Efficient algorithms for maximum induced matching problem in permutation and trapezoid graphs
Viet Dung Nguyen,
Ba Thai Pham,
Phan Thuan Do
Abstract:We first design an O(n 2 ) solution for finding a maximum induced matching in permutation graphs given their permutation models, based on a dynamic programming algorithm with the aid of the sweep line technique. With the support of the disjoint-set data structure, we improve the complexity to O(m+n). Consequently, we extend this result to give an O(m+n) algorithm for the same problem in trapezoid graphs. By combining our algorithms with the current best graph identification algorithms, we can solve the MIM pro… Show more
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