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Titlebook: Combinatorial Optimization and Graph Algorithms; Communications of NI Takuro Fukunaga,Ken-ichi Kawarabayashi Book 2017 Springer Nature Sing

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Sudip Vhaduri,Christian Poellabauer-weighted network design problem. In this framework, an algorithm constructs a solution by repeatedly choosing a low-density graph. The analysis based on this framework basically follows from the idea used in the analysis of the well-known greedy algorithm for the set cover problem. After Klein and
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Tarek Sayed,Mohamed Zaki,Ahmed Tageldinis theory is a spin-off of discrete convex analysis by Murota, and is motivated by combinatorial dualities in multiflow problems and the complexity classification of facility location problems on graphs. We outline the theory and algorithmic applications in combinatorial optimization problems.
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Performance Measurement in the Smart Cities,We survey approximation algorithms for facility location and clustering problems, focusing on the recent developments. In particular, we review two algorithmic methodologies that have successfully lead to the current best approximation guarantees known: local search and linear programming based methods.
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https://doi.org/10.1007/978-981-10-6147-9Graph Algorithm; Combinatorial Optimization; Approximation Algorithm; Polynomial Time; Network Design; Ti
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