In
mathematics, and more specifically in
graph theory, a
graph is a representation of a set of objects where some pairs of objects are connected by
links. The interconnected objects are represented by mathematical abstractions called
vertices (also called
nodes or
points), and the links that connect some pairs of vertices are called
edges (also called
arcs or
lines). Typically, a graph is depicted in diagrammatic form as a set of dots for the vertices, joined by lines or curves for the edges. Graphs are one of the objects of study in
discrete mathematics.