Determining the Chromatic Polynomials

First Collection of Graphs

1.

G1 - Chromatic Polynomial: x(x-1)

2.

G2 - Chromatic Polynomial: x(x-1)^2

3.

G3 - Chromatic Polynomial: x(x-1)(x-2)

4.

G4 - Chromatic Polynomial: x(x-1)^3

5.

G5 - Chromatic Polynomial Conjecture: x(x-1)[(x-1)+(x-2)^2] (L.S.)

6.

K4 - Chromatic Polynomial: x(x-1)(x-2)(x-3)

7.

E4 - Chromatic Polynomial: x^4

8.

G6 - Variation suggested by R.F.

Chromatic Polynomial: x(x-1)(x-2)^2