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Combinatorics and ordered sets
 
Combinatorics and ordered sets
eBook ISBN:  978-0-8218-7644-2
Product Code:  CONM/57.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Combinatorics and ordered sets
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Combinatorics and ordered sets
eBook ISBN:  978-0-8218-7644-2
Product Code:  CONM/57.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 571986; 285 pp
    MSC: Primary 06; Secondary 05

    For the mathematician interested in discrete mathematics, from the senior undergraduate to the professional level, this volume provides first-rate surveys of the important combinatorics themes in ordered sets.

    These expository lectures, given at a 1985 Joint Summer Research Conference, cover a wide range of topics, which include: the three-machine problem to illustrate the order-theoretic aspects of scheduling theory; the techniques used in settling the “matching conjecture”; the decomposition of ordered sets into few chains; the reorientation of graphs; the varied occurrences of the meet-distribution property; surveys techniques used in settling binary sorting problems; the formulation of a general viewpoint for retraction; the survey of cutsets; and the role played by subdiagrams in ordered sets.

  • Table of Contents
     
     
    • Articles
    • Werner Poguntke — Order-theoretic aspects of scheduling [ MR 856231 ]
    • Joseph P. S. Kung — Radon transforms in combinatorics and lattice theory [ MR 856232 ]
    • Henry A. Kierstead — Recursive ordered sets [ MR 856233 ]
    • Oliver Pretzel — Orientations and reorientations of graphs [ MR 856234 ]
    • Paul H. Edelman — Abstract convexity and meet-distributive lattices [ MR 856235 ]
    • Peter M. Winkler — Correlation and order [ MR 856236 ]
    • El Mostapha Jawhari, Maurice Pouzet and Driss Misane — Retracts: graphs and ordered sets from the metric point of view [ MR 856237 ]
    • Mohamed H. El-Zahar and Nejib Zaguia — Antichains and cutsets [ MR 856238 ]
    • Ivan Rival — Stories about order and the letter N (en) [ MR 856239 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 571986; 285 pp
MSC: Primary 06; Secondary 05

For the mathematician interested in discrete mathematics, from the senior undergraduate to the professional level, this volume provides first-rate surveys of the important combinatorics themes in ordered sets.

These expository lectures, given at a 1985 Joint Summer Research Conference, cover a wide range of topics, which include: the three-machine problem to illustrate the order-theoretic aspects of scheduling theory; the techniques used in settling the “matching conjecture”; the decomposition of ordered sets into few chains; the reorientation of graphs; the varied occurrences of the meet-distribution property; surveys techniques used in settling binary sorting problems; the formulation of a general viewpoint for retraction; the survey of cutsets; and the role played by subdiagrams in ordered sets.

  • Articles
  • Werner Poguntke — Order-theoretic aspects of scheduling [ MR 856231 ]
  • Joseph P. S. Kung — Radon transforms in combinatorics and lattice theory [ MR 856232 ]
  • Henry A. Kierstead — Recursive ordered sets [ MR 856233 ]
  • Oliver Pretzel — Orientations and reorientations of graphs [ MR 856234 ]
  • Paul H. Edelman — Abstract convexity and meet-distributive lattices [ MR 856235 ]
  • Peter M. Winkler — Correlation and order [ MR 856236 ]
  • El Mostapha Jawhari, Maurice Pouzet and Driss Misane — Retracts: graphs and ordered sets from the metric point of view [ MR 856237 ]
  • Mohamed H. El-Zahar and Nejib Zaguia — Antichains and cutsets [ MR 856238 ]
  • Ivan Rival — Stories about order and the letter N (en) [ MR 856239 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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