How to find the chromatic number of a graph?
Understand the Problem
The question is asking about the process involved in determining the chromatic number of a graph, which is the minimum number of colors needed to color the vertices of the graph so that no two adjacent vertices share the same color.
Answer
The smallest number of colors needed so no adjacent vertices share the same color.
The chromatic number of a graph is the smallest number of colors needed to color the vertices so that no two adjacent vertices share the same color.
Answer for screen readers
The chromatic number of a graph is the smallest number of colors needed to color the vertices so that no two adjacent vertices share the same color.
More Information
The chromatic number is an important concept in graph theory with applications in scheduling problems, register allocation in compilers, and more.
Tips
A common mistake is failing to ensure no two adjacent vertices have the same color. Always double-check each vertex's adjacent colors.
Sources
- Chromatic Number of a Graph | Graph Colouring - GeeksforGeeks - geeksforgeeks.org
- Chromatic Number -- from Wolfram MathWorld - mathworld.wolfram.com
- Chromatic Number Definition & Examples - Study.com - study.com
