A Cayley graph over a group G is said to be central if its connection set normal subset of G. We prove that every simple has at most two pairwise nonequivalent representations associated with the subgroups $${{\,\mathrm{Sym}\,}}(G)$$ induced by left and right multiplications also provide an algorithm which, given $$\Gamma $$ almost whose socle bounded index, finds full in time polynomial size

In this paper we will study artinian quotients A = R/I of the polynomial ring R = k[x1, ..., xr], where k is a field of characteristic zero, the xi’s all have degree 1 and I is a homogeneous ideal of R. These rings are often referred to as standard graded artinian algebras. Before explaining the main results of this work, we establish some of the notation we will use: the h-vector of A is h(A) ...

This note is part of a general programme to classify the automorphism groups of finite linear spaces. There have been a number of contributions to this programme, including two recent surveys [8, 3]. One of the most significant contributions was the classification of flag-transitive linear spaces [2]. Since then, the effort has been to classify the line-transitive examples. These fall naturally...