The characteristic polynomial of the Foster graph is equal to .

The close relations between these conditions and coefficients of the characteristic polynomial can be simply determined.

The characteristic polynomial of this endomorphism has the following form:

Its characteristic polynomial is which has one real root .

The characteristic polynomial of A is indeed x + 2.

The characteristic polynomial is defined by the determinant of the matrix with a shift.

Another one is a simple relation between the characteristic polynomials of a graph and its line graph.

The characteristic polynomial of the 5-regular Clebsch graph is .

The characteristic polynomial of a linear operator is an example of this.

An alternative strategy is to use the characteristic polynomial of matrix A.