If a graph G is k-colorable and k<n, for any integer n then it is ___________ ans. n2 nodes (k3+n3+1) nodes n-colorable (k+n)-colorable
Question
If a graph G is k-colorable and k<n, for any integer n then it is ___________
ans.
- n2 nodes
- (k3+n3+1) nodes
- n-colorable
- (k+n)-colorable
Solution
The text seems to be a part of a multiple-choice question related to graph theory in mathematics, but the question itself is not provided. However, I can explain the terms used:
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A graph G is k-colorable: This means that you can color the vertices of the graph with k different colors in such a way that no two adjacent vertices share the same color.
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k<n: This means that the number of colors used to color the graph is less than some integer n.
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n-colorable: This means that you can color the vertices of the graph with n different colors in such a way that no two adjacent vertices share the same color.
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(k+n)-colorable: This means that you can color the vertices of the graph with (k+n) different colors in such a way that no two adjacent vertices share the same color.
Without the actual question, it's hard to provide a specific answer. However, if a graph G is k-colorable and k<n, it doesn't necessarily mean it's n-colorable or (k+n)-colorable. It simply means that the graph can be colored with k colors. It could possibly be colored with more colors, but that would depend on the specific graph.
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