May 2015
Intermediate to advanced
272 pages
6h 2m
English
Content preview from Introduction to Lattice Theory with Computer Science Applications
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Chapter 2Representing Posets
2.1 Introduction
We now look at some possible representations for efficient queries and operations on posets. For this purpose, we first examine some of the common operations that are generally performed on posets. Given a poset 
, the following operations on elements 
are frequently performed:
- Check if
. We denote this operation by 
. - Check if
covers 
. - Compute
(
) and 
(
).
In all such representations, we first need to number the elements of the poset. A useful way ...
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