Determinants Associated to Zeta Matrices of Posets
Cristina M. Ballantine, Sharon M. Frechette, John B. Little
Abstract
We consider the matrix ZP=ZP+ZPt, where the entries of ZP are the values of the zeta function of the finite poset P. We give a combinatorial interpretation of the determinant of ZP and establish a recursive formula for this determinant in the case in which P is a boolean algebra.
Create a lesson
Related papers
Combinatorics of hyperplane arrangements and Witten zeta function at the origin
Kam Cheong Au, Kazuhiro Onodera
Proof of the Pach-Tardos conjecture
Lior Gishboliner, Xiangyu Li
Longest cycles intersect linearly in highly connected graphs
Jie Ma, Bo Ning, Ziyuan Zhao
Cutting a convex body into fat parts and approximating Euclidean distance by graph distances
János Pach, Gábor Tardos
A counterexample to the quantum Hedetniemi conjecture
Julius A. Zeiss
Schrijver-Delsarte rigidity in association schemes and undecidability of quantum graph homomorphism
Lorenzo Ciardo, Iris Hebbeker, Gideo Joubert et al.