On the irregularity of uniform hypergraphs
Web10 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 … Web1 de mai. de 2024 · For a connected graph G, it is regular if and only if the principal ratio γ = 1, so one can regard γ as a measure of the irregularity for G ... On the spectral radius of …
On the irregularity of uniform hypergraphs
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Web16 de fev. de 2024 · Title: On the Turán density of $\{1, 3\}$-Hypergraphs. Authors: Shuliang Bai, Linyuan Lu. Download PDF Abstract: In this paper, we consider the Turán problems on $\{1,3\}$-hypergraphs. Webadshelp[at]cfa.harvard.edu The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A
Web26 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) 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 ...
Web1 de jan. de 1992 · For r 2 6 it is proved that almost allr-uniform hypergraphs are irregular. A linear upper bound is given for the irregularity strength of hypergraphs of order nand … 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 …
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
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 high school kids talk about eric clarkWeb10 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 … high school kids sit with people at lunchWeb9 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 … how many children does wayne rooney haveWeb7 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 … how many children does wayne carey haveWebMenu. Journals. SIAM Review; Multiscale Modeling & Simulation; SIAM Journal on Applied Algebra and Geometry; SIAM Journal on Applied Dynamical Systems; SIAM Journal on Applied Mathematics how many children does wayne gretzky haveWeb12 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 … high school kids tech summer jobsWebGraph 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 … high school kids tumblr