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<?xml version="1.0" encoding="UTF-8"?>
<!--
MinimumEigenValue.xml
=========================================================================
This file is part of the GrInvIn project - http://www.grinvin.org
Copyright (C) 2005-2008 Universiteit Gent
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or (at
your option) any later version.
This program is distributed in the hope that it will be useful, but
WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
General Public License for more details.
A copy of the GNU General Public License can be found in the file
LICENSE.txt provided with the source distribution of this program (see
the META-INF directory in the source jar). This license can also be
found on the GNU website at http://www.gnu.org/licenses/gpl.html.
If you did not receive a copy of the GNU General Public License along
with this program, contact the lead developer, or write to the Free
Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
02110-1301, USA.
-->
<!DOCTYPE invariant
PUBLIC "-//GrInvIn//Invariant 1.0//EN" "../dtds/invariant.dtd"
>
<invariant>
<id>org.grinvin.invariants.MinimumEigenValue</id>
<type>real</type>
<resources>
<properties>
<entry key="name">Minimum eigenvalue</entry>
<help>
<p>This invariant returns the smallest eigenvalue of the adjacency matrix of the graph. This eigenvalue is calculated using
numerical methods and therefore isn't garanteed to be precise. In some cases this method might fail. When this happens
this invariant returns undefined.
</p>
<p>See also: <link value="org.grinvin.invariants.MaximumEigenValue">maximum eigenvalue</link>,
<link value="org.grinvin.invariants.NumberOfPositiveEigenValues">number of positive eigenvalues</link>
and <link value="org.grinvin.invariants.NumberOfZeroEigenValues">number of eigenvalues equal to zero</link>.</p>
</help>
</properties>
<node name="nl">
<properties>
<entry key="name">Kleinste eigenwaarde</entry>
<help>
<p>Deze invariant geeft de kleinste eigenwaarde van de adjacentiematrix van de graaf terug als resultaat. Deze
eigenwaarde wordt berekend aan de hand van numerieke methode en is daarom niet noodzakelijk exact. In sommige
gevallen kan deze methode ook falen. Als dit gebeurt, zal deze invariant de waarde ongedefinieerd teruggeven
als resultaat.</p>
<p>Zie ook: <link value="org.grinvin.invariants.MaximumEigenValue">grootste eigenwaarde</link>,
<link value="org.grinvin.invariants.NumberOfPositiveEigenValues">aantal eigenwaarden groter dan nul</link>
en <link value="org.grinvin.invariants.NumberOfZeroEigenValues">aantal eigenwaarden gelijk aan nul</link>.</p>
</help>
</properties>
</node>
</resources>
</invariant>
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