<?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>December 2008 </publicationDate>
    <volume>20</volume>
    <issue>3</issue>
    <startPage>613</startPage>
    <endPage>618</endPage>
    <doi>jusps-B</doi>
    <publisherRecordId>1385</publisherRecordId>
    <documentType>article</documentType>
    <title language="eng">mK2,3 is vertex prime</title>
    <authors>
      <author>
        <name>Selvam Avadayappan  (selvam_avadayappan@yahoo.co.in)</name>
        <affiliationId>1</affiliationId>
      </author>
      <author>
        <name> R. Sinthu (sinthu_maths@yahoo.co.in)</name>
        <affiliationId>1</affiliationId>
      </author>
    </authors>
    <affiliationsList>
      <affiliationName affiliationId="1">Department of Mathematics, V.H.N.S.N., College, Virudhunagar - 626 001 (INDIA)</affiliationName>
    </affiliationsList>
    <abstract language="eng">&lt;p style="text-align: justify;"&gt;A graph G(V, E) is said to have a vertex prime labeling if its edges can be labeled with distinct integers from {1,2,3,..., |E|} such that for each vertex of degree at least 2, the greatest common divisor of the labels on its incident edges is 1. A graph that admits a vertex prime labeling is called a vertex prime graph. In this paper, we prove that mK&lt;sub&gt;2,3&lt;/sub&gt; is a vertex prime graph, where m is any positive integer.&lt;br /&gt;&#xD;
&lt;br /&gt;&#xD;
&amp;nbsp;&lt;/p&gt;&#xD;
</abstract>
    <fullTextUrl format="html">https://ultraphysicalsciences.org/paper/1385/</fullTextUrl>
    <keywords>
      <keyword language="eng"> labeling of graphs</keyword>
    </keywords>
    <keywords>
      <keyword language="eng">vertex prime</keyword>
    </keywords>
    <keywords>
      <keyword language="eng"> labeling of graphs</keyword>
    </keywords>
  </record>
</records>
