Algebraic and Geometric Combinatorics

✍ Scribed by Eric Mendelsohn (Eds.)

• Publisher: Academic Press, Elsevier
• Year: 1982
• Tongue: English
• Leaves: 369
• Series: North-Holland Mathematics Studies 65 / Annals of Discrete Mathematics 15
• Category: Library

✦ Table of Contents

Content:
General Editor
Page ii

Edited by
Page iii

Copyright page
Page iv

Dedication
Page v

Nathan Saul Mendelsohn
Pages vi-viii
Curt Lindner

Nathan Mendelsohn as I have Known him
Pages ix-x
G. de B. Robinson

Editor's Preface
Page xi
Eric Mendelsohn

On Hamiltonian Cycles in Metacirculant Graphs Original Research Article
Pages 1-7
Brian Alspach, T.D. Parsons

Embedding Latin Squares with Prescribed Diagonal Original Research Article
Pages 9-26
Lars Døvling Andersen

A Direct Construction for Latin Squares Without Proper Subsquares Original Research Article
Pages 27-53
Lars Døvling Andersen, Eric Mendelsohn

High Chromatic Rigid Graphs II Original Research Article
Pages 55-61
László Babai, Jaroslav Nešetřil

Direct Constructions for Perfect 3-Cyclic Designs Original Research Article
Pages 63-68
F.E. Bennett

Distance-Regular Graphs with Diameter Three Original Research Article
Pages 69-80
N.L. Biggs

Colour Schemes Original Research Article
Pages 81-95
Peter J. Cameron

The Analysis of Directed Triple Systems by Refinement Original Research Article
Pages 97-103
Marlene J. Colbourn, Charles J. Colbourn

On the Product of All Elements in a Finite Group Original Research Article
Pages 105-109
József Dénes, Péter Hermann

Enumeration of Symmetric Designs (25,9,3) Original Research Article
Pages 111-127
R.H.F. Denniston

On Pairwise Balanced Block Designs with the Sizes of Blocks as Undtorm as Possible Original Research Article
Pages 129-134
P. Erdös, J. Larson

Finite Representations of Two-Variable Identities or Why are Finite Fields Important in Combinatorics? Original Research Article
Pages 135-141
Trevor Evans

Some Connections between Steiner Systems and Self-Conjugate Sets of M.O.L.S. Original Research Article
Pages 143-159
T. Evans, M. Francel

Incidence-Geometric Aspects of Finite Abelian Groups Original Research Article
Pages 161-170
Ulrich Faigle

Two Remarks on the Mendelsohn-Dulmage Theorem Original Research Article
Pages 171-177
David Gale, A.J. Hoffman

Düroids Original Research Article
Pages 179-187
B. Ganter, R. Quackenbush

Lattice Polyhedra II: Generalization, Constructions and Examples Original Research Article
Pages 189-203
H. Gröflin, A.J. Hoffman

A Partial Geometry pg(9, 8, 4) Original Research Article
Pages 205-212
W. Haemers, J.H. Van Lint

Homomorphism Interpolation and Approximation Original Research Article
Pages 213-227
Z. Hedrlín, P. Hell, C.S. Ko

Prolongation in m-Dimensional Permutation Cubes Original Research Article
Pages 229-238
Katherine Heinrich

Match-Tables Original Research Article
Pages 239-251
A.J.W. Hilton, C.A. Rodger

On the Sequenceability of Dihedral Groups Original Research Article
Pages 253-258
G.B. Hoghton, A.D. Keedwell

A Combinatorial Construction of the Small Mathieu Designs and Groups Original Research Article
Pages 259-264
D.R. Hughes

Embeddings and Prescribed Intersections of Transitive Triple Systems Original Research Article
Pages 265-272
C.C. Lindner, W.D. Wallis

On Linked Arrays of Pairs Original Research Article
Pages 273-292
Rudolf Mathon

Simple Steiner Quadruple Systems Original Research Article
Pages 293-304
E. Mendelsohn, K.T. Phelps

Rectagraphs, Diagrams, and Suzuki's Sporadic Simple Group Original Research Article
Pages 305-318
A. Neumaier

Logic of Equality in Geometry Original Research Article
Pages 319-331
R. Padmanabhan

On Axial Automorphisms of Symmetric Designs Original Research Article
Pages 333-340
Fred Piper

Pictures in Lattice Theory Original Research Article
Pages 341-355
Ivan Rival, Bill Sands

On Mutually Orthogonal Resolutions and Near-Resolutions Original Research Article
Pages 357-369
S.A. Vanstone

Appendix. Research Papers by N.S. Mendelsow
Pages 371-376