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Graphs

Definition: A graph is a collection of things (usually called vertices) together with a collection of pairs of vertices (called edges)

Note: Edges are NOT geometric => no specific shape, form length

Graphs can/do have many different visualization

A simple graph is the one without loops, without multiple edges.

The degree of a vertex, deg(v) = 2 x # of loops based at v + 1 x # of nonloop edges involving v

Alumni Liaison

Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett