Results 81 to 90 of about 58,352 (274)
The Largest Laplacian and Signless Laplacian H-Eigenvalues of a Uniform Hypergraph [PDF]
In this paper, we show that the largest Laplacian H-eigenvalue of a $k$-uniform nontrivial hypergraph is strictly larger than the maximum degree when $k$ is even. A tight lower bound for this eigenvalue is given.
Hu, Shenglong, Qi, Liqun, Xie, Jinshan
core
Analysis of quantum error correction with symmetric hypergraph states
Graph states have been used to construct quantum error correction codes for independent errors. Hypergraph states generalize graph states, and symmetric hypergraph states have been shown to allow for the correction of correlated errors. In this paper, it
Bruß, Dagmar +2 more
core +1 more source
The aim of this paper is to generalize the notion of the coloring complex of a graph to hypergraphs. We present three different interpretations of those complexes -- a purely combinatorial one and two geometric ones. It is shown, that most of the properties, which are known to be true for coloring complexes of graphs, break down in this more general ...
Breuer, Felix +2 more
openaire +4 more sources
A Universal Meta‐Heuristic Framework for Influence Maximisation in Hypergraphs
ABSTRACT Influence maximisation (IM) aims to select a small number of nodes that are able to maximise their influence in a network and covers a wide range of applications. Despite numerous attempts to provide effective solutions in simple networks, higher‐order interactions between entities in various real‐world systems are usually not taken into ...
Ming Xie +5 more
wiley +1 more source
The signless Laplacian matrix of hypergraphs
In this article, we define signless Laplacian matrix of a hypergraph and obtain structural properties from its eigenvalues. We generalize several known results for graphs, relating the spectrum of this matrix to structural parameters of the hypergraph ...
Cardoso Kauê, Trevisan Vilmar
doaj +1 more source
Multipartite entanglement detection for hypergraph states
We study the entanglement properties of quantum hypergraph states of $n$ qubits, focusing on multipartite entanglement. We compute multipartite entanglement for hypergraph states with a single hyperedge of maximum cardinality, for hypergraph states ...
Bruß, Dagmar +4 more
core +1 more source
The dynamics of criminal collaboration: Multiplex ties in mafia networks
Abstract This study examines how social embeddedness and multiplex relationships shape criminal collaboration within organized crime networks. Drawing on data from three major investigations into the ‘Ndrangheta, we analyze how kinship, clan affiliation, leadership, and prior interactions influence participation in meetings and phone calls.
Francesco Calderoni +2 more
wiley +1 more source
Protein-protein interaction (PPI) analysis based on mathematical modeling is an efficient means of identifying hub proteins, corresponding enzymes and many underlying structures.
Sathyanarayanan Gopalakrishnan +1 more
doaj +1 more source
Semisupervised Hypergraph Discriminant Learning for Dimensionality Reduction of Hyperspectral Image
Semisupervised learning is an effective technique to represent the intrinsic features of a hyperspectral image (HSI), which can reduce the cost to obtain the labeled information of samples.
Fulin Luo +4 more
doaj +1 more source
Large language models for bioinformatics
Abstract With the rapid advancements in large language model technology and the emergence of bioinformatics‐specific language models (BioLMs), there is a growing need for a comprehensive analysis of the current landscape, computational characteristics, and diverse applications.
Wei Ruan +54 more
wiley +1 more source

