By Christos Kaklamanis, Kirk Pruhs
This e-book constitutes the completely refereed workshop complaints of the eleventh foreign Workshop on Approximation and on-line Algorithms, WAOA 2013, held in Sophia Antipolis, France, in September 2013 as a part of the ALGO 2013 convention occasion. The 14 revised complete papers offered have been rigorously reviewed and chosen from 33 submissions. They specialize in the layout and research of algorithms for on-line and computationally challenging difficulties, for instance in algorithmic online game idea, algorithmic buying and selling, coloring and partitioning, aggressive research, computational ads, computational finance, cuts and connectivity, geometric difficulties, graph algorithms, inapproximability effects, mechanism layout, common algorithms, community layout, packing and overlaying, paradigms for the layout and research of approximation and on-line algorithms, parameterized complexity, real-world purposes, scheduling problems.
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Additional resources for Approximation and Online Algorithms: 11th International Workshop, WAOA 2013, Sophia Antipolis, France, September 5-6, 2013, Revised Selected Papers
First, notice that H admits a maximal matching of n edges, that consists of taking, for each vertex of V , one edge linking this vertex to one of its neighbors in S. , sol(H) n. Notice also that, for any vertex v of V that does not belong to SOL(H), then SOL(H) must take all its neighbors in S, that is n + 1 vertices. Moreover the set V \ SOL(H) of vertices of V that do not belong to SOL(H) deﬁnes an independent set in G with n−|sol(H)∩V | vertices. In other words, one can assert that any solution SOL(H) of cardinality sol(H) in H can be easily transformed into an independent set SOL(G) in G of cardinality: sol(H) − n (1) n Conversely, the existence of a maximal independent set of size h in G induces the existence of a minimal vertex cover of size nh + n in H.
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