Combinatorial Mathematics, Optimal Designs and Their Applications

Content: 
Managing Editor
Page ii

Edited by
Page iii

Copyright page
Page iv

Preface
Pages v-vi
Jaya Srivastava

Results and Problems in Galois Geometry Original Research Article
Pages 1-5
Adriano Barlotti

Combinatorial Problems of Experimental Design II: Factorial Designs Original Research Article
Pages 7-18
R.C. Bose

Partial λ-Geometries of Small Nexus Original Research Article
Pages 19-29
Peter J. Cameron, David A. Drake

A Characterization of Group-Divisible Designs and Some Related Results Original Research Article
Pages 31-39
Ching-Shui Cheng, Len J. Gray

On Permutation Cliques Original Research Article
Pages 41-55
M. Deza

Some Properties of Perfect Matroid Designs Original Research Article
Pages 57-76
M. Deza, N.M. Singhi

A Combinatorial Interpretation of the Seidel Generation of Genocchi Numbers Original Research Article
Pages 77-87
Duminique Dumont, Gérard Viennot

A Survey of Problems in Combinatorial Number Theory Original Research Article
Pages 89-115
Paul Erdös

Residually-Complete Graphs Original Research Article
Pages 117-123
Paul Erdös, Frank Harary, Maria Klawe

A Combinatorial Proof of Jacobi\'s Identity Original Research Article
Pages 125-135
Dominique Foata

From Nim to Go Original Research Article
Pages 137-156
Aviezri S. Fraenkel

Configurations in a Plane of Order Ten Original Research Article
Pages 157-174
Marshall Hall Jr.

Construction of Optimal Codes and Optimal Fractional Factorial Designs Using Linear Programming Original Research Article
Pages 175-188
Noboru Hamada, Fumikazu Tamari

Combinatorial Topology and the Trade Off Method in Bib Designs Original Research Article
Pages 189-200
A. Hedayat, Shuo-Yen Robert Li

Block Designs with Cyclic Block Structure Original Research Article
Pages 201-214
Franz Hering

On Restricted Bases for Finite Fields Original Research Article
Pages 215-217
S.A. Joni, G.-C. Rota

Partitioning of the Minimum Essential Set Construction Problem Original Research Article
Pages 219-224
Aram K. Kevorkian

Optimal Design Theory in Relation to Combinatorial Design Original Research Article
Pages 225-241
J. Kiefer

The Asymptotic Number of Lattices Original Research Article
Pages 243-249
D.J. Kleitman, K.J. Winston

A New Statistics on Words Original Research Article
Pages 251-255
A. Lascoux, M.P. Schützenberger

Some Results on the Existence of Squares Original Research Article
Pages 257-274
R.C. Mullin, P.J. Schellenberg, D.R. Stinson, S.A. Vanstone

Intersection Graphs of k-Uniform Hypergraphs Original Research Article
Pages 275-279
R. Naik, S.S. Shrikhande, S.B. Rao, N.M. Singhi

On Some Enumeration Problems in Graph Theory Original Research Article
Pages 281-288
Pushpa N. Rathie

Some Remarks on Amicable Orthogonal Designs Original Research Article
Pages 289-291
Jennifer Seberry

On the Number of Nonisomorphic Designs in a Repeated Measurement Experiment Original Research Article
Pages 293-300
Esther Seiden

Intersection Theorems on Structures Original Research Article
Pages 301-313
Miklós Simonovits, Vera T. Sós

Enumeration and Representation of Nonisomorphic Bipartite Graphs Original Research Article
Pages 315-332
J.N. Srivastava, S. Ghosh

Decompositions of Rational Convex Polytopes Original Research Article
Pages 333-342
Richard P. Stanley

Rotors in Graph Theory Original Research Article
Pages 343-347
W.T. Tutte

Embedding Graphs in the Plane—Algorithmic Aspects Original Research Article
Pages 349-384
S.G. Williamson

Hyperclaw Decomposition of Complete Hypergraphs Original Research Article
Pages 385-391
Sumiyasu Yamamoto, Shinsei Tazawa