Results 61 to 70 of about 11,127 (100)

Calculus of variations on hypergraphs [PDF]

We have established a coherent framework for applying variational methods to partial differential equations on hypergraphs, which includes the propositions of calculus and function spaces on hypergraphs.
Shao, Mengqiu, Tian, Yulu, Zhao, Liang
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Decomposing hypergraphs into k-colorable hypergraphs [PDF]

Transactions on Combinatorics, 2014
For a given hypergraph $H$ with chromatic number $chi(H)$ and with no edge containing only one vertex, it is shown that the minimum number $l$ for which there exists a partition (also a covering) ${E_1,E_2,ldots,E_l}$ for $E(H)$, such that the ...
Gholamreza Omidi , Khosro Tajbakhsh
doaj  

The complexity of recognizing $ABAB$-free hypergraphs [PDF]

Discrete Mathematics & Theoretical Computer Science
The study of geometric hypergraphs gave rise to the notion of $ABAB$-free hypergraphs. A hypergraph $\mathcal{H}$ is called $ABAB$-free if there is an ordering of its vertices such that there are no hyperedges $A,B$ and vertices $v_1,v_2,v_3,v_4$ in this
Gábor Damásdi, Balázs Keszegh, Dömötör Pálvölgyi, Karamjeet Singh   +3 more
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Colourings of hypergraphs [PDF]

, 1976
In Chapter 2, we describe some generalized chromatic numbers of graphs. In Chapter 3, we describe how these may be regarded as chromatic numbers of associated hypergraphs.
Jones, Rhys Price
core  

Some algebraic properties of hypergraphs [PDF]

, 2011
summary:We consider Stanley-Reisner rings $k[x_1,\ldots ,x_n]/I(\mathcal {H})$ where $I(\mathcal {H})$ is the edge ideal associated to some particular classes of hypergraphs.
Eric Emtander, Mohammadi, Fatemeh, Emtander, Eric, Fatemeh Mohammadi, Somayeh Moradi, Moradi, Somayeh   +5 more
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A note on self-complementary hypergraphs [PDF]

Opuscula Mathematica, 2005
In the paper we describe all self-complementary hypergraphs. It turns out that such hypergraphs exist if and only if the number of vertices of the hypergraph is of the form \(n=2^k\). This answers a conjecture posed by A.
Małgorzata Zwonek
doaj  

Quantum Contextual Hypergraphs, Operators, Inequalities, and Applications in Higher Dimensions

Entropy
Quantum contextuality plays a significant role in supporting quantum computation and quantum information theory. The key tools for this are the Kochen–Specker and non-Kochen–Specker contextual sets.
Mladen Pavičić
doaj   +1 more source

Spectra of Complex Unit Hypergraphs [PDF]

A complex unit hypergraph is a hypergraph where each vertex-edge incidence is given a complex unit label. We define the adjacency, incidence, Kirchoff Laplacian and normalized Laplacian of a complex unit hypergraph and study each of them.
Reff, Nathan, Mulas, Raffaella
core   +3 more sources

A Hypergraph Data Model for Expert-Finding in Multimedia Social Networks

Information, 2019
Online Social Networks (OSNs) have found widespread applications in every area of our life. A large number of people have signed up to OSN for different purposes, including to meet old friends, to choose a given company, to identify expert users about a ...
Flora Amato, Giovanni Cozzolino, Giancarlo Sperlì   +2 more
doaj   +1 more source

PROPERTIES OF BIPOLAR FUZZY HYPERGRAPHS

, 2013
In this article, we apply the concept of bipolar fuzzy sets to hypergraphs and investigate some properties of bipolar fuzzy hypergraphs.  We introduce the notion of A− tempered bipolar fuzzy hypergraphs and present some of their properties.  We
Akram, M., Sarwar, S., Dudek, W.A.
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