Results 51 to 60 of about 56,162 (272)
Random walks on hypergraphs [PDF]
Physical Review E, 2019 In the past 20 years network science has proven its strength in modeling many real-world interacting systems as generic agents, the nodes, connected by pairwise edges. Nevertheless, in many relevant cases, interactions are not pairwise but involve larger
T. Carletti +3 more
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Nonbacktracking spectral clustering of nonuniform hypergraphs [PDF]
SIAM Journal on Mathematics of Data Science, 2022 Spectral methods offer a tractable, global framework for clustering in graphs via eigenvector computations on graph matrices. Hypergraph data, in which entities interact on edges of arbitrary size, poses challenges for matrix representations and ...
Philip S. Chodrow +2 more
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Detecting informative higher-order interactions in statistically validated hypergraphs [PDF]
Communications Physics, 2021 Recent empirical evidence has shown that in many real-world systems, successfully represented as networks, interactions are not limited to dyads, but often involve three or more agents at a time.
F. Musciotto, F. Battiston, R. Mantegna
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Regular Bipolar Single Valued Neutrosophic Hypergraphs [PDF]
Neutrosophic Sets and Systems, 2016 In this paper, we define the regular and totally regular bipolar single valued neutrosophic hypergraphs, and discuss the order and size along with properties of regular and totally regular bipolar single valued neutrosophic hypergraphs. We extend work on
Muhammad Aslam Malik +3 more
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Physical Review E, 2023 Providing an abstract representation of natural and human complex structures is a challenging problem. Accounting for the system heterogenous components while allowing for analytical tractability is a difficult balance. Here I introduce complex hypergraphs (chygraphs), bringing together concepts from hypergraphs, multi-layer networks, simplicial ...
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Evolutionary Game Model of Group Choice Dilemmas on Hypergraphs. [PDF]
Physical Review Letters, 2021 We introduce an evolutionary game on hypergraphs in which decisions between a risky alternative and a safe one are taken in social groups of different sizes.
Andrea Civilini +2 more
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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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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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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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How choosing random-walk model and network representation matters for flow-based community detection in hypergraphs [PDF]
Communications Physics, 2021 Hypergraphs offer an explicit formalism to describe multibody interactions in complex systems. To connect dynamics and function in systems with these higher-order interactions, network scientists have generalised random-walk models to hypergraphs and ...
Anton Eriksson +4 more
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