Spectra of uniform hypergraphs
β Scribed by Joshua Cooper; Aaron Dutle
- Book ID
- 113772188
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 410 KB
- Volume
- 436
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
ErdGs, P., Z. Fiiredi and Z. Tuza, Saturated r-uniform hypergraphs, Discrete Mathematics 98 (1991) 95-104. The following dual version of Turin's problem is considered: for a given r-uniform hypergraph F, determine the minimum number of edges in an r-uniform hypergraph H on n vertices, such that F
Given two integers ~r > 0 and fl >I 0, we prove that there exists a finite k-uniform hypergraph (resp. a finite connected k-uniform hypergraph) whose automorphism group has exactly ~r point orbits and fl block orbits if and only if :r ~< kfl + 1 (resp. :r ~< (k -1)fl + 1).
A subset of the vertices in a hypergraph is a cover if it intersects every edge. Let {(H) denote the cardinality of a minimum cover in the hypergraph H, and let us denote by g(n) the maximum of {(H) taken over all hypergraphs H with n vertices and with no two hyperedges of the same size. We show tha