<?xml version="1.0"?>
<records>
  <record>
    <language>eng</language>
    <publisher>Ansari Education and Research Society</publisher>
    <journalTitle>Journal of Ultra Scientist of Physical Sciences</journalTitle>
    <issn/>
    <eissn/>
    <publicationDate>April 2010</publicationDate>
    <volume>22</volume>
    <issue>1</issue>
    <startPage>115</startPage>
    <endPage>122</endPage>
    <doi>jusps-A</doi>
    <publisherRecordId>1034</publisherRecordId>
    <documentType>article</documentType>
    <title language="eng">Some applications of graceful labelling </title>
    <authors>
      <author>
        <name>R. Vikrama Prasad (vikramprasad20@gmail.com</name>
        <affiliationId>1</affiliationId>
      </author>
      <author>
        <name>R. Sattanathan</name>
        <affiliationId>2</affiliationId>
      </author>
    </authors>
    <affiliationsList>
      <affiliationName affiliationId="1">Research Scholar, Vinayaka Mission Universtiy &amp; Lecturer, Sona College of technology, Salem - 630 005 (Tamilnadu) INDIA</affiliationName>
      <affiliationName affiliationId="2">Reader and Head, P.G. Research Dept. of Mathematics, D.G. Vaishnav College, Ambakkam, Chennai 600 106 (Tamilnadu) INDIA</affiliationName>
    </affiliationsList>
    <abstract language="eng">&lt;p style="text-align: justify;"&gt;A simple graph &lt;em&gt;G &lt;/em&gt;is a graceful graph if there exists a graceful labeling of the vertices of &lt;em&gt;G.&lt;/em&gt; A graph G&lt;em&gt; with&lt;/em&gt; e&lt;em&gt; edges&lt;/em&gt; has a graceful labeling if there exists an injective function &lt;em&gt;l &lt;/em&gt;: &lt;em&gt;V &lt;/em&gt;(&lt;em&gt;G&lt;/em&gt;) &amp;reg;&lt;em&gt; {0, 1, &amp;hellip;, e} such&lt;/em&gt; that |&lt;em&gt;l &lt;/em&gt;(&lt;em&gt;x&lt;/em&gt;) &lt;em&gt;- l &lt;/em&gt;(&lt;em&gt;y&lt;/em&gt;)|&lt;em&gt; &lt;/em&gt;is distinct and nonzero for all &lt;em&gt;xy &lt;/em&gt;&amp;Icirc;&lt;em&gt; E&lt;/em&gt; (&lt;em&gt;G&lt;/em&gt;).&lt;em&gt; &lt;/em&gt;If we cannot gracefully label the vertices of G, then G is a non-graceful graph. Graceful labeling is one of the best known labeling methods of graphs. In this work, We will try to give some of the Applications of graceful labeling in balanced graphs.&lt;br /&gt;&#xD;
&amp;nbsp;&lt;/p&gt;&#xD;
</abstract>
    <fullTextUrl format="html">https://www.ultrascientist.org/paper/1034/</fullTextUrl>
    <keywords>
      <keyword language="eng">graceful labeling</keyword>
    </keywords>
    <keywords>
      <keyword language="eng">graceful graph</keyword>
    </keywords>
    <keywords>
      <keyword language="eng">balanced graph. </keyword>
    </keywords>
  </record>
</records>
