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topologicalindices.html
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</div><div id="wm-ipp-print">The Wayback Machine - https://web.archive.org/web/20210425060618/http://www.graphtheorysoftware.com/topologicalindices</div>
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<!-- END WAYBACK TOOLBAR INSERT --><div id="main"><div class="vid-overlay"><div class="wrapper"><div class="content-with-icon cwi-responsive"><div class="cwi-icon"><div class="logo"><img alt="Icon" src="topologicalindices_files/icon-c4089700a556b76312bd1b22df427bab.png"></div></div><div class="cwi-content" style="padding-top: 30px"><h1 class="no-margin"><a class="black" href="https://web.archive.org/web/20210425060618/http://www.graphtheorysoftware.com/"> GraphTea</a></h1><p><b>Your buddy to teach, learn and research on graph theory.</b></p><strong><a href="https://web.archive.org/web/20210425060618/http://www.graphtheorysoftware.com/about">Features </a> <a href="download">Download</a> <a href="tutorial">Tutorials</a> <a href="topologicalindices">Topological-Indices</a> <a href="publications">Publications </a><a href="support">Support</a></strong></div></div></div></div><div class="wrapper"><div><div><h3>Topological Indices</h3>
<p>The <a href="https://web.archive.org/web/20210425060618/https://en.wikipedia.org/wiki/Topological_index">topological indices</a> which are implemented in GraphTea as reports, are as follows,</p>
<p> </p>
<ul class="itemize">
<li class="li-itemize">First Zagreb Index: see [<a href="#zagrebindex">1</a>]</li>
<li class="li-itemize">Second Zagreb Index: see [<a href="#zagrebindex">1</a>]</li>
<li class="li-itemize">AutographiX Conjecture: See [<a href="#conjecture">2</a>]</li>
<li class="li-itemize">First Variable Zagreb Index: see [<a href="#variable">3</a>]</li>
<li class="li-itemize">First General Zagreb Index: see [<a href="#firstgeneralzagreb">4</a>]</li>
<li class="li-itemize">Second General Zagreb Index: see [<a href="#secondgeneralzagreb">5</a>]</li>
<li class="li-itemize">First Zagreb CoIndex: see [<a href="#zagrebcoindex1">6</a>, <a href="#zagrebcoindex1">7</a>]</li>
<li class="li-itemize">Second Zagreb CoIndex: see [<a href="#zagrebcoindex1">6</a>, <a href="#zagrebcoindex1">7</a>]</li>
<li class="li-itemize">First Reformulated Zagreb Index: see [<a href="#reformulated">8</a>]</li>
<li class="li-itemize">Second Reformulated Zagreb Index: see [<a href="#reformulated">8</a>]</li>
</ul>
<!--TOC section id="sec1" References-->
<h2 class="section" id="sec1">References</h2>
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<dl>
<dt><a id="zagrebindex">[1]</a> I. Gutman and N. Trinajstić, Graph
theory and molecular orbitals, Total π - electron energy of alternant
hydrocarbons, Chem. Phys. Lett. 17 (1972) 535–538.</dt>
<dt><a id="conjecture">[2]</a> G. Caporossi, P. Hansen, Variable
neighbourhood search for extremal graphs: 1. The AutographiX system,
Discrete Math. 212 (2000) 29–44.</dt>
<dt><a id="variable">[3]</a> A. Miličević and S. Nikolić, On Variable Zagreb Indices, Croat. Chem. Acta., 77 (2004) 97-101.</dt>
<dt><a id="firstgeneralzagreb">[4]</a> X. Li and J. Zheng, A unified
approach to the extremal trees for different indices, MATCH Commun.
Math. Comput. Chem. 54 (2005), 195–208.</dt>
<dt><a id="secondgeneralzagreb">[5]</a> G. Britto Antony Xavier, E.
Suresh and I. Gutman, Counting relations for general Zagreb indices,
Kragujevac Journal of Mathematics., 38 (2014) 95–103.</dt>
<dt><a id="zagrebcoindex1">[6]</a> T. Došlić, Vertex-Weighted Wiener Polynomials for Composite Graphs, Ars Math. Contemp. 1 (2008) 66–80.</dt>
<dt><a id="zagrebcoindex2">[7]</a> A.R.Ashrafi, T.Došlić and A.Hamzeha, The Zagreb coindices of graph operations, Discrete Appl. Math., 158 (2010) 1571–1578.</dt>
<dt><a id="reformulated">[8]</a> A. Miličević, S. Nikolić and N. Trinajstić, On reformulated Zagreb indices. Mol. Divers. 8 (2004) 393–399.</dt>
</dl>
<!--CUT END -->
<p>A table can be generated that computes these indices for different <em>alpha</em>.</p>
<p> </p>
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