## 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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3-connected 4-cycle a-blocks aaaa adjacent affine plane algorithm Anne Penfold Australia automorphism group Baer planes bijection binary blocks Catalan families co-design Combinatorial complete graph components Computer configuration construction contains countable cubic bipartite graph define denote Department of Mathematics disjoint distance-transitive graph edges elements equivalent example exists Figure finite fixed folders G xP2 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 obtained orbits ovals pairs partitions permutation group planar planar graph points projective plane Proof Queensland realisation reconstructible result s-uniform semistable sequence star diagram structure subgraph of G subgroup subsets Suppose symmetric graph Table Theorem transitive triple unique vectors vertex