Approximation and Online Algorithms: 10th International by Nikhil Bansal (auth.), Thomas Erlebach, Giuseppe Persiano

By Nikhil Bansal (auth.), Thomas Erlebach, Giuseppe Persiano (eds.)

This publication constitutes the completely refereed submit workshop lawsuits of the tenth overseas Workshop on Approximation and on-line Algorithms, WAOA 2012, held in Ljubljana, Slovenia, in September 2012 as a part of the ALGO 2012 convention occasion. The 22 revised complete papers awarded including invited speak have been rigorously reviewed and chosen from 60 submissions. The workshop coated components akin to geometric difficulties, on-line algorithms, scheduling, algorithmic online game thought, and approximation algorithms.

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The number of locations (that is, vertices) in which regenerators are placed. T. Erlebach and G. ): WAOA 2012, LNCS 7846, pp. 42–55, 2013. c Springer-Verlag Berlin Heidelberg 2013 On the Complexity of the Regenerator Location Problem 43 In this article we deal with the second measure. g. by the use of common equipment or manpower). We deal with two types of connectivity requirements. In the first, we are given paths between certain terminal vertices, and we need to find a placement of regenerators such that the given paths are satisfied.

N } is a set of paths in G representing the lightpaths. Q = {q1 , q2 , . . e. qi = {si , ti } for some si , ti ∈ V , for every 1 ≤ i ≤ n. Given a subset U ⊆ V (G), G[U ] denotes the def subgraph of G induced by U . For any subset Q ⊆ Q of requests, term(Q) = ∪Q denotes the set of terminals of Q. The length (π) of a lightpath π is the number of its edges. The internal vertices (resp. edges) of a path π are the vertices (resp. e. d, tw(G)). However the generalization to higher values is simple.

6], where it is pointed out that MBST can also be seen as a natural optimization version of the Hamiltonian path problem since any spanning tree without branch nodes is a Hamiltonian path and vice versa. Practical applications of MBST can be found in the design of optical networks. Gargano et al. [6] consider light trees as a means to realize all-optical multicast (sending information from one source to multiple sinks). , light paths). In a WDM network, multicast can therefore only be achieved by establishing multiple unicast connections leading to a decreased performance.

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