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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($O(VE)=O(|V|*|E|)$)>> | $$O(VE)=O(|V|*|E|)$$ |
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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 $$E[G]$$ |
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
$$O(VE)=O(|V|*|E|)$$
Denote the set of vertices in graph G in pseudocode as $$V[G]$$ and the edges $$E[G]$$
Chapter 22
Concepts
Applications
Decomposing a graph into its StronglyConnectedComponents
Chapter 23
Minimum Spanning Trees are generally GreedyAlgorithms
Chapter 24-25
- 24: Shortest Path to all vertices from a single vertex
Chapter 26
This general problem arises in many forms and a good algorithm for computer MaxFlow can be used to solve a variety of related problems