Differences between revisions 10 and 16 (spanning 6 versions)

Graph Theory

This page contains over view information and links to concepts covered in "Intro to Algorithms" by Cormen, Leiserson & Rivest.

See Also TreeStructures

Notation

A graph is usually specified by:

$G = (V, E)$

The size of input has two components $| V |, | E |$

In AsymptoticNotation we abuse the notation for size by writing

$O (V E) = O (| V | * | E |)$

Denote the set of vertices in graph G in pseudocode as $V [G]$ and the edges $E [G]$

MaxFlowNetwork
This general problem arises in many forms and a good algorithm for computer MaxFlow can be used to solve a variety of related problems

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-[[latex2( $G = (V, E)$ )]]
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-The size of input has two components [[latex2( $| V |, | E |$ )]]
+The size of input has two components  $| V |, | E |$
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-[[latex( $O (V E) = O (| V | * | E |)$ )]]
+ $O (V E) = O (| V | * | E |)$
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-Denote the set of vertices in graph G in pseudocode as  [[latex2( $V [G]$ )]] and the edges [[latex2( $E [G]$ )]]
+Denote the set of vertices in graph G in pseudocode as   $V [G]$  and the edges  $E [G]$