Results 61 to 70 of about 56,162 (272)
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
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
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
doaj +1 more source
Tiling multipartite hypergraphs in quasi-random hypergraphs
Journal of Combinatorial Theory, Series B, 2023 22 pages.
Ding, Laihao +4 more
openaire +3 more sources
Topology and its Applications, 2011 We investigate a family of polytopes introduced by E.M.\ Feichtner, A.\ Postnikov and B.\ Sturmfels, which were named nestohedra. The vertices of these polytopes may intuitively be understood as constructions of hypergraphs. Limit cases in this family of polytopes are, on the one end, simplices, and, on the other end, permutohedra.
Došen, Kosta, Petrić, Zoran
openaire +3 more sources
Quasi‐random hypergraphs [PDF]
Random Structures & Algorithms, 1989 AbstractWe introduce an equivalence class of varied properties for hypergraphs. Any hypergraph possessing any one of these properties must of necessity possess them all. Since almost all random hypergraphs share these properties, we term these properties quasi‐random.
Chung, F. R. K., Graham, R. L.
openaire +3 more sources
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
semanticscholar +1 more source
Directed n-Superhypergraphs Incorporating Bipolar Fuzzy Information: A Multi-Tier Framework for Modeling Bipolar Uncertainty in Complex Networks [PDF]
Neutrosophic Sets and SystemsGraph theory studies the mathematical structures of vertices and edges to model relationships and connectivity. Hypergraphs extend this framework by allowing hyperedges to connect arbitrarily many vertices at once [1], and Super-HyperGraphs further ...
Florentin Smarandache, Takaaki Fujita
doaj +1 more source
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
core +1 more source
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
doaj +1 more source