I need definitions, descriptions, how to solve and example of the following: •The Mathematics of Graphs •Graphs...

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Advance Math

I need definitions, descriptions, how to solve and example of the following:
•The Mathematics of Graphs
•Graphs and Euler circuits
•Weighted graphs
•Euler’s formula
•Graph Coloring

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Graph theory is the study of graphswhich are mathematical structures used to model pairwise relationsbetween objects A graph in this context is made up ofvertices also called nodes or pointswhich are connected by edges also called linksor linesAn Euler circuit is a circuit that uses every edge of a graphexactly onceAn Euler circuit starts and ends at the same vertexSuppose that a graph G has an Euler circuit C For every vertex vin G each edge having v as an endpoint shows up exactly once in CThe circuit C enters v the same    See Answer
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