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Elizabeth J. Billington, Sheila Oates-Williams, Anne Penfold Street -

The Ninth Australian Conference on Combinatorial Mathematics was conducted by the Combinatorial Mathematics Society of Australasia, at the University of Queensland, St. Lucia, from 23rd to 28th August, 1981 visitors were accommodated in Union College. The names of the fifty-five participants are given in the following list.

The conference was fortunate in hearing addresses from the following nine invited speakers:

Dr. D.R. Breach, Mathematics, University of Canterbury;

Dr. P.J. Cameron, Merton College, Oxford;

Dr. A. Gardiner, Mathematics, University of Birmingham;

Prof. W.L. Kocay, Computer Science, University of Manitoba;

Prof. R. Mathon, Computer Science, University of Toronto;

Prof. U.S.R. Murty, Combinatorics and Optimization, University of Waterloo;

Prof. V. Pless, Mathematics, University of Illinois at Chicago Circle;

Dr. C.E. Praeger, Mathematics, University of Western Australia;

Prof. R.G. Stanton, Computer Science, University of Manitoba.

This volume contains the texts of seven of their invited addresses and of twenty contributed talks. Manuscripts of the remaining talks given at the conference are to appear elsewhere.

Many people helped with the organisation of the conference and with the publication of this volume and we are grateful to all of them. We particularly acknowledge the generous support of the following:

Australian Mathematical Society;

Broken Hill Proprietary Co. Ltd.;

Commonwealth Scientific and Industrial Research Organisation, Division of Mathematics and Statistics;

Digital Equipment Australia Pty. Ltd.;

Rank Xerox (Australia) Pty. Ltd.;

Trans-Australia Airlines;

U.S.A. Canada Travel Pty. Ltd. (formerly

Trafalgar Travel).

The University of Queensland, Union College, and the University of Queensland Club allowed us the use of their facilities. The University of Queensland also provided much financial assistance, both through its Departments of Computer Science and of Mathematics, and through its General Development Fund. We also thank those who chaired sessions and refereed papers, the publishers who provided books for display, Janis Leach and Joan Rowley for their typing, Reg Stonard for many of the diagrams, and Springer-Verlag for their assistance with publication.

Elizabeth J. Billington

Sheila Oates-Williams

Anne Penfold Street.

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