The invariance of the type of a $v$-palindrome

TL;DR

This paper proves that the type of a $v$-palindrome, a recently introduced concept, remains invariant regardless of the number $m$ used in its definition, highlighting a fundamental property of these structures.

Contribution

The paper establishes the invariance of the type of a $v$-palindrome with respect to different concatenation numbers $m$, advancing understanding of their structural properties.

Findings

Type of a $v$-palindrome is invariant over all $m$

Provides a foundational property of $v$-palindromes

Enhances theoretical understanding of $v$-palindromes

Abstract

The notion of a $v$-palindrome is recently introduced by the author. Later, the author defined the notion of the type of a $v$-palindrome $n$ with respect to a number $m$ which can be repeatedly concatenated to form $n$. We prove that this notion of type is invariant over all $m$.