Monimala Nej

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20182024

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math.CO2019

A Note on the Exponents of Primitive Companion Matrices

Monimala Nej, A. Satyanarayana Reddy

A nonnegative matrix $A$ is said to be {\it primitive} if for some positive integer $m$ , entries in $A^{m}$ are positive, notationally represented as $A^{m} > 0.$ The smallest such $m$ i…

math.CO2018

Exponents of primitive symmetric companion matrices

Monimala Nej, A. Satyanarayana Reddy

A {\it symmetric companion matrix} is a matrix of the form $A + A^{T}$ where $A$ is a companion matrix all of whose entries are in ${0, 1}$ and $A^{T}$ is the transpose of $A .$ In this…