Mendelsohn E. (ed.) Algebraic and Geometric Combinatorics

North-Holland, 1982. — 393 pages. ISBN: 0444863656When I first decided to undertake this project, the problem of exactly which subjects would be considered arose. I sidestepped this question with the non-answer "the kind of mathematics that my father does and enjoys". What a broad range that encompassed within combinatorics—latin squares, designs, groups of graphs, matchings, lattices, geometries, etc. — all linked together by the interests of one man. What links these papers in combinatorics together is more than that. They reflect his approaches to combinatorics and in their totality yield a way of looking at combinatorics. It is at the interface between geometry (especially finite geometries) and universal algebra where this approach lies.On hamiltonian cycles in metacirculant graphs.
Embedding latin squares with prescribed diagonal.
A direct construction for latin squares without proper subsquares.
High chromatic rigid graphs II.
Direct constructions for perfect 3-cyclic designs.
Distance-regular graphs with diameter three.
Colour schemes.
The analysis of directed triple systems by refinement.
On the product of all elements in a finite group.
Enumeration of symmetric designs (25, 9, 3).
On pairwise balanced block designs with the sizes of blocks as uniform as possible.
Finite representations of two-variable identities or why are finite fields important in combinatorics?
Some connections between Steiner systems and self-conjugate sets of m.o.l.s.
Incidence-geometric aspects of finite abelian groups.
Two remarks on the Mendelsohn-Dulmage theorem.
Diiroids.
Lattice polyhedra II: Generalization, construction and examples.
A partial geometry pg(9, 8, 4).
Homomorphism interpolation and approximation.
Prolongation in m -dimensional permutation cubes.
Match-tables.
On the sequenceability of dihedral groups.
A combinatorial construction of the small Mathieu designs and groups.
Embeddings and prescribed intersections of transitive triple systems.
On linked arrays of pairs.
Simple Steiner quadruple systems.
Rectagraphs, diagrams, and Suzuki's sporadic simple group.
Logic of equality in geometry.
On axial automorphisms of symmetric designs.
Pictures in lattice theory.
On mutually orthogonal resolutions and near-resolutions.