<?xml version="1.0" encoding="UTF-8"?>
<article article-type="Research Article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher">journal-of-discrete-mathematical-sciences-and-cryptography</journal-id>
      <journal-title-group>
        <journal-title>Journal of Discrete Mathematical Sciences and Cryptography</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2169-0065</issn>
      <issn publication-format="print">0972-0529</issn>
      <publisher>
        <publisher-name>Taru Publications</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.47974/JDMSC-1623</article-id>
      <title-group>
        <article-title>Sombor polynomial (function) of a graph</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Ghanbari</surname>
            <given-names>Nima</given-names>
          </name>
          <aff>Department of Informatics, University of Bergen, Bergen, P. O. Box 7803, 5020, Norway</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>27</volume>
      <issue>3</issue>
      <fpage>983</fpage>
      <lpage>998</lpage>
      <pub-date date-type="pub">
        <day>01</day>
        <month>05</month>
        <year>2024</year>
      </pub-date>
      <abstract>
        <p>Let G = (V, E)  be a finite simple graph. The Sombor index SO(G) of G is defined as ΣuvϵE(G) √d2u+d2v, where du is the degree of vertex u in G. We consider the Sombor polynomial (function) as  S(G, x) = ΣuvϵE(G) x√d2u+d2v and study it for specific graphs. Also we investigate the location of the roots of this polynomial.</p>
      </abstract>
      <kwd-group>
        <kwd>Sombor index</kwd>
        <kwd>Sombor polynomial</kwd>
        <kwd>Root</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>
