Object -- select the combinatorial object which the input should be interpreted as

Synopsis

• Usage:

  slackMatrix(V, Object => "matroid")

  slackIdeal(V, Object => "abstractPolytope")

  symbolicSlackMatrix(V, Object => "polytope")

  cycleIdeal(V, Object => "matroid")

  graphicIdeal(V, Object => "abstractPolytope")

  getFacetBases(V, Object => "cone")

  slackFromPlucker(V, Object => "polytope")

  symbolicSlackOfPlucker(V, Object => "matroid")

  grassmannSectionIdeal(V, Object => "cone")

  findFlag(V, Object => "matroid")

  containsFlag(fl, V, Object => "matroid")

  reducedSlackMatrix(V, Object => "polytope")

Description

See also

• slackMatrix -- computes the slack matrix of a given realization
• slackIdeal -- computes the slack ideal
• symbolicSlackMatrix -- computes the symbolic slack matrix
• cycleIdeal -- constructs the cycle ideal of a realization
• graphicIdeal -- creates the toric ideal of the non-incidence graph of a polytope
• getFacetBases -- get a list of d-spanning elements for each facet
• slackFromPlucker -- fill the slack matrix of a given polytope, cone or matroid with Plücker coordinates
• symbolicSlackOfPlucker -- fill the slack matrix with Plücker variables
• grassmannSectionIdeal -- compute the Grassmannian section ideal corresponding to a slack matrix
• findFlag -- computes a list of facet labels that make up a flag in a polytope
• containsFlag -- establishes whether or not a list of facet labels contains a flag in a polytope or matroid
• reducedSlackMatrix -- a reduced slack matrix of a polytope

Functions with optional argument named Object:

• containsFlag(...,Object=>...) -- specify combinatorial object
• cycleIdeal(...,Object=>...) -- specify combinatorial object
• findFlag(...,Object=>...) -- specify combinatorial object
• getFacetBases(...,Object=>...) -- specify combinatorial object
• graphicIdeal(...,Object=>...) -- specify combinatorial object
• grassmannSectionIdeal(...,Object=>...) -- specify combinatorial object
• reducedSlackMatrix(...,Object=>...) -- specify combinatorial object
• slackFromPlucker(...,Object=>...) -- specify combinatorial object
• slackIdeal(...,Object=>...) -- specify combinatorial object
• slackMatrix(...,Object=>...) -- specify combinatorial object
• symbolicSlackMatrix(...,Object=>...) -- specify combinatorial object
• symbolicSlackOfPlucker(...,Object=>...) -- specify combinatorial object