Results 1 to 10 of about 11,127 (100)

Signless normalized Laplacian for hypergraphs [PDF]

open access: yesElectronic Journal of Graph Theory and Applications, 2022
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
doaj   +2 more sources

Regular Single Valued Neutrosophic Hypergraphs [PDF]

open access: yesNeutrosophic Sets and Systems, 2016
In this paper, we define the regular and totally regular single valued neutrosophic hypergraphs, and discuss the order and size along with properties of regular and totally regular single valued neutrosophic hypergraphs.
Muhammad Aslam Malik   +3 more
doaj   +4 more sources

Regular Bipolar Single Valued Neutrosophic Hypergraphs [PDF]

open access: yesNeutrosophic Sets and Systems, 2016
In this paper, we define the regular and totally regular bipolar single valued neutrosophic hypergraphs, and discuss the order and size along with properties of regular and totally regular bipolar single valued neutrosophic hypergraphs. We extend work on
Muhammad Aslam Malik   +3 more
doaj   +5 more sources

Complex Neutrosophic Hypergraphs: New Social Network Models

open access: yesAlgorithms, 2019
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
exaly   +3 more sources

Recursively Constructed Uniform Hypergraphs

open access: yesAlgorithms
In this work, we introduce and study a generalization for r-uniform hypergraphs of complement-reducible graphs, the so-called co-graphs. The operations for r-join-hypergraphs are the binary disjoint union of two given r-join-hypergraphs and the r-nary ...
Frank Gurski   +2 more
doaj   +2 more sources

The Wiener index, degree distance index and Gutman index of composite hypergraphs and sunflower hypergraphs

open access: yesHeliyon, 2022
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
doaj   +1 more source

Resolvability in Hypergraphs [PDF]

open access: yes, 2023
This article presents an extension of the study of metric and partition dimension to hypergraphs. We give sharp lower bounds for the metric and partition dimension of hypergraphs in general and give exact values under specified ...
Javaid, Imran   +3 more
core   +4 more sources

Hypergraph and Uncertain Hypergraph Representation Learning Theory and Methods

open access: yesMathematics, 2022
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
doaj   +1 more source

Sharp Bounds on the Spectral Radii of Uniform Hypergraphs concerning Diameter or Clique Number

open access: yesDiscrete Dynamics in Nature and Society, 2021
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
doaj   +1 more source

On Clustering Detection Based on a Quadratic Program in Hypergraphs

open access: yesJournal of Mathematics, 2022
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
doaj   +1 more source

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