Matroids : Index
- affineGeometry -- affine geometry of rank n+1 over F_p
- affineGeometry(ZZ,ZZ) -- affine geometry of rank n+1 over F_p
- allMatroids -- returns all n-element matroids
- allMatroids(ZZ) -- returns all n-element matroids
- areIsomorphic(Matroid,Matroid) -- whether two matroids are isomorphic
- bases -- bases of matroid
- bases(Matroid) -- bases of matroid
- basisIndicatorMatrix -- matrix of basis polytope
- basisIndicatorMatrix(Matroid) -- matrix of basis polytope
- characteristicPolynomial(Matroid) -- computes characteristic polynomial of a matroid
- chromaticPolynomial -- computes chromatic polynomial of a graph
- chromaticPolynomial(Graph) -- computes chromatic polynomial of a graph
- circuits -- circuits of matroid
- circuits(Matroid) -- circuits of matroid
- closure -- closure of a subset of a matroid
- closure(Matroid,List) -- closure of a subset of a matroid
- closure(Matroid,Set) -- closure of a subset of a matroid
- cogeneratorChowRing -- cogenerator of the Chow ring of a matroid
- cogeneratorChowRing(Matroid) -- cogenerator of the Chow ring of a matroid
- coloops -- coloops of matroid
- coloops(Matroid) -- coloops of matroid
- components(Matroid) -- connected components of matroid
- contraction -- contraction of subset of matroid
- contraction(Matroid,List) -- contraction of subset of matroid
- contraction(Matroid,Set) -- contraction of subset of matroid
- deletion -- deletion of subset of matroid
- deletion(Matroid,List) -- deletion of subset of matroid
- deletion(Matroid,Set) -- deletion of subset of matroid
- dual(Matroid) -- dual matroid
- flats -- flats of a matroid
- flats(Matroid) -- flats of a matroid
- flats(Matroid,ZZ) -- flats of a matroid
- fundamentalCircuit -- fundamental circuit of independent set
- fundamentalCircuit(Matroid,List,Thing) -- fundamental circuit of independent set
- fundamentalCircuit(Matroid,Set,ZZ) -- fundamental circuit of independent set
- fVector(Matroid) -- f-vector of a matroid
- getCycles -- find cycles of graph
- getCycles(Graph) -- find cycles of graph
- getIsos -- all isomorphisms between two matroids
- getIsos(Matroid,Matroid) -- all isomorphisms between two matroids
- groundSet -- (internal) ground set
- hasMinor -- whether a matroid has a given minor
- hasMinor(Matroid,Matroid) -- whether a matroid has a given minor
- hyperplanes -- hyperplanes of a matroid
- hyperplanes(Matroid) -- hyperplanes of a matroid
- ideal(Matroid) -- Stanley-Reisner (circuit) ideal of matroid
- idealChowRing -- the defining ideal of the Chow ring
- idealChowRing(Matroid) -- the defining ideal of the Chow ring
- independenceComplex(Matroid) -- independence complex of matroid
- independentSets(Matroid) -- independent subsets of a matroid
- independentSets(Matroid,ZZ) -- independent subsets of a matroid
- indicesOf -- indices of a sublist
- indicesOf(List,List) -- indices of a sublist
- indicesOf(Matroid,List) -- indices of a sublist
- isDependent -- whether a subset is dependent
- isDependent(Matroid,List) -- whether a subset is dependent
- isDependent(Matroid,Set) -- whether a subset is dependent
- isomorphism(Matroid,Matroid) -- computes an isomorphism between isomorphic matroids
- isSimple(Matroid) -- whether a matroid is simple
- isWellDefined(Matroid) -- whether the input is a well-defined matroid
- latticeOfFlats -- lattice of flats of a matroid
- latticeOfFlats(Matroid) -- lattice of flats of a matroid
- loops -- loops of matroid
- loops(Matroid) -- loops of matroid
- Matroid -- the class of all matroids
- matroid -- constructs a matroid
- Matroid + Matroid -- union of matroids
- Matroid ++ Matroid -- direct sum of matroids
- Matroid / List -- contraction of subset of matroid
- Matroid / Set -- contraction of subset of matroid
- Matroid == Matroid -- whether two matroids are equal
- Matroid \ List -- deletion of subset of matroid
- Matroid \ Set -- deletion of subset of matroid
- Matroid _ List -- elements of matroid
- Matroid _ Set -- elements of matroid
- Matroid _ ZZ -- elements of matroid
- Matroid _* -- elements of matroid
- Matroid | List -- restriction to subset of matroid
- Matroid | Set -- restriction to subset of matroid
- matroid(..., EntryMode => ...) -- select method of specifying matroid
- matroid(..., Loops => ...) -- constructs a matroid
- matroid(..., ParallelEdges => ...) -- constructs a matroid
- matroid(Graph) -- constructs a matroid
- matroid(Ideal) -- constructs a matroid
- matroid(List) -- constructs a matroid
- matroid(List,List) -- constructs a matroid
- matroid(List,MonomialIdeal) -- constructs a matroid
- matroid(Matrix) -- constructs a matroid
- Matroids -- a package for computations with matroids
- maxWeightBasis -- maximum weight basis using greedy algorithm
- maxWeightBasis(Matroid,List) -- maximum weight basis using greedy algorithm
- minor -- minor of matroid
- minor(Matroid,List,List) -- minor of matroid
- minor(Matroid,Set,Set) -- minor of matroid
- nonbases -- nonbases of matroid
- nonbases(Matroid) -- nonbases of matroid
- projectiveGeometry -- projective geometry of dimension n over F_p
- projectiveGeometry(ZZ,ZZ) -- projective geometry of dimension n over F_p
- quickIsomorphismTest -- quick checks for isomorphism between matroids
- quickIsomorphismTest(Matroid,Matroid) -- quick checks for isomorphism between matroids
- rank(Matroid) -- rank of a matroid
- rank(Matroid,List) -- rank of a subset of a matroid
- rank(Matroid,Set) -- rank of a subset of a matroid
- relaxation -- relaxation of matroid
- relaxation(Matroid,List) -- relaxation of matroid
- relaxation(Matroid,Set) -- relaxation of matroid
- representationOf -- represents a realizable/graphic matroid
- representationOf(Matroid) -- represents a realizable/graphic matroid
- restriction -- restriction to subset of matroid
- restriction(Matroid,List) -- restriction to subset of matroid
- restriction(Matroid,Set) -- restriction to subset of matroid
- simpleMatroid -- simple matroid associated to a matroid
- simpleMatroid(Matroid) -- simple matroid associated to a matroid
- specificMatroid -- creates built-in matroid
- specificMatroid(String) -- creates built-in matroid
- tutteEvaluate -- evaluate Tutte polynomial
- tutteEvaluate(Matroid,Thing,Thing) -- evaluate Tutte polynomial
- tuttePolynomial(Matroid) -- Tutte polynomial of a matroid
- tuttePolynomial(Matroid,Ring) -- Tutte polynomial of a matroid
- uniformMatroid -- uniform matroid
- uniformMatroid(ZZ,ZZ) -- uniform matroid