On the irregularity of uniform hypergraphs
WebHAMILTON ‘-CYCLES IN UNIFORM HYPERGRAPHS 3 A recent construction of Markstr om and Rucinski ([12]) shows that Proposition 2.1 still holds if we drop the requirement … WebMenu. Journals. SIAM Review; Multiscale Modeling & Simulation; SIAM Journal on Applied Algebra and Geometry; SIAM Journal on Applied Dynamical Systems; SIAM Journal on Applied Mathematics
On the irregularity of uniform hypergraphs
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WebFor 0≤α<1 and a uniform hypergraph G, we consider the spectral radius of Aα(G)=αD(G)+(1−α)A(G), which is called the α-spectral radius of G, where D(G) ... On … Webadshelp[at]cfa.harvard.edu The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A
Web6 de fev. de 2024 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv … WebOn the irregularity of uniform hypergraphs @article{Liu2024OnTI, title={On the irregularity of uniform hypergraphs}, author={Lele Liu and Liying Kang and Erfang …
WebAbstract. A strong vertex coloring of a hypergraph assigns distinct colors to vertices that are contained in a common hyperedge. This captures many previously studied graph coloring problems. We present nearly tight upper and lower bound on approximating general hypergraphs, both offline and online. We then consider various parameters that make ... Web15 de jul. de 2024 · Abstract. For 0 ≤ α < 1 and a k -uniform hypergraph H, the tensor Aα ( H) associated with H is defined as Aα ( H) = αD ( H) + (1 − α) A ( H ), where D (ℋ) and A …
WebAbstract. For 0 ≤ α ---lt--- 1 and a uniform hypergraph G, the α-spectral radius of G is the largest H-eigenvalue of αD (G)+ (1−α)A (G), where D (G) and A (G) are the diagonal tensor of degrees and the adjacency tensor of G, respectively. We give upper bounds for the α-spectral radius of a uniform hypergraph, propose some ...
Web15 de mar. de 2024 · The eccentric connectivity index of a connected hypergraph G with vertex set V (G) is defined as ξ c (G) = ∑ u ∈ V (G) d u η u, where d u denotes the degree of u and η u denotes the eccentricity of u in G.We propose some hypergraph transformations that increase or decrease the eccentric connectivity index of a uniform hypergraph. flying waterWeb23 de jun. de 2011 · Spectra of Uniform Hypergraphs. Joshua Cooper, Aaron Dutle. We present a spectral theory of hypergraphs that closely parallels Spectral Graph Theory. A … flying watchhttp://www.maths.lse.ac.uk/Personal/jozef/papers/rsa22141.pdf green mountain grills jim bowie wifiWebThe study of Hamiltonian cycles in hypergraphs was initiated in [2] where, however, a different definition from the one considered here was introduced. From now on, by a hypergraph we will always mean a 3-uniform hypergraph, that is, a hypergraph where every edge is of size three. Given a set U ⊂ V(H), we denote by H[U] the sub-hypergraph ... green mountain grills logo imagesWebGraph theorists thus turned to the issue of local regularity. A graph is locally regular at a vertex v if all vertices adjacent to v have degree r. A graph is thus locally irregular if for … green mountain grills jim bowie prime plusWeb10 de set. de 2024 · From Figure 3, we see that if is a -uniform hypergraph and is a -uniform hypergraph with a pendant path and , then the distribution of the entries of an eigenvector to along is well determined.. In fact, let be a pendant path in with root . Let be the entries of a positive unit eigenvector to corresponding to . The eigenequation of for is … green mountain grills insulated blanketWebm-uniform hypergraphs for larger values of m, and also the rate of convergence improves for increasing m. Our result provides the first theoretical evidence that establishes the importance of m-way affinities. 1 Introduction The central theme in approaches like kernel machines [1] and spectral clustering [2, 3] is the use flying water board for sale