Results 121 to 130 of about 56,162 (272)
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In 1935, Philip Hall published what is often referred to as ‘Hall's marriage theorem’ in a short paper (P. Hall, J. Lond. Math. Soc. (1) 10 (1935), no. 1, 26–30.) This paper has been very influential. I state the theorem and outline Hall's proof, together with some equivalent (or stronger) earlier results, and proceed to discuss some the many ...
Peter J. Cameron
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q-Rung Orthopair Fuzzy Hypergraphs with Applications
Mathematics, 2019 The concept of q-rung orthopair fuzzy sets generalizes the notions of intuitionistic fuzzy sets and Pythagorean fuzzy sets to describe complicated uncertain information more effectively.
Anam Luqman +2 more
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Eigenvalues of Non-Regular Linear-Quasirandom Hypergraphs [PDF]
, 2014 Chung, Graham, and Wilson proved that a graph is quasirandom if and only if there is a large gap between its first and second largest eigenvalue. Recently, the authors extended this characterization to k-uniform hypergraphs, but only for the so-called ...
Lenz, John, Mubayi, Dhruv
core
Colorful Subhypergraphs in Kneser Hypergraphs [PDF]
The Electronic Journal of Combinatorics, 2014 Using a $\mathbb{Z}_q$-generalization of a theorem of Ky Fan, we extend to Kneser hypergraphs a theorem of Simonyi and Tardos that ensures the existence of multicolored complete bipartite graphs in any proper coloring of a Kneser graph. It allows to derive a lower bound for the local chromatic number of Kneser hypergraphs (using a natural definition of
openaire +3 more sources
CoRoFR: Community Detection of Feature Graph Improves Feature Selection Using Robust Fuzzy Rough Set
Advanced Intelligent Systems, Volume 7, Issue 12, December 2025.In machine learning, features often function as communities in many tasks, especially in medicine. However, existing feature selection methods struggle to mine feature collaborations, which can boost predictive performance. Moreover, they are noise‐sensitive, leading to suboptimal feature selection and accuracy degradation.
Duanyang Feng +4 more
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Journal of Combinatorial Designs, Volume 33, Issue 12, Page 456-470, December 2025.ABSTRACT A family ℱ of subsets of [ n ] = { 1 , 2 , … , n } shatters a set A ⊆ [ n ] if for every A ′ ⊆ A, there is an F ∈ ℱ such that F ∩ A = A '. We develop a framework to analyze f ( n , k , d ), the maximum possible number of subsets of [ n ] of size d that can be shattered by a family of size k.
Noga Alon +2 more
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Hypergroups Defined on Hypergraphs and their Regular Relations [PDF]
, 2022 M. Al Tahan, BIJAN DAVVAZ
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PLNet: Persistent Laplacian neural network for protein–protein binding free energy prediction
Protein Science, Volume 34, Issue 12, December 2025.Abstract Recent advances in topology‐based modeling have greatly improved molecular prediction tasks, particularly in protein–ligand binding affinity. However, when the focus shifts to predicting protein–protein interactions (PPIs) binding free energy, the question becomes significantly more challenging due to the ineffective use of topological ...
Xingjian Xu +3 more
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Modularity Definition and Optimization Algorithm for Community Detection in Signed Hypergraphs
ComplexityThe analysis of super-dyadic relations through hypergraphs is gradually gaining attention, with its community structure analysis playing a crucial role in computational social science.
Wei Du, Guangyu Li
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Analysis of hub parameters in fuzzy hypergraphs extending to intuitionistic fuzzy threshold hypergraphs: Applications in designing transport networks in amusement parks using hub hyperpaths [PDF]
Notes on IFSA hypergraph is a generalization of a graph where an edge can connect any number of vertices. In this paper, many different aspects of fuzzy hypergraphs and their applications are examined.
K. K. Myithili, C. Nandhini
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