On the irregularity of uniform hypergraphs

Author: iklp

August undefined, 2024

WebThe 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 ... Web6 de fev. de 2024 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv …

[1106.4856] Spectra of Uniform Hypergraphs - arXiv.org

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 … 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 … the pot drop

Spanning trees in random regular uniform hypergraphs

WebAll but one of the eight non-isomorphic3-uniform 2-regular hypergraphs of order v ≤ 9 factorize Kv(3).Allbutoneofthe49 non-isomorphic 3-uniform 3-regular hypergraphs of order v ≤8factorize Kv(3) or K (3) v −I,whereI is a 1-factor. At most two of the 148 non-isomorphic 3-uniform 3-regular hypergraphs of order 9 do not factorize K(3) 9 −I ... 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 … http://www.maths.lse.ac.uk/Personal/jozef/papers/rsa22141.pdf the potemkin gang

Hypergraph Saturation Irregularities

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 … 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 … the pot drum tabWebSociety for Industrial and Applied Mathematics. 3600 Market Street, 6th Floor Philadelphia, PA 19104 USA the potemkinists

"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 … " - On the irregularity of uniform hypergraphs

On the irregularity of uniform hypergraphs

$[1802.06143] On the Turán density of $\{1, 3\}$-Hypergraphs$

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 … 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 …

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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 ... 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.

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WebOn the irregularity of uniform hypergraphs @article{Liu2024OnTI, title={On the irregularity of uniform hypergraphs}, author={Lele Liu and Liying Kang and Erfang … 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 ...

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 …

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 … the potemkin mutiny bbc bitesizeWebchromatic 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 ... the potemkin gang west of loathingWebIn 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 … siemens industry cypress caWeb12 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 … the potemkin shipWebIrregularity 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 … the potemkin movieWebFor 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, ... the potemkinWebREGULARITY 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 … the potemkin mutiny