George Manoussakis

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2 3 −approximation matching algorithm is sub-exponential. Abstract Mann et al. [11] designed the first algorithm computing a maximal matching that is a 2 3-approximation of the maximum matching in 2 O(n) moves. However, the complexity tightness was not proved. In this paper, we exhibit a sub-exponential execution of this matching algorithm : this algorithm(More)
2 3 −approximation matching algorithm is sub-exponential. Abstract Manne et al. [11] designed the first algorithm computing a maximal matching that is a 2 3-approximation of the maximum matching in 2 O(n) moves. However, the complexity tightness was not proved. In this paper, we exhibit a sub-exponential execution of this matching algorithm : this algorithm(More)
We present the first polynomial self-stabilizing algorithm for finding a 2 3-approximation of a maximum matching in a general graph. The previous best known algorithm has been presented by Manne et al. [6] and has a sub-exponential time complexity under the distributed adversarial daemon [1]. Our new algorithm is an adaptation of the Manne et al. algorithm(More)
A graph is k-degenerate if any induced subgraph has a vertex of degree at most k. In this paper we prove new algorithms finding cliques and similar structures in these graphs. We design linear time Fixed-Parameter Tractable algorithms for induced and non induced bicliques. We prove an algorithm listing all maximal bicliques in time O(k 3 (n − k)2 k),(More)
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