Splitting of the characteristic polynomial (CP) using a computational technique to obtain the factors of the mirror plane and two‐, three‐, and n‐fold symmetric graph

All possible quadratic factors from the characteristic polynomial are generated. Selective extraction of the factors are smoothly achieved. Factors of the mirror plane and two‐, three‐, and n‐fold rotationally symmetric graphs are obtained without using any rule for the fragmentation pattern. The relationship among the irreducible representations of the two‐, three‐, and n‐fold operators are established through our computer program. © 1995 John Wiley & Sons, Inc.