Ars Combinatoria, Volumes 24-25Department of Combinatorics and Optimization, University of Waterloo., 1987 - Combinatorial analysis |
Contents
Embedding Partial Steiner Pentagon Systems by Philip W Robinson | 5 |
Terraces for Groups by C K Nilrat and C E Praeger | 17 |
On Large Sets of Disjoint Ordered Designs by Luc Teirlinck | 31 |
Copyright | |
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4-tuple invariant type 9 A B C D E F STS adjacent association scheme automorphism group b₁ b₂ block design C₁ cells chordal graphs colours columns Combinatorial complete graph conjecture consider construction contains Corollary defined degree deleting denote DERIVED STS digraph Discrete Math disjoint distinct edge-reconstruction elements exists finite frame of type geodetic block graph G Graph Theory GROUP ORDER hamiltonian Hence hypergraphs incident integer isomorphic k₁ Kirkman triple systems labelled Latin squares Lemma Let G linear Mathematics matrix modulo nonhamiltonian graph obtained Order of automorphism orthogonal designs P₁ pair parallel class partition path permutation planar graphs plane of order points positive integer problem projective plane Proof Proposition prove quadrilateral R₁ reconstruction result skew frame Steiner systems Steiner triple systems sub-block subgraph of G subplane subsets Suppose symmetric T₁ Theorem transversals trees triangle v₁ vertex vertices