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# Graph Theory

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by

## Anthony Vernikov

on 9 December 2016

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#### Transcript of Graph Theory

Graph Representation
Seven Bridges of Königsberg
Definitions
In the most common sense of the term, a graph is an ordered pair G = (V, E).

The order of a graph is |V| (the number of vertices). A graph's size is |E|, the number of edges.
The Seven Bridges of Königsberg
Graph theory is the study of graphs, which are mathematical structures used to model relations between objects.
Cycles
Graph theory is used in Geographic information system(GIS)
A closed chain of vertices in a graph.
Königsberg Bridges and Graph Theory
Minimum Spanning Tree
Find the "cheapest" path that connects all nodes in the graph.
Prim's Algorithm
Thanks For Watching!!
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