination in m− polar soft fuzzy graphs

open access: yesRatio Mathematica, 2023
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
doaj   +1 more source

Online independent sets

open access: yesTheoretical Computer Science, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Halldórsson, Magnús M.   +3 more
openaire   +1 more source

Eternal Independent Sets in Graphs

open access: yesTheory and Applications of Graphs, 2016
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
doaj   +1 more source

Independent Set Reconfiguration in Cographs [PDF]

open access: yes, 2014
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
core   +2 more sources

Hypergraph Independent Sets

open access: yesCombinatorics, Probability and Computing, 2012
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.
openaire   +3 more sources

Counting Independent Sets in Hypergraphs [PDF]

open access: yesCombinatorics, Probability and Computing, 2014
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.
openaire   +4 more sources

Edge Metric Dimension and Edge Basis of One-Heptagonal Carbon Nanocone Networks

open access: yesIEEE Access, 2022
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
doaj   +1 more source

Critical sets, crowns and local maximum independent sets [PDF]

open access: yesJournal of Global Optimization, 2021
19 pages, 11 ...
Vadim E. Levit, Eugen Mandrescu
openaire   +3 more sources

On the Independence Number of Cayley Digraphs of Clifford Semigroups

open access: yesMathematics, 2023
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
doaj   +1 more source

Ultrafilters and Independent Sets [PDF]

open access: yesTransactions of the American Mathematical Society, 1972
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.
openaire   +1 more source

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