The second path matrix S(G) collects all the second paths in the graph G. Its characteristic polynomial shows some regularity in several particular graphs, such as paths, cycles, stars and complete ...

We present a conjectural formula for the principal minors and the characteristic polynomial of Gross’s regulator matrix associated to a totally odd character of a totally real field. The formula is ...

In this paper, the notion of equitable partitions (EP) is used to study the eigenvalues of Euclidean distance matrices (EDMs). In particular, EP is used to obtain the characteristic polynomials of ...

ABSTRACT: Let A be the linear transformation on the linear space V in the field P, V λ i be the root subspace corresponding to the characteristic polynomial of the eigenvalue λ i , and W λ i be the ...

Characteristic Polynomial,Characteristic Polynomial Of Matrix,Coding Theory,Computational Cost,Degree Of Extension,Examples Of Solutions,Finite Field,Linear Differential Equations,Linear ...

Abstract: This study presents a relaxation method for second-order matrix-valued multivariate polynomial inequalities(SMMPI), with a specific application to the ...