Combinatorics

Download e-book for iPad: Algorithmics of Matching Under Preferences: 2 (Series on by David F Manlove

By David F Manlove

ISBN-10: 9814425249

ISBN-13: 9789814425247

Matching issues of personal tastes are throughout us: they come up whilst brokers search to be allotted to each other at the foundation of ranked personal tastes over capability results. effective algorithms are wanted for generating matchings that optimise the delight of the brokers in keeping with their choice lists.

In contemporary years there was a pointy raise within the learn of algorithmic points of matching issues of personal tastes, partially reflecting the growing to be variety of functions of those difficulties all over the world. the significance of the examine quarter used to be known in 2012 in the course of the award of the Nobel Prize in monetary Sciences to Alvin Roth and Lloyd Shapley.

This e-book describes crucial ends up in this region, offering a well timed replace to The solid Marriage challenge: constitution and Algorithms (D Gusfield and R W Irving, MIT Press, 1989) in reference to solid matching difficulties, when additionally broadening the scope to incorporate matching issues of personal tastes below a number of substitute optimality criteria.

Contents:

  • Preliminary Definitions, effects and Motivation
  • Stable Matching Problems:
    • The sturdy Marriage challenge: An Update
    • SM and HR with Indifference
    • The reliable Roommates Problem
    • Further solid Matching Problems
  • Other optimum Matching Problems:
    • Pareto optimum Matchings
    • Popular Matchings
    • Profile-Based optimum Matchings

Readership: scholars and execs attracted to algorithms, specially within the research of algorithmic features of matching issues of preferences.

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Algorithmics of Matching Under Preferences: 2 (Series on Theoretical Computer Science) by David F Manlove


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