Results 61 to 70 of about 56,011 (266)
Effective epidemic containment strategy in hypergraphs
Physical Review Research, 2021 Recently, hypergraphs have attracted considerable interest from the research community as a generalization of networks capable of encoding higher-order interactions, which commonly appear in both natural and social systems.
Bukyoung Jhun
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Coloring d-Embeddable k-Uniform Hypergraphs [PDF]
, 2014 This paper extends the scenario of the Four Color Theorem in the following way. Let H(d,k) be the set of all k-uniform hypergraphs that can be (linearly) embedded into R^d.
Heise, Carl Georg +3 more
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Random Structures & Algorithms, 2012 AbstractThis paper is motivated by the question of how global and dense restriction sets in results from extremal combinatorics can be replaced by less global and sparser ones. The result we consider here as an example is Turán's theorem, which deals with graphs G = ([n],E) such that no member of the restriction set \documentclass{article} \usepackage ...
Allen, Peter +3 more
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Elementary definability of the class of universal hypergraphic automata in the class of semigroups [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2022 Hypergraphic automata are automata, state sets and output symbol sets of which are hypergraphs, being invariant under actions of transition and output functions. Universally attracting objects in the category of hypergraphic automata are called universal
Molchanov, Vladimir Aleksandrovich +1 more
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Social contagion models on hypergraphs [PDF]
Physical Review Research, 2019 Our understanding of the dynamics of complex networked systems has increased significantly in the last two decades. However, most of our knowledge is built upon assuming pairwise relations among the system's components.
G. F. de Arruda, G. Petri, Y. Moreno
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Analyzing Dynamic Hypergraphs with Parallel Aggregated Ordered Hypergraph Visualization
IEEE Transactions on Visualization and Computer Graphics, 2021 Parallel Aggregated Ordered Hypergraph(PAOH) is a novel technique to visualize dynamic hypergraphs. Hypergraphs are a generalization of graphs where edges can connect several vertices.
Paola Valdivia +4 more
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Tiling multipartite hypergraphs in quasi-random hypergraphs
Journal of Combinatorial Theory, Series B, 2023 22 pages.
Ding, Laihao +4 more
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Hypergraphs in m-Polar Fuzzy Environment
Mathematics, 2018 Fuzzy graph theory is a conceptual framework to study and analyze the units that are intensely or frequently connected in a network. It is used to study the mathematical structures of pairwise relations among objects. An m-polar fuzzy (mF, for short) set
Muhammad Akram, Gulfam Shahzadi
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A Theoretical Investigation Based on the Rough Approximations of Hypergraphs
Journal of Mathematics, 2022 Rough sets are a key tool to model uncertainty and vagueness using upper and lower approximations without predefined functions and additional suppositions.
Musavarah Sarwar
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Consensus dynamics on temporal hypergraphs [PDF]
Physical Review E, 2021 We investigate consensus dynamics on temporal hypergraphs that encode network systems with time-dependent, multiway interactions. We compare these consensus processes with dynamics evolving on projections that remove the temporal and/or the multiway ...
Leonie Neuhäuser +2 more
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