On the irregularity of uniform hypergraphs
http://www.maths.lse.ac.uk/Personal/jozef/papers/rsa22141.pdf Webm-uniform hypergraphs for larger values of m, and also the rate of convergence improves for increasing m. Our result provides the first theoretical evidence that establishes the importance of m-way affinities. 1 Introduction The central theme in approaches like kernel machines [1] and spectral clustering [2, 3] is the use
On the irregularity of uniform hypergraphs
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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 … WebGraph 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 …
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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 … 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 ...
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 …
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, … fmd helps upciWebSociety for Industrial and Applied Mathematics. 3600 Market Street, 6th Floor Philadelphia, PA 19104 USA fmdh foundation diamond ringWeb1 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 … greensborough crazy kebabsWeb10 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 … fmd heart diseaseWebAbstract. 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 ... fmdh facebookWeb26 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. greensborough crescentWebREGULARITY 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 … greensborough compass