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Titlebook: Combinatorial and Algorithmic Aspects of Networking; 4th Workshop, CAAN 2 Jeannette Janssen,Paweł Prałat Conference proceedings 2007 Spring

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Combinatorial Algorithms for Listing Paths in Minimal Change Orderinimal change ordering, successive elements differ in some pre-specified small way. In this paper, we deal with the generation of paths in a special type of minimal change ordering, the revolving door ordering. We propose a simple algorithm to list all paths in a complete graph, .., with . vertices
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Improving Topological Routing in N2R Networksy been satisfactorily proposed for some regular structures such as Grid or Honeycomb. An initial proposal has also been developed for the N2R structures. This paper proposes a modification of this previous algorithm, and in addition two other alternatives. The three options are systematically analyz
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Combinatorial Algorithms for Listing Paths in Minimal Change Orderin revolving door order such that each path is generated exactly once. The algorithm is built using space and time efficient schemes that list all spanning paths and “path sets” in revolving door order. Our algorithm is optimal in the sense that it operates in constant amortized time (CAT) and uses linear space.
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Improving Topological Routing in N2R Networksed in terms of executing time and path distances, showing that trade-offs are needed in order to determine which algorithm is best for a given case. Also, the possible practical applications the methods could have, are discussed for different traffic scenarios.
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Yuzuru Tanaka,Hajime Imura,Jonas Sjöberghorks: in Selfish Routing and Path Coloring a player must determine both a routing and a coloring for her request, while in Selfish Path Coloring the routing is predetermined and only a coloring of requests needs to be specified. We prove specific upper and lower bounds on the price of anarchy of these games under various payment functions.
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Moi-Tin Chew,Serge Demidenko,Yoke-Fei Ngnumber of players. In particular, for nonatomic players and affine latency functions we show that the competitive ratio is at most .. Finally, we present improved upper bounds for the special case of two nodes connected by parallel arcs.
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