Sign pattern matrices associated with cycle graphs that require algebraic positivity
Combinatorics
2025-12-16 v4
Abstract
A real matrix is said to be positive if its every entry is positive, and a real square matrix A is algebraically positive if there exists a real polynomial f such that f(A) is a positive matrix. A sign pattern matrix A is said to require a property if all matrices having sign pattern as A have that property. In this paper, we characterize all sign pattern matrices associated with cycle graphs that require algebraic positivity.
Keywords
Cite
@article{arxiv.2412.06379,
title = {Sign pattern matrices associated with cycle graphs that require algebraic positivity},
author = {Sunil Das},
journal= {arXiv preprint arXiv:2412.06379},
year = {2025}
}
Comments
14 pages