2 citations · 7 across the 6 of their papers we have counts for
5 papers · 1 filter
The existence of k-radius sequences
Simon R Blackburn
Let and be positive integers, and let be an alphabet of size . A sequence over of length is a \emph{-radius sequence} if any two distinct elements of …
Honeycomb arrays
Simon R. Blackburn, Anastasia Panoui, Maura B. Paterson +1
A honeycomb array is an analogue of a Costas array in the hexagonal grid; they were first studied by Golomb and Taylor in 1984. A recent result of Blackburn, Etzion, Martin and Pat…
Distinct Difference Configurations: Multihop Paths and Key Predistribution in Sensor Networks
Simon R. Blackburn, Tuvi Etzion, Keith M. Martin +1
A distinct difference configuration is a set of points in with the property that the vectors (\emph{difference vectors}) connecting any two of the points are all dis…
Two-Dimensional Patterns with Distinct Differences -- Constructions, Bounds, and Maximal Anticodes
Simon R. Blackburn, Tuvi Etzion, Keith M. Martin +1
A two-dimensional grid with dots is called a \emph{configuration with distinct differences} if any two lines which connect two dots are distinct either in their length or in their…
Connectivity of the Uniform Random Intersection Graph
Simon R. Blackburn, Stefanie Gerke
A \emph{uniform random intersection graph} is a random graph constructed as follows. Label each of nodes by a randomly chosen set of distinct colours taken from…