On the irregularity of uniform hypergraphs
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 … 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 …
On the irregularity of uniform hypergraphs
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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. 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 …
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. 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)
Web13 de out. de 1995 · It is then easy to see that a copy of the original hypergraph H can be embedded in these kn vertices without disrupting the irregularity, or the number of partite classes of the host hypergraph. Note that Theorem 4 gives a chromatic number preserving embedding of uniform hypergraphs into irregular ones. 2. 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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ipad pro 2018 benchmarkWebAll 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 ... openpicsWebproof. In Section3, we answer ProblemBpositively by giving several kinds of 3-uniform hypergraphs, which consequently shows that the answer of ProblemAis positive. In … ipad pro 2018 screen protectorWeb10 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 … ipad pro 2018 not chargingWebIn 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 … open picnic basket imageWebOn the irregularity of uniform hypergraphs @article{Liu2024OnTI, title={On the irregularity of uniform hypergraphs}, author={Lele Liu and Liying Kang and Erfang … ipad pro 2018 shopdunkWeb1 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 … ipad pro 2018 battery life