BCNF Decomposition: Difference between revisions

From Algorithm Wiki
Jump to navigation Jump to search
No edit summary
No edit summary
 
Line 23: Line 23:


[[File:BCNF Decomposition - Time.png|1000px]]
[[File:BCNF Decomposition - Time.png|1000px]]
== Space Complexity Graph ==
[[File:BCNF Decomposition - Space.png|1000px]]
== Time-Space Tradeoff ==
[[File:BCNF Decomposition - Pareto Frontier.png|1000px]]

Latest revision as of 09:09, 28 April 2023

Description

BCNF Decomposition is the problem of decomposing a relation schema into Boyce-Codd normal form (BCNF).

A relation schema $R$ is in Boyce Codd Normal Form (abbr. BCNF) if for all non-trivial FDs $X \rightarrow Y$ in $F^+$, $X$ is a superkey. In extending this notion to database schemas, we must be conscious of the UR-assumption. We say that $R_i = <ATTR_i,F_i>$ is in BCNF if the schema $<ATTR_i, F^+(ATTR_i)>$ is in BCNF, and $D$ is in BCNF if each $R_i$ is.

Related Problems

Related: Decisional BCNF

Parameters

$n$: size of database?

$k$: number of functional dependencies

Table of Algorithms

Currently no algorithms in our database for the given problem.

Time Complexity Graph

BCNF Decomposition - Time.png