<?xml version="1.0" encoding="UTF-8"?>
<article article-type="A">
  <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-1220</article-id>
      <title-group>
        <article-title>On the degree sum energy of total transformation graphs of regular graphs</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Revankar</surname>
            <given-names>D. S.</given-names>
          </name>
          <aff>Department of Mathematics, Belagavi 590008, Karnataka, KLE Dr. M. S. Sheshgiri College of Engineering &amp; Technology, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Veeragoudar</surname>
            <given-names>Jaishri B.</given-names>
          </name>
          <aff>Department of Mathematics, Belagavi 590008, Karnataka, KLE Dr. M. S. Sheshgiri College of Engineering &amp; Technology, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Patil</surname>
            <given-names>M. M.</given-names>
          </name>
          <aff>Department of Mathematics, Belagavi 590008, Karnataka, KLE Dr. M. S. Sheshgiri College of Engineering &amp; Technology, India</aff>
          <aff>Department of Mathematics, Belagavi 590008, Karnataka, KLS Gogte Institute of Technology, India</aff>
        </contrib>
      </contrib-group>
      <volume>44</volume>
      <issue>2</issue>
      <fpage>217</fpage>
      <lpage>229</lpage>
      <pub-date date-type="pub">
        <day>01</day>
        <month>03</month>
        <year>2023</year>
      </pub-date>
      <abstract>
        <p>The energy E(G) of a graph G is the sum of absolute values of the eigenvalues of the adjacency matrix of G. This definition of energy was motivated by the large number of results for the Huckel molecular orbital total π-electron energy. Motivated by E(G), The degree sum energy EDS(G) of a simple connected graph G is defined by sum of the absolute values of all eigenvalues of degree sum matrix. In this paper, we obtain spectra and degree sum energy of the total transformation graph Gxyz of a r-regular graph.</p>
      </abstract>
      <kwd-group>
        <kwd>Eigen values</kwd>
        <kwd>Degree sum energy</kwd>
        <kwd>Total transformation graphs</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>
