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This book surveys matching theory, with an emphasis on connections with other areas of mathematics and on the role matching theory has played, and continues to play, in the development of some of these areas. Besides basic results on the existence of matchings and on the matching structure of graphs, the impact of matching theory is discussed by providing crucial special cases and nontrivial examples on matroid theory, algorithms, and polyhedral combinatorics. The new Appendix outlines how the theory and applications of matching theory have continued to develop since the book was first published in 1986, by launching (among other things) the Markov Chain Monte Carlo method.
This book surveys matching theory, with an emphasis on connections with other areas of mathematics and on the role matching theory has played, and continues to
This book provides the fundamental knowledge of the classical matching theory problems. It builds up the bridge between the matching theory and the 5G wireless
There is more statistical data produced in today’s modern society than ever before. This data is analysed and cross-referenced for innumerable reasons. Howeve
Two-sided matching provides a model of search processes such as those between firms and workers in labor markets or between buyers and sellers in auctions. This
The detection and recognition of objects in images is a key research topic in the computer vision community. Within this area, face recognition and interpretati
