By Piotr Berman, Arnab Bhattacharyya, Konstantin Makarychev, Sofya Raskhodnikova (auth.), Luca Aceto, Monika Henzinger, Jiří Sgall (eds.)

The two-volume set LNCS 6755 and LNCS 6756 constitutes the refereed complaints of the thirty eighth overseas Colloquium on Automata, Languages and Programming, ICALP 2011, held in Zürich, Switzerland, in July 2011. The 114 revised complete papers (68 papers for tune A, 29 for tune B, and 17 for tune C) provided including four invited talks, three most sensible pupil papers, and three top papers have been rigorously reviewed and chosen from a complete of 398 submissions. The papers are grouped in 3 significant tracks on algorithms, complexity and video games; on good judgment, semantics, automata, and conception of programming; in addition to on foundations of networked computation: versions, algorithms and knowledge management.

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Additional info for Automata, Languages and Programming: 38th International Colloquium, ICALP 2011, Zurich, Switzerland, July 4-8, 2011, Proceedings, Part I

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It remains to analyze the cost of the solution subgraph. First, we analyze the cost incurred by the covering-procedure. Then we analyze the number of inner iterations and the total cost incurred by solving the problem of increasing the subset connectivity of a graph by one. Finally, we apply Theorem 1 to analyze the final approximation guarantee. Consider any micro iteration of the covering-procedure. By Lemma 4, r is contained in at most O(1) halo-sets, assuming that |T | ≥ 2 . Hence, we have to apply the rooted subset ( + 1)-connectivity algorithm O(1) times.

2. The minimal antispanner found by the oracle doesn’t correspond to a violated constraint (see discussion below). 3. 3. The probability that there exists an edge (s, t) and a minimal ∗ s,t antispanner C for it such that \ E is at most e∈C xe ≥ 1, but C ⊂ E 1√ − 2 n ln n |E| · e . Proof. First, we bound the total number of minimal antispanners for thin edges. 1. If (s, t) is a thin edge, then there√are at most (n/β)n/β minimal√ antispanners for (s, t). In particular, if β = n, then there are at most √ n n minimal antispanners.

Let {s1 , . . , sns } be a given set of ns points in E2 (sources), and let {t1 , . . , tnt } be a given set of nt points in E2 (sinks). Let n = ns + nt . Each source si supplies some integral demand d(si ) to the sinks, and each sink tj is required to receive some integral demand d(tj ) from the sources. We assume that i d(si ) = j d(tj ) and define D = i d(si ) to be the total demand. Furthermore, there is given a single link type with positive integral capacity k. 28 A. Adamaszek et al. A geometric network is a directed, weighted (finite) multigraph embedded in E2 .

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