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Antipodal Interval-Valued Fuzzy Graphs [PDF]
International Journal of Applications of Fuzzy Sets and Artificial
Intelligence (ISSN 2241-1240), Vol. 3 ( 2013), 107-130, 2014 Concepts of graph theory have applications in many areas of computer science including data mining, image segmentation, clustering, image capturing, networks, etc . An interval-valued fuzzy set is a generalization of the notion of a fuzzy set. Interval-valued fuzzy models give more precision, flexibility and compatibility to the system as compared to ...
arxiv
Interval Graphs with Containment Restrictions [PDF]
Proceedings of the Thirty-Ninth Southeastern International
Conference on Combinatorics, Graph Theory and Computing. Congr. Numer. 191
(2008), 117-128, 2011 An interval graph is proper iff it has a representation in which no interval contains another. Fred Roberts characterized the proper interval graphs as those containing no induced star $K_{1,3}$. Proskurowski and Telle have studied $q$-proper graphs, which are interval graphs having a representation in which no interval is properly contained in more ...
arxiv
METRICS FOR EVALUATING CONSISTENCY IN DISTRIBUTED DATASTORES
Сучасний стан наукових досліджень та технологій в промисловості, 2020 The subject of the paper is metrics for evaluating consistency of distributed datastore as one of main CAP-guarantees, more precisely, criteria for reliable distributed datastore. The goal of the research is investigation of the ability to develop such a
Galyna Zholtkevych
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arXiv, 2011 We work out the graph limit theory for dense interval graphs. The theory developed departs from the usual description of a graph limit as a symmetric function $W(x,y)$ on the unit square, with $x$ and $y$ uniform on the interval $(0,1)$. Instead, we fix a $W$ and change the underlying distribution of the coordinates $x$ and $y$.
arxiv
Unifying interval maps and branching systems with applications to relative graph C*-algebras [PDF]
arXiv, 2022 We describe Markov interval maps via branching systems and develop the theory of relative branching systems, characterizing when the associated representations of relative graph C*-algebras are faithful. When the Markov interval maps $f$ have escape sets, we use our results to characterize injectivity of the associated relative graph algebra ...
arxiv
Signed interval graphs and bigraphs: A generalization of interval graphs and bigraphs [PDF]
arXiv, 2022 In this paper, we define and characterize signed interval graphs and bigraphs introducing the concept of negative interval. Also we have shown that these classes of graphs are respectively a generalization of well known classes of interval graphs and interval bigraphs.
arxiv
On hybrid order dimension [PDF]
arXiv, 2020 The notion of interval order was introduced by Norbert Wiener \cite{wie} in order to clarify the relation between the notion of an instant of time and that of a period of time. This was a problem on which Bertrand Russell \cite{rus} worked at the time.
arxiv
Graph classes equivalent to 12-representable graphs [PDF]
arXiv, 2022 Jones et al. (2015) introduced the notion of $u$-representable graphs, where $u$ is a word over $\{1, 2\}$ different from $22\cdots2$, as a generalization of word-representable graphs. Kitaev (2016) showed that if $u$ is of length at least 3, then every graph is $u$-representable.
arxiv
MathematicsThis paper is concerned with exponential synchronization for a class of coupled neural networks with hybrid delays and stochastic distributed delayed impulses.
Gang Zhang, Yinfang Song, Xiaoyou Liu
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Yanbu Journal of Engineering and Science, 2022 With the advent of employing bio-fuels along with the diesel in compression ignition engines the study of performance and emission characteristics have occupied the prominence, owing to diversified multi responses.
Syed Yousufuddin +2 more
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