Combinatorial Mathematics X Proceedings of the Conference held in Ad
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Combinatorial Mathematics X Proceedings of the Conference held in Adelaide, Australia, August 23-27, 1982
Edited by L. R. A. Casse
Springer-Verlag Berlin Heidelberg New York Tokyo 1983
Editor
Louis Reynolds Antoine Casse The University of Adelaide G.P.c., Box 498, Adelaide, South Australia 5001, Australia
AMS Subject Classifications (1980): 05A05, 05A15, 05B05, 05BlO, 05B15, 05B20, 05B25, 05B30, 05B35, 05B40, 05B45, 05B50, 05C05, 05C25, 05C30, 05C60, 05C65, 05C75, 12C20, 15A23, 15A33, 20B 22,20B25, 51E05,51E15, 51E25, 62K10, 68E10, 90B35, 94B05,94B70 ISBN 3-540-12708-9 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-12708-9 Springer-Verlag New York Heidelberg Berlin Tokyo This work is subject to copyright. All rights are reserved. whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to "Verwertungsgesellschaft Wort", Munich.
© by Springer-Verlag Berlin Heidelberg 1983 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2146/3140-543210
PREFACE The Tenth Australian Conference on Combinatorial Mathematics was held at the University of Adelaide from 23rd to 27th August 1982. The Conference was fortunate enough to hear addresses given by distinguished combinatorialists: C.C. Chen (Singapore), J.W.P. Hirschfeld (U.K.), D.A. Holton (Australia), A.D. Keedwell (U.K.), C. Lindner (U.S.A.), N.J. Pullman (Canada), D. Stinson (Canada), and J.A. Thas (Belgium).
This volume contains the text of
seven of these invited addresses and of twenty-three contributed talks. M2nuscripts of the remaining contributed talks given at the conference are to be published 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 thank all those who chaired sessions and refereed papers.
Our special thanks go to the rr.errbers of the "Ceometry Seminar" and of the departments of Matherr.atics at the University of Adelaide. We particularly acknowledge the generous support of the following Australian Mathematical Society A.N.Z. Bank Trans Australia Airlines. The University of Adelaide, the Student Union, and the University of Adelaide Club allowed us the use of their facilities.
Much
financial assistance was provided by the Departments of Applied Mathematics, Computer Science, Pure Mathematics, and Statistics. Finally we thank Ms. Henderson, Mxs. Renshaw and Mrs. Halsey for their kindness and typing. L.R.A. Casse
PARTI C1 PII.NTS Mr. R. Aldred
Department of Mathematics, University of Melbourne, Parkville, Vic., 3052.
Dr. J. Arkinstall
Mathematics and Computing Departrrent, South Australian Institute of Technology, Whyalla, S.A.,5600.
Prof. G. Berzsenyi
Department of Mathematics, Lamar University, Beaumont, Texas, U.S.A.
Mr.
