Question
Prove that a graph with chromatic number equal to $k$ has at least $\left(\begin{array}{c}k \\ 2\end{array}\right)$ edges.
Step 1
Step 1: Definition of chromatic number The chromatic number of a graph is the smallest number of colors needed to color the vertices of the graph such that no two adjacent vertices share the same color. Show more…
Show all steps
Your feedback will help us improve your experience
Nick Johnson and 84 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
What can be said about the chromatic number of a graph that has $K_{n}$ as a subgraph?
Graphs
Graph Coloring
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD