Results 41 to 50 of about 25,758 (195)
Journal of Pure and Applied Algebra, 2019 38 ...
Fong, Brendan, Spivak, David I.
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Hypergraph coverings and Ramanujan Hypergraphs
, 2023 In this paper we investigate Ramanujan hypergraphs by using hypergraph coverings. We first show that the spectrum of a $k$-fold covering $\bar{H}$ of a connected hypergraph $H$ contains the spectrum of $H$, and that it is the union of the spectrum of $H$ and the spectrum of an incidence-signed hypergraph with $H$ as underlying hypergraph if $k=2 ...
Song, Yi-Min +2 more
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Strong Products of Hypergraphs: Unique Prime Factorization Theorems and Algorithms [PDF]
, 2013 It is well-known that all finite connected graphs have a unique prime factor decomposition (PFD) with respect to the strong graph product which can be computed in polynomial time.
Hellmuth, Marc +2 more
core +1 more source
Granulation of Hypernetwork Models under the q-Rung Picture Fuzzy Environment
Mathematics, 2019 In this paper, we define q-rung picture fuzzy hypergraphs and illustrate the formation of granular structures using q-rung picture fuzzy hypergraphs and level hypergraphs.
Anam Luqman +2 more
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Annotated hypergraphs: models and applications
Applied Network Science, 2020 Hypergraphs offer a natural modeling language for studying polyadic interactions between sets of entities. Many polyadic interactions are asymmetric, with nodes playing distinctive roles.
Philip Chodrow, Andrew Mellor
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On the Chromatic Thresholds of Hypergraphs
, 2013 Let F be a family of r-uniform hypergraphs. The chromatic threshold of F is the infimum of all non-negative reals c such that the subfamily of F comprising hypergraphs H with minimum degree at least $c \binom{|V(H)|}{r-1}$ has bounded chromatic number ...
DHRUV MUBAYI +6 more
core +1 more source
Hypergraph partitioning using tensor eigenvalue decomposition.
PLoS ONE, 2023 Hypergraphs have gained increasing attention in the machine learning community lately due to their superiority over graphs in capturing super-dyadic interactions among entities.
Deepak Maurya, Balaraman Ravindran
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Combinatorics, Probability and ComputingAbstract For $\ell \geq 3$ , an $\ell$
Lior Gishboliner, Ethan Honest
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Leveraging Artificial Intelligence and Large Language Models for Cancer Immunotherapy
Advanced Science, EarlyView.Cancer immunotherapy faces challenges in predicting treatment responses and understanding resistance mechanisms. Artificial intelligence (AI) and machine learning (ML) offer powerful solutions for cancer immunotherapy in patient stratification, biomarker discovery, treatment strategy optimization, and foundation model development.
Xinchao Wu +4 more
wiley +1 more source
Chain and threshold hypergraphs
AKCE International Journal of Graphs and CombinatoricsThreshold graphs and chain graphs are the graphs with maximum spectral radius among the family of all connected graphs and connected bipartite graphs, respectively.
Shashwath S. Shetty, Arathi Bhat K
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