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Matching Theory

✍ Scribed by L. Lovász and M.D. Plummer (Eds.)


Book ID
127454037
Publisher
North-Holland
Year
1986
Tongue
English
Weight
3 MB
Edition
1
Category
Library
City
Amsterdam; New York :, New York, N.Y
ISBN
0080872328

No coin nor oath required. For personal study only.

✦ Synopsis


This study of matching theory deals with bipartite matching, network flows, and presents fundamental results for the non-bipartite case. It goes on to study elementary bipartite graphs and elementary graphs in general. Further discussed are 2-matchings, general matching problems as linear programs, the Edmonds Matching Algorithm (and other algorithmic approaches), f-factors and vertex packing.


📜 SIMILAR VOLUMES


A random matching theory
✍ C.D. Aliprantis; G. Camera; D. Puzzello 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 181 KB
General theory of broadband matching
✍ Chen, Wai-Kai; Satyanarayana, Chandra 📂 Article 📅 1982 🏛 The Institution of Electrical Engineers ⚖ 749 KB
An extension of matching theory
✍ Gérard Cornuéjols; David Hartvigsen 📂 Article 📅 1986 🏛 Elsevier Science 🌐 English ⚖ 913 KB
Social organizations and matching theory
✍ F. Masarani; S. S. Gokturk 📂 Article 📅 1988 🏛 Springer US 🌐 English ⚖ 864 KB

We generalize the Gale-Shapley matching theory to the formation of social units consisting of more than two individuals and each individual having more than one role. We show how social preferences and social structure could conflict with freedom. In the absence of such a conflict, we define stabil