Results 51 to 60 of about 56,011 (266)
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
doaj +1 more source
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
semanticscholar +1 more source
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
semanticscholar +1 more source
The Electronic Journal of Combinatorics, 2010 The notion of pattern hypergraph provides a unified view of several previously studied coloring concepts. A pattern hypergraph $H$ is a hypergraph where each edge is assigned a type $\Pi_i$ that determines which of possible colorings of the edge are proper. A vertex coloring of $H$ is proper if it is proper for every edge.
Dvořák, Zdeněk +3 more
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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
semanticscholar +1 more source
Oriented hypergraphs: Balanceability
Discrete Mathematics, 2022 An oriented hypergraph is an oriented incidence structure that extends the concepts of signed graphs, balanced hypergraphs, and balanced matrices. We introduce hypergraphic structures and techniques that generalize the circuit classification of the signed graphic frame matroid to any oriented hypergraphic incidence matrix via its locally-signed-graphic
Lucas J. Rusnak +4 more
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Dynamical systems on hypergraphs [PDF]
Journal of Physics: Complexity, 2020 Networks are a widely used and efficient paradigm to model real-world systems where basic units interact pairwise. Many body interactions are often at play, and cannot be modelled by resorting to binary exchanges.
T. Carletti, D. Fanelli, Sara Nicoletti
semanticscholar +1 more source
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
semanticscholar +1 more source
A Bounded-Confidence Model of Opinion Dynamics on Hypergraphs [PDF]
SIAM Journal on Applied Dynamical Systems, 2021 People's opinions evolve over time as they interact with their friends, family, colleagues, and others. In the study of opinion dynamics on networks, one often encodes interactions between people in the form of dyadic relationships, but many social ...
Abigail Hickok +4 more
semanticscholar +1 more source
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 ...
openaire +3 more sources