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If the number of vertices of a chromatic polynomial PG is 56, what is the degree of PG?(a) 344(b) 73(c) 265(d) 56This question was posed to me by my school principal while I was bunking the class.This intriguing question comes from Planarity, Degree and Coloring of Graph in section Graphs of Discrete Mathematics

Answer»

The correct answer is (d) 56

The explanation is: The CHROMATIC POLYNOMIAL PG of a graph G is a polynomial in which every natural number k returns the number PG(k) of k-colorings of G. Since, the DEGREE of PG is EQUAL to the number of VERTICES of G, the required answer is 56.



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