How to find the chromatic number of a graph?
Understand the Problem
The question is asking for the method or process to determine the chromatic number of a graph, which refers to the minimum number of colors needed to color the vertices of the graph such that no two adjacent vertices share the same color.
Answer
The chromatic number is the smallest number of colors needed to color a graph.
The chromatic number is the smallest number of colors needed to color a graph so that no two adjacent vertices share the same color.
Answer for screen readers
The chromatic number is the smallest number of colors needed to color a graph so that no two adjacent vertices share the same color.
More Information
The chromatic number is a critical concept in graph theory and has applications in scheduling, map coloring, and network design.
Tips
A common mistake is not verifying all adjacent vertices for conflicts, leading to an incorrect chromatic number.
Sources
- Chromatic Number of a Graph | Graph Colouring - GeeksforGeeks - geeksforgeeks.org
- How to find Chromatic Number | Graph coloring Algorithm - JavaTpoint - javatpoint.com
- Chromatic Number -- from Wolfram MathWorld - mathworld.wolfram.com
