On the irregularity of uniform hypergraphs

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 … Web9 de fev. de 2024 · On the Keevash-Knox-Mycroft Conjecture. Given and , let be the decision problem for the existence of perfect matchings in -vertex -uniform hypergraphs with minimum -degree at least . For , the decision problem in general -uniform hypergraphs, equivalently , is one of Karp's 21 NP-complete problems. Moreover, for , a …

[1106.4856] Spectra of Uniform Hypergraphs - arXiv.org

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. 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 … iobit easy driver https://infojaring.com

[1901.04027] Extremal problems in uniformly dense …

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. 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, ... http://www.maths.lse.ac.uk/Personal/jozef/papers/rsa22141.pdf onshape jobs

Principal eigenvectors and spectral radii of uniform hypergraphs

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On the irregularity of uniform hypergraphs

probability - Prove that all $k$-uniform hypergraphs $H$ with …

Web15 de jul. de 2024 · Abstract. For 0 ≤ α &lt; 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 ... 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.

On the irregularity of uniform hypergraphs

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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 … 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

Web6 de fev. de 2024 · In this paper we present a lower bound on $\rho(H)$ in terms of vertex degrees and we characterize the extremal hypergraphs attaining the bound, which … Web一站式科研服务平台. 学术工具. 文档翻译; 收录引证; 论文查重; 文档转换

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 … WebFor 0≤α&lt;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 …

Web7 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 …

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 … onshape keyboard shortcutsWeb29 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 … iobit englishWeb6 de fev. de 2024 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv … onshape keychain ideasWebMenu. Journals. SIAM Review; Multiscale Modeling & Simulation; SIAM Journal on Applied Algebra and Geometry; SIAM Journal on Applied Dynamical Systems; SIAM Journal on Applied Mathematics iobit fighterWeb26 de ago. de 2024 · Title: On $3$-uniform hypergraphs avoiding a cycle of length four. Authors: Beka Ergemlidze, Ervin Győri, Abhishek Methuku, Nika Salia, Casey Tompkins. Download PDF Abstract: Subjects: Combinatorics (math.CO) Cite as: arXiv:2008.11372 [math.CO] (or arXiv:2008.11372v1 [math.CO] for this version) iobit firmensitzWeb13 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 … iobit fighter malware proWeb17 de mai. de 2016 · Abstract. The well-known extremal problem on hypergraph colorings is studied. We investigate whether it is possible to color a hypergraph with a fixed … iobit file shredder download