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The chromatic number of star graph with 3 vertices is greater than that of a complete graph with 3 vertices.(a) True(b) FalseThe question was posed to me in an interview.This key question is from Graph Coloring topic in division Graph Coloring of Data Structures & Algorithms II

Answer»

Correct answer is (b) False

Easy explanation - The CHROMATIC NUMBER of a star GRAPH is always 2 (for more than 1 vertex) WHEREAS the chromatic number of complete graph with 3 vertices will be 3. So chromatic number of complete graph will be GREATER.



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