Results 31 to 40 of about 1,548 (146)
A Theoretical Investigation Based on the Rough Approximations of Hypergraphs
Rough sets are a key tool to model uncertainty and vagueness using upper and lower approximations without predefined functions and additional suppositions.
Musavarah Sarwar
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A Note on Packing of Uniform Hypergraphs
We say that two n-vertex hypergraphs H1 and H2 pack if they can be found as edge-disjoint subhypergraphs of the complete hypergraph Kn. Whilst the problem of packing of graphs (i.e., 2-uniform hypergraphs) has been studied extensively since seventies ...
Konarski Jerzy +2 more
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Hypergraphs are generalization of graphs where each edge (hyperedge) can connect more than two vertices. In simple terms, the hypergraph partitioning problem can be defined as the task of dividing the vertices of hypergraph into two or more roughly equal sized parts such that a cost function on the hyperedges connecting vertices in different parts is ...
Quincey Koziol +13 more
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Granulation of Hypernetwork Models under the q-Rung Picture Fuzzy Environment
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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Fong, Brendan, Spivak, David I.
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Hypergraph coverings and Ramanujan Hypergraphs
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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Complex Neutrosophic Hypergraphs: New Social Network Models
A complex neutrosophic set is a useful model to handle indeterminate situations with a periodic nature. This is characterized by truth, indeterminacy, and falsity degrees which are the combination of real-valued amplitude terms and complex-valued phase ...
Anam Luqman +2 more
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Annotated hypergraphs: models and applications
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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Chain and threshold hypergraphs
Threshold 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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Niche Hypergraphs of Products of Digraphs
If D = (V, A) is a digraph, its niche hypergraph Nℋ(D) = (V, ℰ) has the edge set ℰ={e⊆V||e|≥2∧∃ υ∈V:e=ND−(υ)∨e=ND+(υ)}{\cal E} = \{ {e \subseteq V| | e | \ge 2 \wedge \exists \, \upsilon \in V:e = N_D^ - ( \upsilon ) \vee e = N_D^ + ( \upsilon ...
Sonntag Martin, Teichert Hanns-Martin
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