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The Wiener index, degree distance index and Gutman index of composite hypergraphs and sunflower hypergraphs [PDF]
Topological invariants are numerical parameters of graphs or hypergraphs that indicate its topology and are known as graph or hypergraph invariants. In this paper, topological indices of hypergraphs such as Wiener index, degree distance index and Gutman ...
Sakina Ashraf +3 more
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Signless normalized Laplacian for hypergraphs [PDF]
The spectral theory of the normalized Laplacian for chemical hypergraphs is further investigated. The signless normalized Laplacian is introduced and it is shown that its spectrum for classical hypergraphs coincides with the spectrum of the normalized ...
Eleonora Andreotti, Raffaella Mulas
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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 ...
Muhammad Akram +2 more
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q-Rung Orthopair Fuzzy Hypergraphs with Applications
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.
Ahmad N Al-Kenani +2 more
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Hypergraph and Uncertain Hypergraph Representation Learning Theory and Methods
With the advent of big data and the information age, the data magnitude of various complex networks is growing rapidly. Many real-life situations cannot be portrayed by ordinary networks, while hypergraphs have the ability to describe and characterize ...
Liyan Zhang +5 more
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Sharp Bounds on the Spectral Radii of Uniform Hypergraphs concerning Diameter or Clique Number
In this paper, we defined two classes of hypergraphs, hyperbugs and kite hypergraphs. We show that balanced hyperbugs maximize the spectral radii of hypergraphs with fixed number of vertices and diameter and kite hypergraphs minimize the spectral radii ...
Qiannan Niu, Haizhen Ren, Lei Zhang
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On Clustering Detection Based on a Quadratic Program in Hypergraphs
A proper cluster is usually defined as maximally coherent groups from a set of objects using pairwise or more complicated similarities. In general hypergraphs, clustering problem refers to extraction of subhypergraphs with a higher internal density, for ...
Qingsong Tang
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Link Prediction with Hypergraphs via Network Embedding
Network embedding is a promising field and is important for various network analysis tasks, such as link prediction, node classification, community detection and others.
Zijuan Zhao, Kai Yang, Jinli Guo
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Generalized Hypergraph Coloring
A smooth hypergraph property 𝒫 is a class of hypergraphs that is hereditary and non-trivial, i.e., closed under induced subhypergraphs and it contains a non-empty hypergraph but not all hypergraphs.
Schweser Thomas
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Concentric Plithogenic Hypergraph based on Plithogenic Hypersoft sets – A Novel Outlook [PDF]
Plithogenic Hypersoft sets (PHS) introduced by Smarandache are the extensions of soft sets and hypersoft sets and it was further protracted to plithogenic fuzzy whole Hypersoft set to make it more applicable to multi attribute decision making ...
Nivetha Martin , Florentin Smarandache
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