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Open Access research with a European policy impact...

The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by Strathclyde researchers, including by researchers from the European Policies Research Centre (EPRC).

EPRC is a leading institute in Europe for comparative research on public policy, with a particular focus on regional development policies. Spanning 30 European countries, EPRC research programmes have a strong emphasis on applied research and knowledge exchange, including the provision of policy advice to EU institutions and national and sub-national government authorities throughout Europe.

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Sets of points determining only acute angles and some related colouring problems

Bevan, David (2006) Sets of points determining only acute angles and some related colouring problems. The Electronic Journal of Combinatorics, 13 (1). ISSN 1077-8926

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We present both probabilistic and constructive lower bounds on the maximum size of a set of points S ⊆ R d such that every angle determined by three points in S is acute, considering especially the case S ⊆ {0, 1}d. These results improve upon a probabilistic lower bound of Erdős and Füredi. We also present lower bounds for some generalisations of the acute angles problem, considering especially some problems concerning colourings of sets of integers.