Partha Rana

collaborators

4 papers

math.CO2026

Some Symmetric Sign Patterns Requiring Full $P$ -vertices

Partha Rana

A sign pattern is a matrix whose entries belong to ${+, -, 0}$ . Let $P$ be a symmetric sign pattern and $A$ a real symmetric matrix in its qualitative class. A vertex $…

math.CO2025

Construction of sign k-potent sign patterns and conditions for such sign patterns to allow k-potence

Partha Rana, Sriparna Bandopadhyay

A sign pattern is a matrix whose entries are from the set ${+, -, 0}$ . A square sign pattern $A$ is called sign $k$ -potent if $k$ is the smallest positive integer for which $A^{k+…

math.CO2025

On the Consistency of Combinatorially Symmetric Sign Patterns and the Class of 2-Consistent Sign Patterns

Partha Rana, Sriparna Bandopadhyay

A sign pattern is a matrix that has entries from the set ${+, -, 0}$ . An $n \times n$ sign pattern $P$ is called consistent if every real matrix in its qualitative class h…

math.CO2025

Irreducible Combinatorially Symmetric Sign Patterns Requiring a Unique Inertia

Partha Rana, Sriparna Bandopadhyay

A sign pattern is a matrix whose entries belong to the set ${+, -, 0}$ . A sign pattern requires a unique inertia if every real matrix in its qualitative class has the same inertia.…

Some Symmetric Sign Patterns Requiring Full P-vertices

Construction of sign k-potent sign patterns and conditions for such sign patterns to allow k-potence

On the Consistency of Combinatorially Symmetric Sign Patterns and the Class of 2-Consistent Sign Patterns

Irreducible Combinatorially Symmetric Sign Patterns Requiring a Unique Inertia

Some Symmetric Sign Patterns Requiring Full $P$ -vertices