Graph Theory & Trees

Weighted Graph

A weighted graph assigns a numerical cost, distance or capacity to edges.

Meaning

What Is Weighted Graph?

A weighted graph assigns a numerical cost, distance or capacity to edges.

A weighted graph assigns a numerical cost, distance or capacity to edges.

Examples

Examples of Weighted Graph

1A road edge may have weight 12 km.
Understand

Formula and Key Points

Formula / rule
w(e)
  • Know the definition and standard notation for Weighted Graph.
  • Be able to recognise or compute weighted graph in a small example.
  • Connect the concept to nearby topics in the same subject before using it in larger CSE problems.
CSE Connection

Why This Matters in Computer Science

Used in networks, routing, dependency graphs, compilers, social networks, file systems and graph algorithms.

FAQ

Weighted Graph: Frequently Asked Questions

What is Weighted Graph?

A weighted graph assigns a numerical cost, distance or capacity to edges.

Why is Weighted Graph useful in computer science?

Used in networks, routing, dependency graphs, compilers, social networks, file systems and graph algorithms.