Results 71 to 80 of about 14,658 (182)
On $\alpha$-spectral theory of a directed k-uniform hypergraph [PDF]
In this paper, we study a k-uniform directed hypergraph in general form and introduce its adjacency tensor, Laplacian tensor and signless Laplacian tensor. For the $k$-uniform directed hypergraph $\mathcal{H}$ and $0\leq \alpha
Gholam-Hasan Shirdel +2 more
doaj
Two‐dimensional guillotine cutting problem for large objects with non‐rectangular shapes
Abstract In this paper, we address the two‐dimensional single large object placement problem with guillotine cutting constraints, focusing on non‐rectangular shapes. We consider objects with circular or convex polygonal geometries and study a variant that includes defective regions from which no items can be extracted. Rectangular items are cut using a
Carise E. Schmidt +3 more
wiley +1 more source
Link-aware semi-supervised hypergraph [PDF]
(#br)Hypergraph learning has been widely applied to various learning tasks. To ensure learning accuracy, it is essential to construct an informative hypergraph structure that effectively modulates data correlations.
Feiran Jie +3 more
core +1 more source
ABSTRACT Traditional graph representations are insufficient for modelling real‐world phenomena involving multi‐entity interactions, such as collaborative projects or protein complexes, necessitating the use of hypergraphs. While hypergraphs preserve the intrinsic nature of such complex relationships, existing models often overlook temporal evolution in
Xianghe Zhu, Qiwei Yao
wiley +1 more source
Person Re-identification by Multi-hypergraph Fusion
Matching people across nonoverlapping cameras, also known as person re-identification, is an important and challenging research topic. Despite its great demand in many crucial applications such as surveillance, person re-identification is still far ...
Chen, Xiaojing (xchen010@ucr.edu) +4 more
core +1 more source
Graph Convolutional Networks (GCNs) perform well in skeleton action recognition tasks, but their pairwise node connections make it difficult to effectively model high-order dependencies between non-adjacent joints.
Dong Chen +4 more
doaj +1 more source
Density Conditions for k Vertex‐Disjoint Triangles in Tripartite Graphs
ABSTRACT Let n , k be positive integers such that n ≥ k and G be a tripartite graph with parts A , B , C such that ∣ A ∣ = ∣ B ∣ = ∣ C ∣ = n. Denote the edge densities of G [ A , B ] , G [ A , C ] and G [ B , C ] by α , β and γ, respectively. In this paper, we study edge density conditions for the existence of k vertex‐disjoint triangles in a ...
Mingyang Guo, Klas Markström
wiley +1 more source
Chromatic Ramsey Numbers and Two‐Color Turán Densities
ABSTRACT Given a graph G, its 2‐color Turán number ex ( 2 ) ( n , G ) is the maximum number of edges in an n‐vertex graph, such that the edges can be colored with two colors avoiding a monochromatic copy of G. Let π ( 2 ) ( G ) = lim n → ∞ ex ( 2 ) ( n , G ) / n 2 be the 2‐color Turán density of G.
Maria Axenovich, Simon Gaa, Dingyuan Liu
wiley +1 more source
Hypergraph neural networks: from signal processing to convolution, u-nets and beyond
Arce, Gonzalo R.Qian, WeiNetwork data has gained significant attention in signal processing and machine learning communities. Existing research mainly centers on simple graphs, which depict only pairwise connections.
Wang, Fuli
core +1 more source
Hypergraph Label Propagation Network
In recent years, with the explosion of information on the Internet, there has been a large amount of data produced, and analyzing these data is useful and has been widely employed in real world applications.
Wang, Nan +6 more
core +1 more source

