Algorithms for a maximum clique and a maximum independent set of a circle graph

作者: F. Gavril

DOI: 10.1002/NET.3230030305

关键词: Independent setLine graphDiscrete mathematicsBlock graphFactor-critical graphSimplex graphMathematicsCombinatoricsSplit graphCircle graphClique graphAlgorithm

摘要: Consider a family of chords in circle. A circle graph is obtained by representing each chord vertex, two vertices being connected an edge when the corresponding intersect. In this paper, we describe efficient algorithms for finding maximum clique and independent set graphs. These require at most n3 steps, where n number graph.

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