# Definition:Graph Theory

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## Definition

**Graph theory** is the branch of mathematics concerned with the structure and properties of graphs.

As a (graph-theoretical) graph has the same conceptual definition as a relation, it follows that there is considerable overlap between the fields of graph theory and relation theory.

## Also see

- Results about
**graph theory**can be found here.

## Historical Note

**Graph theory** is a relatively new branch of mathematics, most of it having been developed since $1890$.

## Sources

- 1992: George F. Simmons:
*Calculus Gems*... (previous) ... (next): Chapter $\text {A}.21$: Euler ($\text {1707}$ – $\text {1783}$) - 1992: David Wells:
*Curious and Interesting Puzzles*... (previous) ... (next): The Bridges of Königsberg - 1993: Richard J. Trudeau:
*Introduction to Graph Theory*... (previous) ... (next): $1$. Pure Mathematics: What's coming - 2014: Christopher Clapham and James Nicholson:
*The Concise Oxford Dictionary of Mathematics*(5th ed.) ... (previous) ... (next): Entry:**graph theory**