On the irregularity of uniform hypergraphs
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 ... Webadshelp[at]cfa.harvard.edu The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A
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 … 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 …
WebIrregularity 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 … 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 …
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 …
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. ima select llc fort collinsWebGraph 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 … imas empleateWeb13 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. list of home builders in southern californiaWebchromatic 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 ... list of home care agencies in illinoisWebHAMILTON ‘-CYCLES IN UNIFORM HYPERGRAPHS 3 A recent construction of Markstr om and Rucinski ([12]) shows that Proposition 2.1 still holds if we drop the requirement … list of home business ideasWeb23 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 … list of home businesses to startWeb21 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 … list of home builders in ohio