? east 3 v True ✓ ? colors. v 2. If a graph contains a subgraph isomorphic to K3, then the chromatic number of the graph is at 3. If the chromatic number of a graph is at most 4, then the graph is planar. 4. If a graph with 11 vertices has chromatic number 5, then it has a proper vertex coloring using 4
? east 3 v True ✓ ? colors. v 2. If a graph contains a subgraph isomorphic to K3, then the chromatic number of the graph is at 3. If the chromatic number of a graph is at most 4, then the graph is planar. 4. If a graph with 11 vertices has chromatic number 5, then it has a proper vertex coloring using 4
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:True
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1. If H is a subgraph of G, then x(H) = x(G)
2. If a graph contains a subgraph isomorphic to K3, then the chromatic number of the graph is at
3. If the chromatic number of a graph is at most 4, then the graph is planar.
4. If a graph with 11 vertices has chromatic number 5, then it has a proper vertex coloring using 4
5. If the vertices of a graph can be properly colored with 5 colors, then the chromatic number is at
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