Advancing explainable MOOC recommendation systems: a morphological operations-based framework on partially ordered neutrosophic fuzzy hypergraphs
Sign Up to like & getrecommendations! Published in 2024 at "Artificial Intelligence Review"
DOI: 10.1007/s10462-024-11018-4
Abstract: Recommendation systems constitute an integral part of nearly all digital service platforms. However, the common assumption in most recommendation systems in the literature is that similar users will be interested in similar items. This assumption… read more here.
Keywords: hypergraphs; ordered neutrosophic; partially ordered; advancing explainable ... See more keywords
Trinque problem: covering complete graphs by plane degree-bounded hypergraphs
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Combinatorial Optimization"
DOI: 10.1007/s10878-015-9978-3
Abstract: Let $$K_n$$Kn be a complete graph drawn on the plane with every vertex incident to the infinite face. For any integers i and d, we define the (i, d)-Trinque Number of $$K_n$$Kn, denoted by $${\mathcal {T}}^d_{i}(K_n)$$Tid(Kn),… read more here.
Keywords: graphs; problem covering; covering complete; trinque problem ... See more keywords
A Note on Generalized Lagrangians of Non-uniform Hypergraphs
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DOI: 10.1007/s11083-016-9385-0
Abstract: Set A⊂ℕ$A\subset {\mathbb N}$ is less than B⊂ℕ$B\subset {\mathbb N}$ in the colex ordering if max(A△B)∈B. In 1980’s, Frankl and Füredi conjectured that the r-uniform graph with m edges consisting of the first m sets… read more here.
Keywords: colex ordering; edge type; question; uniform hypergraphs ... See more keywords
Community detection in hypergraphs through hyperedge percolation
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DOI: 10.1038/s41598-025-19974-9
Abstract: Complex networks often exhibit community structure, with communities corresponding to denser subgraphs in which nodes are closely linked. When modelling systems where interactions extend beyond node pairs to arbitrary numbers of nodes, hypergraphs become necessary,… read more here.
Keywords: hypergraphs; community detection; hyperedge percolation; percolation ... See more keywords
Influential groups for seeding and sustaining nonlinear contagion in heterogeneous hypergraphs
Sign Up to like & getrecommendations! Published in 2022 at "Communications Physics"
DOI: 10.1038/s42005-021-00788-w
Abstract: Contagion phenomena are often the results of multibody interactions—such as superspreading events or social reinforcement—describable as hypergraphs. We develop an approximate master equation framework to study contagions on hypergraphs with a heterogeneous structure in terms… read more here.
Keywords: hypergraphs; groups seeding; nonlinear contagion; influential groups ... See more keywords
Synchronization of phase oscillators on complex hypergraphs.
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DOI: 10.1063/5.0116747
Abstract: We study the effect of structured higher-order interactions on the collective behavior of coupled phase oscillators. By combining a hypergraph generative model with dimensionality reduction techniques, we obtain a reduced system of differential equations for… read more here.
Keywords: phase oscillators; oscillators complex; phase; synchronization phase ... See more keywords
HyperGraphs.jl: representing higher-order relationships in Julia
Sign Up to like & getrecommendations! Published in 2022 at "Bioinformatics"
DOI: 10.1093/bioinformatics/btac347
Abstract: Abstract Summary HyperGraphs.jl is a Julia package that implements hypergraphs. These are a generalization of graphs that allow us to represent n-ary relationships and not just binary, pairwise relationships. High-order interactions are commonplace in biological… read more here.
Keywords: higher order; hypergraphs representing; representing higher; order relationships ... See more keywords
Complex hypergraphs
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.107.024316
Abstract: 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),… read more here.
Keywords: complex hypergraphs; hypergraphs; chygraphs;
Controllability and Observability of Temporal Hypergraphs
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DOI: 10.1109/lcsys.2024.3504393
Abstract: Numerous complex systems, such as those arisen in ecological networks, genomic contact networks, and social networks, exhibit higher-order and time-varying characteristics, which can be effectively modeled using temporal hypergraphs. However, analyzing and controlling temporal hypergraphs… read more here.
Keywords: hypergraphs; observability temporal; temporal hypergraphs; controllability observability ... See more keywords
Pathway Analysis with Signaling Hypergraphs
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DOI: 10.1109/tcbb.2015.2459681
Abstract: Signaling pathways play an important role in the cell’s response to its environment. Signaling pathways are often represented as directed graphs, which are not adequate for modeling reactions such as complex assembly and dissociation, combinatorial… read more here.
Keywords: signaling pathways; analysis signaling; signaling hypergraphs; hypergraph ... See more keywords
Accessible spectrum of graphs
Sign Up to like & getrecommendations! Published in 2021 at "Applicable Analysis and Discrete Mathematics"
DOI: 10.2298/aadm180319007h
Abstract: This paper computes eigenvalues of discrete complete hypergraphs and partitioned hypergraphs. We define positive equivalence relation on hypergraphs that establishes a connection between hypergraphs and graphs. With this regards it makes a connection between spectrum… read more here.
Keywords: spectrum graphs; graphs; hypergraphs; accessible spectrum ... See more keywords