Power optimization for connectivity problems

Mohammad T. Hajiaghayi, Guy Kortsarz, Vahab S. Mirrokni, Zeev Nutov

نتاج البحث: نشر في مجلةمقالةمراجعة النظراء


Given a graph with costs on the edges, the power of a node is the maximum cost of an edge leaving it, and the power of the graph is the sum of the powers of the nodes of this graph. Motivated by applications in wireless multi-hop networks, we consider four fundamental problems under the power minimization criteria: the Min-Power b-Edge-Cover problem (MPb-EC) where the goal is to find a min-power subgraph so that the degree of every node v is at least some given integer b(v), the Min-Power k-node Connected Spanning Subgraph problem (MPk-CSS), Min-Power k-edge Connected Spanning Subgraph problem (MPk-CSS), and finally the Min-Power k-Edge-Disjoint Paths problem in directed graphs (MPk-EDP). We give an O(log4 n)-approximation algorithm for MPb-EC. This gives an O(log4 n)-approximation algorithm for MPk-CSS for most values of k, improving the best previously known O(k)-approximation guarantee. In contrast, we obtain an O(√n) approximation algorithm for ECSS, and for its variant in directed graphs (i.e., MPk-EDP), we establish the following inapproximability threshold: MPk-EDP cannot be approximated within O(2 log1-ε n) for any fixed ε > 0, unless NP-hard problems can be solved in quasi-polynomial time.

اللغة الأصليةالإنجليزيّة
الصفحات (من إلى)195-208
عدد الصفحات14
دوريةMathematical Programming
مستوى الصوت110
رقم الإصدار1
المعرِّفات الرقمية للأشياء
حالة النشرنُشِر - يونيو 2007


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