Sign pattern matrices associated with cycle graphs that require algebraic positivity
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.
Fields of Study & Subjects
graph theory and CDMA systems
Graph Labeling and Dimension Problems
Advanced Graph Theory Research
Publication details
- Journal / source
- Linear and Multilinear Algebra
- Publisher
- Informa UK Limited
- Volume
- 74
- Issue
- 12
- Pages
- 1611–1628
- Publication date
- 5 August 2026
- Language
- EN