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Een indelingsprobleem

Jac. M. Anthonisse

Statistica Neerlandica, 1968, vol. 22, issue 2, 103-118

Abstract: Summary A branch and bound algorithm is given to solve the following problem: To each pair of elements (i,j) from a set X={l,…, n} a number rij with rij≥ 0, rij=rij and rij= 0 has been assigned. Find a prescribed number of disjoint subsets P1…,Pm from X, such that Experiments indicate that an optimal solution is usually found in a small number of iterations, but the verification may be rather time consuming. The algorithm may be used to find the minimum value of m for which a partitioning of X with z= 0 exists. The algorithm appears to be efficient for finding this ‘chromatic number of a graph’.

Date: 1968
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https://doi.org/10.1111/j.1467-9574.1968.tb01360.x

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