Exact colouring algorithm for weighted graphs applied to timetabling problems with lectures of different lengths

Exact colouring algorithm for weighted graphs applied to timetabling problems with lectures of different lengths

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Article ID: iaor1993548
Country: Netherlands
Volume: 51
Issue: 2
Start Page Number: 248
End Page Number: 258
Publication Date: Mar 1991
Journal: European Journal of Operational Research
Authors: ,
Keywords: graphs, programming: branch and bound
Abstract:

An exact algorithm is presented for determining the interval chromatic number of a weighted graph. The algorithm is based on enumeration and the Branch-and-Bound principle. Computational experiments with the application of the algorithm to random weighted graphs are given. The algorithm and its modifications are used for solving timetabling problems with lectures of different lengths.

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