## Combinatorial mathematics IV: proceedings of the fourth Australian conference held at the University of Adelaide, 27-29 August 1975 |

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1-factor of K6 6-cycle adjacency adjacency matrix amicable orthogonal designs Anne Penfold automorphism group balanced incomplete block bishops circulant matrices Cn-trees colouring columns Combinatorial comma-free code consider constraints constructed core Corollary cospectral graphs crystallographic groups defined denote designs in order designs of types edges elements endpoint exist finite follows fully proper gametes Geramita given Graeco-Latin group of order Hadamard matrices Hence imbedded incidence algebra incomplete block design induced initial blocks isomorphic Jennifer Seberry Jennifer Seberry Wallis Latin squares Lemma Math maximal normal subgroup notation obtained order 16 pair partial stabilising sequence partition points polynomial Preece problem Proof Room square rows semi-stable set of letters shown in Figure solutions square of side stability index subgraph subgroup of index subsquare of side sum-free set Suppose symmetric Theorem Theory trees University of Adelaide valid sequence vertex vertices weighing matrix Weyl group