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 … 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 …

On the α -spectral radius of irregular 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 ... 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) incharge snabbladdning https://segatex-lda.com

Turán Problems on Non-uniform Hypergraphs - University of …

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 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 … 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. incharge sign

HAMILTON -CYCLES IN UNIFORM HYPERGRAPHS - University of …

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On the irregularity of uniform hypergraphs

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

WebSociety for Industrial and Applied Mathematics. 3600 Market Street, 6th Floor Philadelphia, PA 19104 USA 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 ...

On the irregularity of uniform hypergraphs

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Web17 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 … 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 …

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 … 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

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 … 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 …

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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 … incharge solutionsWebAbstract. 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 ... inappropiate wedding giftWeb1 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 … inappropiate wild prom dressesWeb26 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. inappropiate words that end is sWebGraph 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 … incharge storeWeb21 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 … inappropreate meow wolf fridge memeWebAbstract. 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 … incharge tagalog