## Combinatorial Mathematics VIII: Proceedings of the Eighth Australian Conference on Combinatorial Mathematics Held at Deakin University, Geelong, Australia, August 25-29, 1980 |

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abelian group adjacent algebra assume bipartite block structure bound Cayley graph circuit coloured column Combinatorial Computer connected graphs consider construction Corollary corresponding defined degree sequence denote Department of Mathematics Desarguesian planes digraphs edge edge-induced subgraph equiangular lines example exists a hamiltonian Figure finite G is non-planar graph G Graph Theory Hamiltonian cycles hamiltonian path hamlltonlan cycle Hence I-M preference induced subgraph induction infinite integer intercalates isomorphic joining labelled Latin squares lattice Lemma lines Math matrix matroid mefa mult multigraphic multiplicity obtain one-factorisation orderly algorithm pair partition plane of order points prime power problem projective plane Proof prove quadruple systems realization regular graphs result RM(d RS(d sequence of switchings simple graphs solution stable permutations strongly hamiltonian strongly regular graphs subpath subset subspaces subsystem of order Suppose Theorem translation planes traversal cost trees vectors vertex-transitive graphs vertices