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Introduction to Graphs

Explore the fundamental concepts of graphs including vertices, edges, paths, cycles, and degrees. Understand how graphs represent complex relationships beyond linear structures and why they are vital in networks, navigation, and social media. Learn to represent graphs in C# with node classes holding values and neighbor lists.

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A graph is a non-linear data structure made up of two main components:

  • Vertices (nodes)

  • Edges

A vertex represents an object, person, place, or thing, while an edge represents a connection or relationship between two vertices.

Unlike linear data structures such as arrays or linked lists, graphs are designed to represent complex relationships where elements can be connected in many different ways.

Why graphs matter

Graphs are extremely useful because many ...