## Combinatorial mathematics III: proceedings of the third Australian conference held at the University of Queensland, 16-18 May, 1974 |

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6-star decomposable Abelian group Anne Penfold average path length Baumert-Hall arrays cacti chromial circuits cocycle column complete graph component configuration consider construction contains a transposition Corollary D. A. Holton decomposition defining functions denote Department of Mathematics derivation tree designs difference elations elements exist F G H finite fixed follows G2 is stable graph G Hadamard matrices Hall planes Hall system Hence incidence matrix index-0 graph induction initial blocks isomorphic Jennifer Seberry labelled left-right path Lemma Math maximal set modulo Moore graphs non-terminal non-zero notation obtain one-factors orbits orthogonal partial stabilising sequence pendant permutation graph players Proof q-star qk+j result right hand side Roman numeral rule satisfied shortest terminal string shown in Figure stability index subgroups subset subtrees sum-free sets Suppose symbol T-matrices tournaments type of Theorems University of Queensland valency values vertex W. T. Tutte Wallis zero