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___Chordal__Net__Node.html
<!DOCTYPE html> <html lang="en"> <head> <title>ChordalNetNode -- a node of a chordal network</title> <meta content="text/html; charset=utf-8" http-equiv="Content-Type"> <link type="text/css" rel="stylesheet" href="../../../../Macaulay2/Style/doc.css"> <link rel="stylesheet" href="../../../../Macaulay2/Style/katex/katex.min.css"> <script defer="defer" src="../../../../Macaulay2/Style/katex/katex.min.js"></script> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/auto-render.min.js"></script> <script> var macros = { "\\break": "\\\\", "\\ZZ": "\\mathbb{Z}", "\\NN": "\\mathbb{N}", "\\QQ": "\\mathbb{Q}", "\\RR": "\\mathbb{R}", "\\CC": "\\mathbb{C}", "\\PP": "\\mathbb{P}" }, delimiters = [ { left: "$$", right: "$$", display: true}, { left: "\\[", right: "\\]", display: true}, { left: "$", right: "$", display: false}, { left: "\\(", right: "\\)", display: false} ], ignoredTags = [ "kbd", "var", "samp", "script", "noscript", "style", "textarea", "pre", "code", "option" ]; document.addEventListener("DOMContentLoaded", function() { renderMathInElement(document.body, { delimiters: delimiters, macros: macros, ignoredTags: ignoredTags, trust: true }); }); </script> <style>.katex { font-size: 1em; }</style> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/copy-tex.min.js"></script> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/render-a11y-string.min.js"></script> <script src="../../../../Macaulay2/Style/prism.js"></script> <script>var current_version = '1.25.06';</script> <script src="../../../../Macaulay2/Style/version-select.js"></script> <link type="image/x-icon" rel="icon" href="../../../../Macaulay2/Style/icon.gif"> </head> <body> <div id="buttons"> <div> <a href="https://macaulay2.com/">Macaulay2</a> <span id="version-select-container"></span> » <a title="Macaulay2 documentation" href="../../Macaulay2Doc/html/index.html">Documentation </a> <br><a href="../../Macaulay2Doc/html/_packages_spprovided_spwith_sp__Macaulay2.html">Packages</a> » <span><a title="exploiting chordal structure in polynomial ideals" href="index.html">Chordal</a> :: <a title="a node of a chordal network" href="___Chordal__Net__Node.html">ChordalNetNode</a></span> </div> <div class="right"> <form method="get" action="https://www.google.com/search"> <input placeholder="Search" type="text" name="q" value=""> <input type="hidden" name="q" value="site:macaulay2.com/doc"> </form> <a href="___Chordal__Net__Rank.html">next</a> | <a href="___Chordal__Net__Chain.html">previous</a> | <a href="___Chordal__Net__Rank.html">forward</a> | <a href="___Chordal__Net__Chain.html">backward</a> | up | <a href="master.html">index</a> | <a href="toc.html">toc</a> </div> </div> <hr> <div> <h1>ChordalNetNode -- a node of a chordal network</h1> <div> <h2>Description</h2> This type represents a node of a chordal network.<br><br>Each node of the network has the following properties: <ul> <li><em>equations:</em> a set of polynomials F</li> <li><em>inequations:</em> a set of polynomials H</li> <li><em>rank:</em> a variable of the polynomial ring</li> <li><em>label:</em> a string that uniquely identifies the node (only needed for visualization)</li> </ul> These properties can be accessed with the functions: <a title="a node of a chordal network" href="___Chordal__Net__Node.html">gens</a>, <a title="a node of a chordal network" href="___Chordal__Net__Node.html">ineqs</a>, <a title="a node of a chordal network" href="___Chordal__Net__Node.html">rank</a>, <a title="a node of a chordal network" href="___Chordal__Net__Node.html">label</a><br><br>The incoming/outgoing arcs of a node can be obtained as <ul> <li><a title="a node of a chordal network" href="___Chordal__Net__Node.html">parents</a> -- get the outgoing arcs</li> <li><a title="a node of a chordal network" href="___Chordal__Net__Node.html">children</a> -- get the incoming arcs</li> </ul> </div> <div> <h2>See also</h2> <ul> <li><span><a title="list of nodes of a chordal network" href="_nodes.html">nodes</a> -- list of nodes of a chordal network</span></li> <li><span><a title="a chordal network" href="___Chordal__Net.html">ChordalNet</a> -- a chordal network</span></li> </ul> </div> <div> <div class="waystouse"> <h2>Methods that use an object of class ChordalNetNode:</h2> <ul> <li><kbd>children(ChordalNetNode)</kbd></li> <li><kbd>generators(ChordalNetNode)</kbd></li> <li><kbd>ineqs(ChordalNetNode)</kbd></li> <li><kbd>label(ChordalNetNode)</kbd></li> <li><kbd>net(ChordalNetNode)</kbd></li> <li><kbd>parents(ChordalNetNode)</kbd></li> <li><kbd>rank(ChordalNetNode)</kbd></li> </ul> </div> <div class="waystouse"> <h2>For the programmer</h2> <p>The object <a title="a node of a chordal network" href="___Chordal__Net__Node.html">ChordalNetNode</a> is <span>a <a title="the class of all mutable types" href="../../Macaulay2Doc/html/___Type.html">type</a></span>, with ancestor classes <a title="the class of all mutable hash tables" href="../../Macaulay2Doc/html/___Mutable__Hash__Table.html">MutableHashTable</a> < <a title="the class of all hash tables" href="../../Macaulay2Doc/html/___Hash__Table.html">HashTable</a> < <a title="the class of all things" href="../../Macaulay2Doc/html/___Thing.html">Thing</a>.</p> </div> <hr> <div class="waystouse"> <p>The source of this document is in <span class="tt">Chordal/ChordalDoc.m2:343:0</span>.</p> </div> </div> </div> </body> </html>
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