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Titlebook: Combinatorial and Algorithmic Aspects of Networking; First Workshop on Co Alejandro López-Ortiz,Angèle M. Hamel Conference proceedings 2005

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Lecture Notes in Computer Sciencehttp://image.papertrans.cn/c/image/230033.jpg
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Cuts and Disjoint Paths in the Valley-Free Path Model of Internet BGP Routingseparates . and . with respect to all valid paths, we give a 2-approximation algorithm and prove that the problem is .-hard. The corresponding problem for edge cuts is shown to be polynomial-time solvable. We present additional results for acyclic graphs.
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The External Network Problem with Edge- or Arc-Connectivity Requirementsere are . arc-disjoint paths ( which may be internal or external ) from . to ...We present polynomial algorithms that, given a digraph . and positive integer ., will find a set of external vertices . of minimum size subject to the requirement that (.,.) must be externally-.-arc-strong.
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https://doi.org/10.1007/978-3-030-52624-5multaneously, for all canonical utility functions. The dual update subroutine lends itself to an efficient distributed implementation..We then employ the fractional packing framework to prove that at most .(. log .) iterations of the dual update subroutine are required; here . is the number of edges in the network.
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https://doi.org/10.1007/978-3-031-43770-0stribution of degrees), to practical (e.g.: improvements in crawling technology, uses in information retrieval, web spam prevention)..The goal of this talk is to convey an introduction to the state of the art in this area and to sketch the current issues in collecting, representing, analyzing, and modeling this graph.
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