By Ricardo Baeza-Yates (auth.), Tiziana Calamoneri, Josep Diaz (eds.)

This booklet constitutes the refereed complaints of the seventh foreign convention on Algorithms and Computation, CIAC 2010, held in Rome, Italy, in could 2010. The 30 revised complete papers offered including three invited papers have been conscientiously reviewed and chosen from 114 submissions. one of the issues addressed are graph algorithms I, computational complexity, graph coloring, tree algorithms and tree decompositions, computational geometry, video game conception, graph algorithms II, and string algorithms.

**Read or Download Algorithms and Complexity: 7th International Conference, CIAC 2010, Rome, Italy, May 26-28, 2010. Proceedings PDF**

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**Extra resources for Algorithms and Complexity: 7th International Conference, CIAC 2010, Rome, Italy, May 26-28, 2010. Proceedings**

**Sample text**

1a together with t = 1 and k = 2. In other words we are looking for two optimal sources for links to node 1. The solution S = {4, 6} is shown in Fig. 1b. You might think that the solution would be {6, 7} as shown in Fig. 1c because nodes 6 and 7 are the two most popular nodes in {3, 4, 5, 6, 7} prior to the modiﬁcation. The nodes {2, 4, 6} is an independent set with relatively low z-values between them making the set a good choice of sources for links to node 1 according to Theorem 1. Maximizing PageRank with New Backlinks 43 We will show how to embed any regular3 graph in a graph containing a node t such that obtaining links from nodes in an independent set of the regular graph will be optimal for t.

New York (1990) 4. : Eﬃcient exact algorithms on planar graphs: Exploiting sphere cut branch decompositions. In: Proceedings of the 13th Annual European Symposium on Algorithms ESA, pp. 95–106. Springer, Heidelberg (2005) 5. : Parameterized complexity: A framework for systematically confronting computational intractability. Series in Discrete Mathematics and Theoretical Computer Science DIMACS, pp. 49–99 (1997) 6. : An exact algorithm for the maximum leaf spanning tree problem. In: Proceedings of the 4th International Workshop on Parameterized and Exact Computation IWPEC (2009) 7.

If E is the matrix with each entry equal to 1 then the transition probability matrix Q for the modiﬁed Markov Chain is T i given by Q = 1−α n E + αP . The powers w Q converge to the same probability T distribution π for any initial probability distribution w on VG as i tends to inﬁnity – implying π T Q = π T . The vector π = {πv }v∈VG is known as the PageRank vector and the PageRank value for a node v is the probability that a random surfer visits v after i steps for large i. The matrix I − αP is invertible and entry zuv in Z = (I − αP )−1 is the expected number of visits – preceding the ﬁrst zapping event – to page v for a random surfer starting at page u [8].