## Combinatorial Mathematics IX: Proceedings of the Ninth Australian Conference on Combinatorial Mathematics Held at the University of Queensland, Brisbane, Australia, August 24-28, 1981E. J. Billington, S. Oates-Williams, A. P. Street |

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4-cycle a-blocks aaaa a aa adjacent affine plane algebra algorithm Anne Penfold automorphism group Baer planes BB BB BBBB bijection binary blocks co-design colour scheme Combinatorial complete graph components Computer configuration construction contains countable cubic bipartite graph define degree denote Department of Mathematics disjoint distance-transitive graph edges elements equivalent example exists Figure finite fixed folders G x P2 girth given graph G group G hamiltonian cycle Hence hypergraph induced subgraph infinite integer intersect inversive planes isolated vertices isomorphism Lemma length Let G line graph Math matrix matroid mode number Moore graph multiset orbits ovals pairs partitions permutation group planar planar graph points projective plane Proof Queensland realisation result s-uniform semistable sequence structure subgraph of G subgroup subsets Suppose symmetric symmetric graph Theorem transitive triple unique vertex