## Combinatorial Mathematics: Proceedings of the Second Australian Conference, Issue 403 |

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### Contents

A ADENA D A H0LTON and P A KELLY | 6 |

K K H BUTLER | 18 |

A H0LT0N | 53 |

Copyright | |

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### Common terms and phrases

1-factor of G adjacent Aj(C Aj(T automorphism group Bj(x block design Boolean relation matrix C0R0LLARY coherent configuration column Combinatorial Corollary cosets counting series cycle cyclotomic classes D.A. Holton deduce defined denote edges elements endvertex Enumeration Figure finite follows G is semi-stable graph G Graph Theory group of order Hadamard matrix Hall planes hamiltonian paths Hence homeomorphic incidence matrices incidence matrix index-0 inverse isomorphic Lemma Let G line of tt locally maximal sum-free loop Math matrices of order maximal F-independent subset maximal sum-free sets McAvaney obtained permutation Pfaffian planar graph plane tt points polyhedral decomposition pregeometry prime power projective plane proof properties result rooted trees skew Room square square of side stabilising sequence stable trees Steiner triple systems subgraph homeomorphic Theorem translation plane type-5 tree um-pi unicyclic graphs unique University of Melbourne vertex vertex set X.X X.X X.X XiiXiiiii