Combinatorial Designs and Applications

W. D. Wallis is Professor of Mathematics at Southern Illinois University at Carbondale. The author of Combinatorial Designs (Marcel Dekker, Inc.), he is a member of the American Mathematical Society, Mathematical Association of America, Australian Mathematical Society, and Combinatorial Mathematics Society of Australia. Dr. Wallis received the B.Sc. (1963) and Ph.D. (1968) degrees in mathematics from the University of Sydney, Australia. H. Shen is an Associate Professor in the Department of Applied Mathematics at Shanghai Jiao Tbng University, Shanghai, People’s Republic of China. A member of the Standing Committee of the Combinatorics Society of China, Professor Shen received the M.Sc. degree (1982) from Shanghai Jiao Tbng University. W. Wei is a Professor in the Department of Mathematics at Sichuan University, Chengdu, People’s Republic of China. Deputy President of the Combinatorics Society of China and a member of the American Mathematical Society and Committee of Combinatorics and Graph Theory of the Chinese Mathematical Society, Professor Wei graduated (1961) from Sichuan University. L. Zhu is a Professor in the Department of Mathematics at Suzhou University, Suzhou, People’s Republic of China. A member of the Chinese Mathematical Society and the Standing Committee of the Combinatorics Society of China, Professor Zhu studied at Jiangsu Tfeachers College from 1961-1965.

Preface -- Contributors -- Minimum Matrix Representation of Closure Operations /F. E. Bennett and Lisheng Wu -- Existence of Kirkman Systems KS(2,4,v) Containing Kirkman Subsystems /T. Cai -- Studying Structures by Counting Geodesics /P. V. Ceccherini -- Existence of (v,8,1)-BIBD /Du Bieliang and Zhu Lie -- Partially Resolvable 3-(3,4,v:m) Partitions /Guo Haitao -- Symmetric Mendelsohn Triple Systems and Large Sets of Disjoint Mendelsohn Triple Systems /Kang Qing-de and Chang Yan-xun -- Simple BIB Designs and 3-Designs of Small Orders /Ku Tung-Hsin -- Characterizing Strongly Chordal Graphs by Using Minimal Relative Separators /Shaohan Ma and Julin Wu -- Constructions and Uses of Labeled Resolvable Designs /Shen Hao -- Existence of Simple Resolvable Block Designs with Block Size 4 /Shen Hao and Wu Minzhen -- A Special Class of Block Designs /Sun Shixin and Kang Tai -- One-Factorizations of Multigraphs /W. D. Wallis -- Hamilton Cycles in Cartesian Products /W. D. Wallis and Wang Zhi-Jian -- Nonexistence of Some Abelian Difference Sets /R. Wei -- Extraneous Multipliers of Abelian Difference Sets /Wan-di Wei, Shuhong Gao, and Qing Xiang -- Large Sets of KTS(V) /Wu Lisheng -- Hadamard Matrices /Ming-yuan Xia -- Finite Vector Spaces and Block Designs /Benfu Yang and Wan-di Wei -- Existence of G-Designs with IV(G)I = 6 /Yin Jianxing and Gong Busheng -- Existence of Balanced Incomplete Block Designs with k = 7 and A= 1 /Zhang Yusen -- Four Balanced Incomplete Block Designs with k = 7 and A - 1 /Zhang Yusen and Yang Zhao -- Index.