Claviro

Graph Basics

Graph Structure & Representation

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Understanding Graph Basics

Key Concepts
  • • Nodes: Vertices that represent entities
  • • Edges: Connections between nodes
  • • Density: Measure of how connected a graph is
  • • Degree: Number of edges connected to a node
Density Formula

Density = \frac{2E}{V(V-1)}

About this concept

What to notice

Observe how adding or removing edges changes graph connectivity and properties.

Why it matters

Understanding graph structure is fundamental to solving real-world problems like navigation, social networks, and computer networks.

Think about

How would you represent a friendship network or a city map as a graph?

Formula & Application

Key Formula

Density = \frac{2E}{V(V-1)}

Use this formula to calculate the relationship between different variables in this concept.

Example

A social network can be represented as a graph where users are nodes and friendships are edges.