Basic posets
by Neggers, J.
This book introduces the reader to the general theory of partially ordered sets, i.e., posets. The text is presented in a rather informal manner, with interesting examples and computations, which rely on the Hasse diagram to build graphical intuition for the structure of finite posets. The proofs of a small number of theorems is included in the appendix. Important examples especially the Letter N poset, which plays a role akin to that of the Petersen graph in providing a candidate counterexampl…
Read More ↓Title Statements
- Full title :Basic posets / J. Neggers, Hee Sik Kim.
Summary
This book introduces the reader to the general theory of partially ordered sets, i.e., posets. The text is presented in a rather informal manner, with interesting examples and computations, which rely on the Hasse diagram to build graphical intuition for the structure of finite posets. The proofs of a small number of theorems is included in the appendix. Important examples especially the Letter N poset, which plays a role akin to that of the Petersen graph in providing a candidate counterexample to many propositions, are used repeatedly throughout the text.
Read More ↓Edition Statements
- Publication Date:©1998.
Publication Statements
- Publisher(s):World Scientific
- Place of Publication:Singapore
- Language:eng
- Publication Date:©1998.
The Physical Object
- Description:1 online resource (viii, 178 pages) : : illustrations
Edition Identifiers
- ISBN:9789812815996, 9812815996
- oclc:ocn828424883
- LC Classification:QA171.485
- Dewey Decimal:511.32
Table of Contents
Ch. 1. Definitions and examples -- ch. 2. How to represent a poset -- ch. 3. Poset morphisms -- ch. 4. Construction of new posets from old posets -- ch. 5. Connectedness -- ch. 6. Linear extensions.
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