A tree with two or more vertices isSelect one:a. 3 chromaticb. none of the mentionedc. 1 chromaticd. 2 chromatc
Question
A tree with two or more vertices isSelect one:a. 3 chromaticb. none of the mentionedc. 1 chromaticd. 2 chromatc
Solution
To determine the chromatic number of a tree with two or more vertices, we can follow these steps:
- Start by assigning a color to the first vertex of the tree.
- Move to the next vertex and check its adjacent vertices.
- Assign a color to the current vertex that is different from the colors assigned to its adjacent vertices.
- Repeat step 3 for all remaining vertices of the tree.
- The chromatic number of the tree is the minimum number of colors needed to color all the vertices without any adjacent vertices having the same color.
Based on these steps, we can conclude that the correct answer is:
d. 2 chromatic
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