Abstract
We give O(m+ n) algorithms for enumerating all minimum separators as well as minimal separators in a connected chordal graph. We give a tight upper bound, n - κ(G) - 1, for the number of minimal separators in a chordal graph. An important contribution of the paper is our characterisation of minimal (minimum) separators of chordal graphs and the above results are obtained as consequences of the characterisations.KeywordsChordal GraphLinear Time AlgorithmInterior NodeMinimal SeparatorInterior VertexThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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