<?xml version="1.0" encoding="UTF-8"?>
<article article-type="Research Article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher">journal-of-interdisciplinary-mathematics</journal-id>
      <journal-title-group>
        <journal-title>Journal of Interdisciplinary Mathematics</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2169-012X</issn>
      <issn publication-format="print">0972-0502</issn>
      <publisher>
        <publisher-name>Taru Publications</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.47974/JIM-1732</article-id>
      <title-group>
        <article-title>Block inversion on finite rich ℘ words</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Arulprakasam</surname>
            <given-names>R.</given-names>
          </name>
          <aff>Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, Tamil Nadu, 603203, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Kumari</surname>
            <given-names>R. Krishna</given-names>
          </name>
          <aff>Career Development Centre, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, Tamil Nadu, 603203, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Janaki</surname>
            <given-names>K.</given-names>
          </name>
          <aff>Department of Mathematics, Saveetha Nagar, Thandalam, Saveetha Engineering College, Chennai, Tamil Nadu, 602105, India</aff>
        </contrib>
      </contrib-group>
      <volume>27</volume>
      <issue>1</issue>
      <fpage>109</fpage>
      <lpage>120</lpage>
      <pub-date date-type="pub">
        <day>27</day>
        <month>02</month>
        <year>2024</year>
      </pub-date>
      <abstract>
        <p>A unified study of inversions on ℘ words resulted from the importance of words and inversions in molecular biology. In this study, we generalize the idea of inversion by using a technique called block inversion on finite rich ℘ words. A comparison of block inversion on finite total words and on finite ℘ words is made. We conclude that the total number of ℘ words in the block inversion set of a finite rich ℘ word of length n is strictly less than 2n–1.</p>
      </abstract>
      <kwd-group>
        <kwd>Conjugates</kwd>
        <kwd>℘ words</kwd>
        <kwd>Palindromes</kwd>
        <kwd>Primitivity</kwd>
      </kwd-group>
      <custom-meta-group>
        <custom-meta>
          <meta-name>access</meta-name>
          <meta-value>open</meta-value>
        </custom-meta>
        <custom-meta>
          <meta-name>retracted</meta-name>
          <meta-value>no</meta-value>
        </custom-meta>
      </custom-meta-group>
    </article-meta>
  </front>
</article>
