On the irregularity of uniform hypergraphs

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August undefined, 2024

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 … 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 ...

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

Web21 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 … 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, ... optichata

On the eccentric connectivity index of uniform hypergraphs

WebIn mathematics, a hypergraph is a generalization of a graph in which an edge can join any number of vertices.In contrast, in an ordinary graph, an edge connects exactly two … WebGraph 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 … Web6 de fev. de 2024 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv … portland district attorney office

On the α-spectra of Uniform Hypergraphs and Its …

On the irregularity of uniform hypergraphs

Irregular embeddings of hypergraphs with fixed chromatic number

Web1 de jan. de 2013 · Abstract. Like in most fruitful mathematical theories, the theory of hypergraphs has many applications. Hypergraphs model many practical problems in many different sciences. it makes very little time (20 years) that the theory of hypergraphs is used to model situations in the applied sciences. We find this theory in psychology, … 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 …

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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 ( 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 ... Web16 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 …

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 … 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 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

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 ... portland dmv appointmentWebAbstract. 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 … opticharge battery chargerWeb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 optichannel marketingWebMenu. Journals. SIAM Review; Multiscale Modeling & Simulation; SIAM Journal on Applied Algebra and Geometry; SIAM Journal on Applied Dynamical Systems; SIAM Journal on Applied Mathematics portland dive bars with poolWeb10 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 … opticheck.chWeb16 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. opticharge 24v battery chargerWeb13 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 … opticheck ipf