| HAL-Inria | Publications, software ... of Inria's scientists |
Conference papers
Factorization of the Characteristic Polynomial
Abstract : 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.
Cited literature [9 references]
https://hal.inria.fr/hal-01207579
Contributor : Coordination Episciences Iam Connect in order to contact the contributor
Submitted on : Thursday, October 1, 2015 - 9:28:46 AM
Last modification on : Wednesday, August 7, 2019 - 2:34:15 PM
Long-term archiving on: : Saturday, January 2, 2016 - 10:50:39 AM
Contributor : Coordination Episciences Iam Connect in order to contact the contributor
Submitted on : Thursday, October 1, 2015 - 9:28:46 AM
Last modification on : Wednesday, August 7, 2019 - 2:34:15 PM
Long-term archiving on: : Saturday, January 2, 2016 - 10:50:39 AM
File
dmAT0112.pdf
Publisher files allowed on an open archive