One Hat Cyber Team
Your IP :
216.73.216.14
Server IP :
194.44.31.54
Server :
Linux zen.imath.kiev.ua 4.18.0-553.77.1.el8_10.x86_64 #1 SMP Fri Oct 3 14:30:23 UTC 2025 x86_64
Server Software :
Apache/2.4.37 (Rocky Linux) OpenSSL/1.1.1k
PHP Version :
5.6.40
Buat File
|
Buat Folder
Eksekusi
Dir :
~
/
usr
/
share
/
doc
/
Macaulay2
/
Nauty
/
html
/
View File Name :
_graph__To__String.html
<!DOCTYPE html> <html lang="en"> <head> <title>graphToString -- converts a graph to a string in the Graph6 format</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="Interface to nauty" href="index.html">Nauty</a> :: <a title="converts a graph to a string in the Graph6 format" href="_graph__To__String.html">graphToString</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="_is__Planar.html">next</a> | <a href="_graph__Complement.html">previous</a> | <a href="_is__Planar.html">forward</a> | <a href="_graph__Complement.html">backward</a> | up | <a href="master.html">index</a> | <a href="toc.html">toc</a> </div> </div> <hr> <div> <h1>graphToString -- converts a graph to a string in the Graph6 format</h1> <ul> <li> <dl class="element"> <dt>Usage: </dt> <dd><code class="language-macaulay2">S = graphToString(E, n)</code></dd> <dd><code class="language-macaulay2">S = graphToString I</code></dd> <dd><code class="language-macaulay2">S = graphToString G</code></dd> <dd><code class="language-macaulay2">S = graphToString T</code></dd> </dl> </li> <li>Inputs: <ul> <li><span><span class="tt">E</span>, <span>a <a title="the class of all lists -- {...}" href="../../Macaulay2Doc/html/___List.html">list</a></span>, a list of edge pairs</span></li> <li><span><span class="tt">n</span>, <span>an <a title="the class of all integers" href="../../Macaulay2Doc/html/___Z__Z.html">integer</a></span>, the number of vertices in the graph, must be positive (see caveat)</span></li> <li><span><span class="tt">I</span>, <span>an <a title="the class of all ideals" href="../../Macaulay2Doc/html/___Ideal.html">ideal</a></span>, the edge ideal of a graph</span></li> <li><span><span class="tt">G</span>, <span>a <a title="a class for graphs" href="../../EdgeIdeals/html/___Graph.html">graph</a></span>, </span></li> <li><span><span class="tt">T</span>, <span>a <a title="the class of all strings" href="../../Macaulay2Doc/html/___String.html">string</a></span>, a string containing a graph; the string automatically passes through untouched</span></li> </ul> </li> <li>Outputs: <ul> <li><span><span class="tt">S</span>, <span>a <a title="the class of all strings" href="../../Macaulay2Doc/html/___String.html">string</a></span>, the graph converted to a Graph6 format string</span></li> </ul> </li> </ul> <div> <h2>Description</h2> <div> <p>This method converts various ways of representing a graph into nauty's Graph6 string format. Note that if the <a title="the class of all ideals" href="../../Macaulay2Doc/html/___Ideal.html">Ideal</a> (or <a title="the class of all monomial ideals handled by the engine" href="../../Macaulay2Doc/html/___Monomial__Ideal.html">MonomialIdeal</a>) passed to the method is not squarefree and monomial, then the method may have unknown and possibly undesired results.</p> <p>In this example, all graphs are the 5-cycle.</p> </div> <table class="examples"> <tr> <td> <pre><code class="language-macaulay2">i1 : graphToString({{0,1}, {1,2}, {2,3}, {3,4}, {0,4}}, 5) o1 = Dhc</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i2 : R = QQ[a..e];</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i3 : graphToString monomialIdeal (a*c, a*d, b*d, b*e, c*e) o3 = DUW</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i4 : graphToString cycle R o4 = Dhc</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i5 : graphToString "Dhc" o5 = Dhc</code></pre> </td> </tr> </table> <div> <p>We note that if the input is a string, then the output is simply that string returned, regardless of format or correctness.</p> </div> </div> <div> <h2>Caveat</h2> <div> <p>Notice that if using a <a title="the class of all lists -- {...}" href="../../Macaulay2Doc/html/___List.html">List</a> and number of vertices input to create the string, then the <a title="the class of all lists -- {...}" href="../../Macaulay2Doc/html/___List.html">List</a> must have vertices labeled $0$ to $n-1$.</p> <p>The number of vertices $n$ must be positive as nauty cannot handle graphs with zero vertices.</p> </div> </div> <div> <h2>See also</h2> <ul> <li><span><a href="___Comparison_spof_sp__Graph6_spand_sp__Sparse6_spformats.html">Comparison of Graph6 and Sparse6 formats</a></span></li> <li><span><a title="converts a Graph6 string to a Sparse6 string" href="_graph6__To__Sparse6.html">graph6ToSparse6</a> -- converts a Graph6 string to a Sparse6 string</span></li> <li><span><a title="converts a Sparse6 string to a Graph6 string" href="_sparse6__To__Graph6.html">sparse6ToGraph6</a> -- converts a Sparse6 string to a Graph6 string</span></li> <li><span><a title="converts a Sparse6 or Graph6 String to a Graph in the given polynomial ring" href="_string__To__Graph.html">stringToGraph</a> -- converts a Sparse6 or Graph6 String to a Graph in the given polynomial ring</span></li> </ul> </div> <div> <div class="waystouse"> <h2>Ways to use <span class="tt">graphToString</span>:</h2> <ul> <li><kbd>graphToString(Graph)</kbd></li> <li><kbd>graphToString(Ideal)</kbd></li> <li><kbd>graphToString(List,ZZ)</kbd></li> <li><kbd>graphToString(MonomialIdeal)</kbd></li> <li><kbd>graphToString(String)</kbd></li> </ul> </div> <div class="waystouse"> <h2>For the programmer</h2> <p>The object <a title="converts a graph to a string in the Graph6 format" href="_graph__To__String.html">graphToString</a> is <span>a <a title="a type of method function" href="../../Macaulay2Doc/html/___Method__Function.html">method function</a></span>.</p> </div> <hr> <div class="waystouse"> <p>The source of this document is in <span class="tt">Nauty.m2:1299:0</span>.</p> </div> </div> </div> </body> </html>