Color all vertices so that no two adjacent vertices have the same color!
Vertices: 6
Edges: 0
Chromatic Number: -
• Select a color from the palette below the challenge.
• Click a vertex on the graph to color it with the selected color.
• Use "Check Coloring" to verify your solution.
• Click "Show Solution" to see an automatic coloring.
• "New Graph" generates a different random graph.
• "Clear Colors" removes all your coloring.
• Click the floating controls button (bottom right) to open the parameters panel.
• Change the number of vertices or colors using the sliders.
• The graph and challenge will update automatically.
• No two connected vertices can have the same color.
• Try to use as few colors as possible.
• Use the info and controls panels for help and customization.
Vertex coloring assigns colors to vertices such that no two adjacent vertices share the same color.
Chromatic Number χ(G):
The minimum number of colors needed to properly color a graph.
Examples:
Graph coloring has numerous real-world applications and algorithmic approaches.
Greedy Algorithm:
Color vertices in order, using the smallest available color for each vertex.
Applications: