On the irregularity of uniform hypergraphs
Webproof. In Section3, we answer ProblemBpositively by giving several kinds of 3-uniform hypergraphs, which consequently shows that the answer of ProblemAis positive. In … Web6 de fev. de 2024 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv …
On the irregularity of uniform hypergraphs
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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 … 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 ...
WebSociety for Industrial and Applied Mathematics. 3600 Market Street, 6th Floor Philadelphia, PA 19104 USA 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 …
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 … 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 …
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 …
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 … can otc sleep aids cause memory lossWebOn the irregularity of uniform hypergraphs @article{Liu2024OnTI, title={On the irregularity of uniform hypergraphs}, author={Lele Liu and Liying Kang and Erfang … canot camping tremblantWebAll 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 ... can otc stock be haltedWeb9 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 … canotech mandatoryWebIrregularity 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 … flakes hsn code and gst rateWeb13 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. canotek rdWeb15 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 … canoteck inc