By Michael Mitzenmacher (auth.), Amos Fiat, Peter Sanders (eds.)

This publication constitutes the refereed court cases of the seventeenth Annual eu Symposium on Algorithms, ESA 2009, held in Copenhagen, Denmark, in September 2009 within the context of the mixed convention ALGO 2009.

The sixty seven revised complete papers offered including three invited lectures have been rigorously reviewed and chosen: fifty six papers out of 222 submissions for the layout and research song and 10 out of 36 submissions within the engineering and purposes music. The papers are geared up in topical sections on timber, geometry, mathematical programming, algorithmic video game concept, navigation and routing, graphs and aspect units, bioinformatics, instant communiations, flows, matrices, compression, scheduling, streaming, on-line algorithms, bluetooth and dial a journey, decomposition and masking, set of rules engineering, parameterized algorithms, facts buildings, and hashing and lowest universal ancestor.

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**Extra info for Algorithms - ESA 2009: 17th Annual European Symposium, Copenhagen, Denmark, September 7-9, 2009. Proceedings**

**Sample text**

G. [9]). This greatly simpliﬁes the description of the algorithms, as the polynomial multiplication is actually an important computational step. Similarly, we could deﬁne the generating polynomials for independent sets, vertex covers, dominating sets, and so on. These polynomials are deﬁned for all graphs, and some might well be worth studying for their structural properties. Definition 2. With br being the number of independent sets of size r n br xr fI (G; x) = r=0 is the independent set generating polynomial.

A main focus is on parametrized complexity of counting and evaluation problems on graphs deﬁnable in Monadic Second Order Logic [10,11,12]. For bounded tree-width these problems are solvable in polynomial time. The resulting running time is O(f (k)n4 ) with the dependence on the parameter f (k) double exponential. When our algorithm is applied to graph polynomials for graphs of bounded tree width, then f (k) is singly exponential. There is some confusion caused by a linear time algorithm for the interlace polynomial for graphs of bounded tree-width [13].

Ruling out PTAS for graph min-bisection, dense k-subgraph, and bipartite clique. SIAM J. Comput. 36, 1025–1071 (2006) 14. : On the hardness of approximating spanners. Algorithmica 30, 432– 450 (2001) 15. : Hardness of approximation for vertexconnectivity network design problems. SIAM Journal on Computing 33, 185–199 (2004) 16. : Approximation algorithms for the Label-CoverMAX and Red-Blue Set Cover problems. J. jp Abstract. An L(2, 1)-labeling of a graph G is an assignment f from the vertex set V(G) to the set of nonnegative integers such that | f (x) − f (y)| ≥ 2 if x and y are adjacent and | f (x) − f (y)| ≥ 1 if x and y are at distance 2, for all x and y in V(G).