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On the irregularity of uniform hypergraphs

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, … 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.

[2210.03311] The trace of uniform hypergraphs with application to ...

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 … 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 … games unblocked 73 https://insursmith.com

On the irregularity of uniform hypergraphs - Semantic Scholar

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 … 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) 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 … blackhawk crash in ut

On $3$-uniform hypergraphs avoiding a cycle of length four

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On the irregularity of uniform hypergraphs

Equitable colorings of nonuniform hypergraphs SpringerLink

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 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 …

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 the α-spectral radius of irregular uniform hypergraphs. Hongying Lin Center for Applied Mathematics, Tianjin University, ... 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 …

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 …

Webadshelp[at]cfa.harvard.edu The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A 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 …

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 ...

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 … black hawk crash in kyWeb15 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. games unblocked 74WebThe 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 ... blackhawk crash alhttp://www.maths.lse.ac.uk/Personal/jozef/papers/rsa22141.pdf games unblocked at workWebSociety for Industrial and Applied Mathematics. 3600 Market Street, 6th Floor Philadelphia, PA 19104 USA blackhawk crash kentuckyWeb23 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 … black hawk crash kentuckyWebGraph 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 … games unblocked 75