Titlebook: Higher Combinatorics; Proceedings of the N Martin Aigner Conference proceedings 1977 D. Reidel Publishing Company, Dordrecht 1977 Combinato

evanescent

anaphylaxis

Acyclic Orientationsre no directed cycles. If L(G) denotes the bond lattice of G, μ the M?bius function of L, and N(π) the number of components of π ? L (G). then a well-known formula (see e.g. [3]) states that the chromatic polynomial Pq(λ) of G can be expressed in the form

Entreaty

疏忽

malapropism

角斗士

Matroids as the Study of Geometrical Configurationse of matroids is that they extract from a situation the basic incidence properties of points, lines and planes which we associate with geometry. That they show up in so many places and disguises suggests them as worthwhile objects of study. How that study is carried out is affected to some extent by

啞劇

HALL

Conference proceedings 1977since been left behind and whose great signifi- cance for other branches of both pure and applied mathematics is only beginning to be realized. The last ten years have witnessed a tremendous outburst of activity both in relatively new fields such as Coding Theory and the Theory of Matroids as well a

Neolithic

Cohen-Macaulay Complexesthe combinatorial and topological properties of Δ. We will discuss this association in the special case when A. is a Cohen-Macaulay ring. Lack of space prevents us from giving most of the proofs and from commenting on a number of interesting sidelights. However, a greatly expanded version of this paper is being planned.

GIBE

Aspects of Finite Lattices, and, of course, certain sections in BIRKHOFF [7] and CRAWLEY & DILWORTH [10]. The following report can be understood in this light; it describes topics in the theory of finite lattices from an algebraic point of view concerning research work done mainly by members of the Technische Hochschule Darmstadt.