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Introduction to lattice theory with computer science applications / Vijay K. Garg.

By: Material type: TextTextPublication details: New Jersey : John Wiley, ©2015.Description: xxii, 237 p. : illustrations ; 24 cmISBN:
  • 9781118914373
Subject(s): DDC classification:
  • 004.0151 23 G231
Contents:
1. Introduction -- 2. Representing posets -- 3. Dilworth's theorom -- 4. Merging algorithms -- 5. Lattices -- 6. Lattice completion -- 7. Morphisms -- 8. Modular lattices -- 9. Distributive lattices -- 10. Slicing -- 11. Applications of slicing to combinatorics -- 12. Interval orders -- 13. Tractable posets -- 14. Enumeration algorithms -- 15. Lattice of maximal antichanis -- 16. Dimension theory -- 17. Fixed point theory.
Summary: A computational perspective on partial order and lattice theory, focusing on algorithms and their applications This book provides a uniform treatment of the theory and applications of lattice theory.
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Includes bibliographical references and index.

1. Introduction --
2. Representing posets --
3. Dilworth's theorom --
4. Merging algorithms --
5. Lattices --
6. Lattice completion --
7. Morphisms --
8. Modular lattices --
9. Distributive lattices --
10. Slicing --
11. Applications of slicing to combinatorics --
12. Interval orders --
13. Tractable posets --
14. Enumeration algorithms --
15. Lattice of maximal antichanis --
16. Dimension theory --
17. Fixed point theory.

A computational perspective on partial order and lattice theory, focusing on algorithms and their applications This book provides a uniform treatment of the theory and applications of lattice theory.

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