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The strong chromatic number of partial triple...
Journal article

The strong chromatic number of partial triple systems

Abstract

A strong colouring of a hypergraph is an assignment of colours to its vertices so that no two vertices in a hyperedge have the same colour. We establish that strong colouring of partial triple systems is NP-complete, even when the number of colours is any fixed k≥3. In contrast, an efficient algorithm is given for strong colouring of maximal partial triple systems. Observations in this algorithm underpin a complete determination of the spectrum …

Authors

Colbourn CJ; Jungnickel D; Rosa A

Journal

Discrete Applied Mathematics, Vol. 20, No. 1, pp. 31–38

Publisher

Elsevier

Publication Date

5 1988

DOI

10.1016/0166-218x(88)90039-x

ISSN

0166-218X