منابع مشابه
Packing k-partite k-uniform hypergraphs
Let G and H be k-graphs (k-uniform hypergraphs); then a perfect H-packing in G is a collection of vertex-disjoint copies of H in G which together cover every vertex ofG. For any fixed k-graphH let δ(H,n) be the minimum δ such that any k-graphG on n vertices with minimum codegree δ(G) ≥ δ contains a perfect H-packing. The problem of determining δ(H,n) has been widely studied for graphs (i.e. 2-g...
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Recently, numerous applications have emerged that create data most naturally interpreted as k-partite k-uniform hypergraphs. We identify benefits and challenges of generalizing community detection algorithms to these structures. We propose an algorithm which handles some of these challenges and a hypergraph generalization of the “caveman” model for the generation of synthetic evaluation dataset...
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Let m ≥ 2 and k ≥ 2 be integers. We show that K k×m has a decomposition into Hamilton cycles of Kierstead-Katona type if k | m. We also show that K (3) 3×m − T has a decomposition into Hamilton cycles where T is a 1-factor if and only if 3 m and m = 4. We introduce a notion of symmetry and comment on the existence of symmetric Hamilton cycle decompositions of K (k) k×m.
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The p-spectral radius of a uniform hypergraph G of order n is de ned for every real number p 1 as (p) (G) = max jx1j + + jxnj = 1 r! X fi1;:::;irg2E(G) xi1 xir : It generalizes several hypergraph parameters, including the Lagrangian, the spectral radius, and the number of edges. The paper presents solutions to several extremal problems about the p-spectral radius of k-partite and k-chromatic hy...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 2016
ISSN: 0097-3165
DOI: 10.1016/j.jcta.2015.09.007