<?xml version="1.0" encoding="UTF-8"?>
<article article-type="Research Article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher">journal-of-information-and-optimization-sciences</journal-id>
      <journal-title-group>
        <journal-title>Journal of Information and Optimization Sciences</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2169-0103</issn>
      <issn publication-format="print">0252-2667</issn>
      <publisher>
        <publisher-name>Taru Publications</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.47974/JIOS-1845</article-id>
      <title-group>
        <article-title>Some new results on total irregularity of graphs</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Ghanbari</surname>
            <given-names>Nima</given-names>
          </name>
          <aff>Department of Mathematical Sciences, Yazd University, Yazd, 89195-741, Iran</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Dehghanizadeh</surname>
            <given-names>Mohammad Ali</given-names>
          </name>
          <aff>Department of Mathematics, National University of Skills (NUS), Tehran, Iran</aff>
        </contrib>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Alikhani</surname>
            <given-names>Saeid</given-names>
          </name>
          <aff>Department of Mathematical Sciences, Yazd University, Yazd, 89195-741, Iran</aff>
        </contrib>
      </contrib-group>
      <volume>47</volume>
      <issue>3</issue>
      <fpage>1051</fpage>
      <lpage>1062</lpage>
      <pub-date date-type="pub">
        <day>10</day>
        <month>09</month>
        <year>2025</year>
      </pub-date>
      <abstract>
        <p>The overall variation in vertex connections within a graph, known as the total irregularity, is quantified by summing half the absolute differences between the degrees of every vertex pair. This study investigates how this measure of irregularity behaves when a graph undergoes two specific transformations: the creation of a k-subdivision and the Kr-gluing of two graphs. </p>
      </abstract>
      <kwd-group>
        <kwd>Irregularity</kwd>
        <kwd>Total irregularity</kwd>
        <kwd>k-subdivision</kwd>
        <kwd>Gluing</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>
