DOAJ Open Access 2014

Factorization of the Characteristic Polynomial

Joshua Hallam Bruce Sagan

Lihat Sumber DOI

Abstrak

We introduce a new method for showing that the roots of the characteristic polynomial of a finite lattice are all nonnegative integers. Our method gives two simple conditions under which the characteristic polynomial factors. We will see that Stanley's Supersolvability Theorem is a corollary of this result. We can also use this method to demonstrate a new result in graph theory and give new proofs of some classic results concerning the Möbius function.

Topik & Kata Kunci

Mathematics

Penulis (2)

Joshua Hallam

Bruce Sagan

Format Sitasi

APA MLA BibTeX

Hallam, J., Sagan, B. (2014). Factorization of the Characteristic Polynomial. https://doi.org/10.46298/dmtcs.2386

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2386

Informasi Jurnal

Tahun Terbit: 2014
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2386
Akses: Open Access ✓