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On the One Dimensional Poisson Random Geometric Graph [PDF]
Journal of Probability and Statistics, 2011 Given a Poisson process on a bounded interval, its random geometric graph is the graph whose vertices are the points of the Poisson process, and edges exist between two points if and only if their distance is less than a fixed given threshold. We compute
L. Decreusefond, E. Ferraz
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Interval-Valued Fuzzy Soft Graphs
Topological Algebra and its Applications, 2017 In this paper, we combine concepts of interval-valued fuzzy soft sets and graph theory. Then we introduce notations of interval-valued fuzzy soft graphs and complete interval-valued fuzzy soft graphs.
Zihni Onur +2 more
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On some subclasses of interval catch digraphs
Electronic Journal of Graph Theory and Applications, 2022 A digraph G = (V, E) is an interval catch digraph if for each vertex v ∈ V, one can associate an interval on real line and a point within it (say (Iv, pv)) in such a way that uv ∈ E if and only if pv ∈ Iu. It was introduced by Maehara in 1984.
Sanchita Paul, Shamik Ghosh
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International Journal of Mathematics for Industry, 2022 [Formula: see text]-labeling problem ([Formula: see text]-[Formula: see text]) is an important topic in discrete mathematics due to its various applications, like in frequency assignment in mobile communication systems, signal processing, circuit design,
Sk. Amanathulla +2 more
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On characterizing proper max-point-tolerance graphs
AKCE International Journal of Graphs and Combinatorics, 2023 Max-point-tolerance graphs (MPTG) were introduced by Catanzaro et al. in 2017 as a generalization of interval graphs. This graph class has many practical applications in the study of the human genome as well as in signal processing for networks. The same
Sanchita Paul
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Cleaning Interval Graphs [PDF]
Algorithmica, 2011 We investigate a special case of the Induced Subgraph Isomorphism problem, where both input graphs are interval graphs. We show the NP-hardness of this problem, and we prove fixed-parameter tractability of the problem with non-standard parameterization, where the parameter is the difference |V(G)|-|V(H)|, with G and H being the larger and the smaller ...
Dániel Marx, Ildikó Schlotter
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A four-sweep LBFS recognition algorithm for interval graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 Graph ...
Peng Li, Yaokun Wu
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Certain operations on interval-valued picture fuzzy graphs with application
International Journal of Mathematics for Industry, 2023 Graph theory has various applications in computer science, such as image segmentation, clustering, data mining, image capturing, and networking. Fuzzy graph (FG) theory has been widely adopted to handle uncertainty in graph-related problems.
Biswajit Das Adhikari +3 more
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Exactly Hittable Interval Graphs
Discrete Mathematics & Theoretical Computer Science, 2023 Given a set system $\mathcal{X} = \{\mathcal{U},\mathcal{S}\}$, where $\mathcal{U}$ is a set of elements and $\mathcal{S}$ is a set of subsets of $\mathcal{U}$, an exact hitting set $\mathcal{U}'$ is a subset of $\mathcal{U}$ such that each subset in $\mathcal{S}$ contains exactly one element in $\mathcal{U}'$.
S. M. Dhannya +2 more
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