On the irregularity of uniform hypergraphs

Web26 de mai. de 2024 · Sivasubramanian, S. Spanning trees in complete uniform hypergraphs and a connection to extended r-Shi hyperplane arrangements. arXiv:math/0605083.Google Scholar [32] Warme, D. M. (1998) Spanning Trees in Hypergraphs with Applications to Steiner Trees. Ph.D Thesis, University of Virginia. Web13 de jan. de 2024 · In recent work with Rödl and Schacht it turned out that the regularity method for hypergraphs, established by Gowers and by Rödl et al. about a decade ago, is a suitable tool for extremal problems of this …

Sharp Bounds on the Spectral Radii of Uniform Hypergraphs …

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 the α-spectral radius of irregular uniform hypergraphs. Hongying Lin Center for Applied Mathematics, Tianjin University, ... 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. east hoxton https://larryrtaylor.com

Equitable colorings of nonuniform hypergraphs SpringerLink

Web23 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 … Webchromatic number of r-uniform hypergraphs onnvertices within a factor n1− for any > 0, unless NP ⊆ ZPP. On the positive side, improving a result of Hofmeister and Lefmann, we present an approximation algorithm for coloring r-uniform hypergraphs onnvertices, whose performance ratio is O(n(loglogn)2/(logn)2). 2003 Elsevier Inc. All rights ... Web10 de set. de 2024 · Abstract. For and a uniform hypergraph G, we consider the spectral radius of , which is called the α-spectral radius of G, where and are the diagonal tensor … cultivation chat group seven

Consistency of Spectral Partitioning of Uniform Hypergraphs …

Category:Principal eigenvectors and spectral radii of uniform hypergraphs

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On the irregularity of uniform hypergraphs

On 2- and 3-factorizations of complete 3-uniform hypergraphs of …

WebREGULARITY LEMMA FOR k-UNIFORM HYPERGRAPHS 3 The aim of this paper is to establish a Regularity Lemma for (k+ 1)-uniform hypergraphs (we will refer to it as statement Regularity(k)) which extends Theorem 1.3. For k+1 = 2 (the case of Szemer´edi’s Regularity Lemma), the underlying structure P 1 of a graph H = (V,E) is an auxiliary … Web10 de jun. de 2024 · In , Lu and Peng define higher order walks on hypergraphs for k-uniform hypergraphs as sequences of edges intersecting in exactlys vertices, where the vertices within each edge are ordered. Their work is related to a rich literature on Hamiltonian cycles in k -uniform hypergraphs (e.g. [ 35 , 36 ]) and takes a spectral …

On the irregularity of uniform hypergraphs

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Web13 de out. de 1995 · It is then easy to see that a copy of the original hypergraph H can be embedded in these kn vertices without disrupting the irregularity, or the number of partite classes of the host hypergraph. Note that Theorem 4 gives a chromatic number preserving embedding of uniform hypergraphs into irregular ones. 2. Webm-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

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 … WebSociety for Industrial and Applied Mathematics. 3600 Market Street, 6th Floor Philadelphia, PA 19104 USA

Web12 de set. de 2016 · The authors give upper bounds for the size of 3-uniform hypergraphs avoiding a given odd cycle using the definition of a cycle due to Berge, and extend this … Web6 de fev. de 2024 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv …

Web29 de ago. de 2024 · We determine the unique uniform unicyclic hypergraphs of fixed... Donate to arXiv Please join the Simons Foundation and our generous member …

WebIrregularity Strength of Uniform Hypergraphs A. Gyarfas1, M.S. Jacobson 1, L. Kinch, J. Lehel2 , R.H. Schelp3 Abstract. A hypcrgraph is irregular if no two of its vertices have … cultivation manhwa listWeb15 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 ( H) are the diagonal tensor of degrees and the adjacency tensor of H, respectively. The α-spectra of H is the set of all eigenvalues of Aα ( H) and the α-spectral radius ... east hull chess clubWeb16 de jul. de 2024 · Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share … cultivation chat group downloadWeb21 de mai. de 2024 · The spectral radius \rho (T) of T is the largest modulus of the eigenvalues of T. Let H= (V,E) be a hypergraph with vertex set V and edge set E, where E\subseteq 2^V and 2^V is the power set of V. The number of vertices and edges of H are its order and size, respectively. H is said to be k -uniform hypergraph ( k -graph for … east hull harriersWebOn the irregularity of uniform hypergraphs @article{Liu2024OnTI, title={On the irregularity of uniform hypergraphs}, author={Lele Liu and Liying Kang and Erfang … easthub board of directorsWebMenu. Journals. SIAM Review; Multiscale Modeling & Simulation; SIAM Journal on Applied Algebra and Geometry; SIAM Journal on Applied Dynamical Systems; SIAM Journal on Applied Mathematics east hull boxing clubWeb7 de out. de 2024 · The trace of uniform hypergraphs with application to Estrada index. Yi-Zheng Fan, Jian Zheng, Ya Yang. In this paper we investigate the traces of the … east hudson oral surgery troy ny