Very often, strongly regular graphs appear associated with partial geometries. The point graph of a partial geometry is the graph whose vertices are the points of the geometry and adjacency is defined by collinearity. It is well known that the point graph associated to a partial geometry is a strongly regular graph and, in this case, the strongly regular graph is named geometric. When the param...

We prove a generalization of a theorem of Ganter concerning the embedding of partial Steiner systems into Steiner systems. As an application we discuss a further version of the problem of Rosenfeld on embedding graphs into strongly regular graphs.

We show that ω-categorical rings with NIP are nilpotent-by-finite. We prove that an ω-categorical group with NIP and fsg is nilpotent-by-finite. We also notice that an ω-categorical group with at least one strongly regular type is abelian. Moreover, we get that each ω-categorical, characteristically simple p-group with NIP has an infinite, definable abelian subgroup. Assuming additionally the e...

Color segmentation is crucial in robotic applications, such as RoboCup, where the relevant objects can be distinguished by their color. In these applications, real-time performance and robustness are primary concerns. We present a hybrid method for color segmentation based on seeded region growing (SRG) in which the initial seeds are provided by a conservative threshold color segmentation. The ...

Let Y = (G, @, I ) be a linearly ordered, commutative group and u@u = max(u, t’) for all u, IJEG. Extend 0, @ in the usual way on matrices over G. An m x n matrix A is said to have strongly linearly independent (SLI) columns, if for some b the system of equations A@x = b has a unique solution. If, moreover, m = n then A is said to be strongly regular (SR). This paper is a survey of results conc...

The Hankel matrix has various applications. In this paper we prove that Hankel matrix is strongly regular and apply to obtain the necessary and sufficient conditions to sum the Walsh–Fourier series of a function of bounded variation. 2013 Elsevier Inc. All rights reserved.