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The history of graph (network) theory (GNT) started with an attempt to find a single walking path, which crosses, once and only once, each of the seven bridges of old Königsberg - known as the Seven Bridges...
The pipeline routes that bring North Sea gas ashore depend on both mathematical and technological considerations. This programme looks at the geological formation of gas under the North Sea; the allocation...
A century ago it was ‘proved’ that only four colours were needed to colour a map. Kempe’s proof of the four-colour theorem and the counter-example by Heawood are presented in a dramatised...
A case study of mathematical methods that could be used by flower growers and sellers to facilitate the transport of cut flowers. Looks at three problems: the knapsack problem, where a particular mode of...
Discusses the ‘four colour map’ problem, outlining its development and examining some of its complexity. Uses animation to look at the contributions of Alfred Kempe and Heawood and ends with Professor...
Looks at an application of graph theory in project control in an industrial context. Examins the problems of organising components for the production of a lorry, then looks at the mathematical techniques for...
Looks at the use of graph theory in the design of agricultural experiments. Develops an experimental design for glasshouse crops in terms of latin squares, enabling their progress to be compared. For more...
Deals with the problem of predicting flows in networks using mathematical modelling techniques and algorithms. Uses a real-life flow problem, the traffic congestion in Godalmin High Street. Although the...
Examines the UK National Grid, looking at its structure in terms of power generation, transmision lines and sinks of power, and at the problems of coping with fluctuating power demands. Eric Chefneux,...
Looks at the problem of job allocation in a factory using the mathematical technique of rook polynomials; compares the way rooks move on a chessboard and jobs problem. Various theorems are developed and...
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