Results 41 to 50 of about 41,298 (230)

Hypergraph coverings and Ramanujan Hypergraphs

, 2023
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, Fan, Yi-Zheng, Miao, Zhengke   +2 more
openaire   +2 more sources

MSHC: a multi-stage hypergraph clustering algorithm

Shenzhen Daxue xuebao. Ligong ban
As a high-dimensional extension of ordinary graphs, hypergraphs can more flexibly reflect high-order complex relationships between nodes. Hypergraph clustering aims to discover complex high-order correlations in powerful hypergraph structures.
ZHANG Chunying, WANG Jing, LIU Lu, LAN Siwu, ZHANG Qingda   +4 more
doaj   +1 more source

Entropic measure and hypergraph states

, 2013
We investigate some properties of the entanglement of hypergraph states in purely hypergraph theoretical terms. We first introduce an approach for computing local entropic measure on qubit t of a hypergraph state by using the Hamming weight of the so ...
Bao, Yan-ru, Li, Zong-shang, Ma, Yi-ping, Qu, Ri, Wang, Juan   +4 more
core   +1 more source

Hypergraph-Enhanced Textual-Visual Matching Network for Cross-Modal Remote Sensing Image Retrieval via Dynamic Hypergraph Learning

IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2023
Cross-modal remote sensing (RS) image retrieval aims to retrieve RS images using other modalities (e.g., text) and vice versa. The relationship between objects in the RS image is complex, i.e., the distribution of multiple types of objects is uneven ...
Fanglong Yao, Xian Sun, Nayu Liu, Changyuan Tian, Liangyu Xu, Leiyi Hu, Chibiao Ding   +6 more
doaj   +1 more source

Hypergraph Computation

Engineering
Practical real-world scenarios such as the Internet, social networks, and biological networks present the challenges of data scarcity and complex correlations, which limit the applications of artificial intelligence. The graph structure is a typical tool
Yue Gao, Shuyi Ji, Xiangmin Han, Qionghai Dai   +3 more
doaj   +1 more source

Extreme violation of local realism in quantum hypergraph states

, 2016
Hypergraph states form a family of multiparticle quantum states that generalizes the well-known concept of Greenberger-Horne-Zeilinger states, cluster states, and more broadly graph states.
Budroni, Costantino, Gachechiladze, Mariami, Gühne, Otfried   +2 more
core   +1 more source

Magic of quantum hypergraph states [PDF]

Quantum
Magic, or nonstabilizerness, characterizes the deviation of a quantum state from the set of stabilizer states, playing a fundamental role in quantum state complexity and universal fault-tolerant quantum computing.
Junjie Chen, Yuxuan Yan, You Zhou
doaj   +1 more source

Niche hypergraphs

Discussiones Mathematicae Graph Theory, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Garske Christian, Sonntag Martin, Teichert Hanns-Martin   +2 more
openaire   +3 more sources

A Note on Set Systems with no Union of Cardinality 0 modulo m [PDF]

Discrete Mathematics & Theoretical Computer Science, 2003
Alon, Kleitman, Lipton, Meshulam, Rabin and Spencer (Graphs. Combin. 7 (1991), no. 2, 97-99) proved, that for any hypergraph F ={F 1,F 2,…, F d(q-1)+1 }, where q is a prime-power, and d denotes the maximal degree of the hypergraph, there exists
Vince Grolmusz
doaj   +2 more sources

Hypergraph Modelling for Geometric Model Fitting

, 2016
In this paper, we propose a novel hypergraph based method (called HF) to fit and segment multi-structural data. The proposed HF formulates the geometric model fitting problem as a hypergraph partition problem based on a novel hypergraph model.
Lai, Taotao, Suter, David, Wang, Hanzi, Xiao, Guobao   +3 more
core   +1 more source