<?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-2640</article-id>
      <title-group>
        <article-title>Different classes of graceful coronas and their second kind</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Pattanaik</surname>
            <given-names>Bijayani</given-names>
          </name>
          <aff>Department of Mathematics, Siksha ‘O’ Anusandhan (Deemed to be University), Bhubaneswar, Odisha, 751030, India</aff>
        </contrib>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Behera</surname>
            <given-names>Amiya Kumar</given-names>
          </name>
          <aff>Department of Mathematics, Siksha ‘O’ Anusandhan (Deemed to be University), Bhubaneswar, Odisha, 751030, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Bohidar</surname>
            <given-names>Chapala</given-names>
          </name>
          <aff>Department of Mathematics, Siksha ‘O’ Anusandhan (Deemed to be University), Bhubaneswar, Odisha, 751030, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Biswal</surname>
            <given-names>Biswadarsi</given-names>
          </name>
          <aff>Department of Computer Science &amp; Engineering, GIFT Autonomous Bhubaneswar, Bhubaneswar, Odisha, 752054, India</aff>
        </contrib>
      </contrib-group>
      <volume>29</volume>
      <issue>8</issue>
      <fpage>3037</fpage>
      <lpage>3049</lpage>
      <pub-date date-type="pub">
        <day>14</day>
        <month>08</month>
        <year>2026</year>
      </pub-date>
      <abstract>
        <p>A graph labeling assigns integer to the components of a graph (vertices, edges, or both), adhering to specific conditions. Let G be a graph with q edges. Then the graceful labeling is defined as a one-to-one mapping from the vertex set of G to {0, 1, ..., q} so that each edge label arises due to the absolute difference of vertex labels of its corresponding vertices, making all edge labels dissimilar. This paper demonstrates that a class of coronas is graceful and of the second kind under specific conditions. The corona graph considered here is a cycle graph with each or every other vertex attached to two pendant edges.</p>
      </abstract>
      <kwd-group>
        <kwd>Graceful labeling</kwd>
        <kwd>2nd kind graceful labeling</kwd>
        <kwd>Cycle</kwd>
        <kwd>Corona</kwd>
        <kwd>Pendant edge</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>
