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ChordalNet -- a chordal network

Description

This type describes a chordal network representation of a polynomial ideal. The constructor of this type is chordalNet

Examples

Overview of chordal networks methods

Methods to visualize a chordal network: Methods to access properties of a chordal network: Elimination routines using chordal structure: Methods for triangular chordal networks:

Functions and methods returning an object of class ChordalNet:

Methods that use an object of class ChordalNet:

  • chordalElim(ChordalNet) -- see chordalElim -- performs elimination on the chordal network
  • net(ChordalNet)
  • ring(ChordalNet)
  • triaSystem(ChordalNet,ChordalNetChain) -- see ChordalNetChain -- a chain of a chordal network
  • chordalTria(ChordalNet) -- see chordalTria -- makes a chordal network triangular
  • codimCount(ChordalNet) -- see codimCount -- codimension counts of the chains of a chordal network
  • components(ChordalNet) -- see components(ChordalNet,ZZ) -- components of a chordal network
  • components(ChordalNet,ZZ) -- components of a chordal network
  • digraph(ChordalNet) -- digraph associated to a chordal network
  • codim(ChordalNet) -- see dim(ChordalNet) -- dimension of a chordal network
  • dim(ChordalNet) -- dimension of a chordal network
  • displayNet(ChordalNet) -- see displayNet -- displays a chordal network using Graphivz
  • displayNet(Function,ChordalNet) -- see displayNet -- displays a chordal network using Graphivz
  • displayNet(String,String,Function,ChordalNet) -- see displayNet -- displays a chordal network using Graphivz
  • elimTree(ChordalNet) -- see ElimTree -- the elimination tree of a chordal graph
  • isPrimeSimple(ChordalNet) -- simple primality test of a chordal network
  • isTriangular(ChordalNet) -- see isTriangular -- whether a chordal network is triangular
  • nextChain(ChordalNet) -- see nextChain -- iterates over the chains of a chordal network
  • nextChain(ChordalNetChain,ChordalNet) -- see nextChain -- iterates over the chains of a chordal network
  • nextChain(ChordalNetChain,Sequence,ZZ,ChordalNet) -- see nextChain -- iterates over the chains of a chordal network
  • nextChain(ZZ,ChordalNet) -- see nextChain -- iterates over the chains of a chordal network
  • nodes(ChordalNet) -- see nodes -- list of nodes of a chordal network
  • nodes(ChordalNet,RingElement) -- see nodes -- list of nodes of a chordal network
  • reduceNet(ChordalNet) -- see reduceNet -- reduces a chordal network
  • pseudoRemainder(RingElement,ChordalNet) -- see RingElement % ChordalNet -- ideal membership test
  • RingElement % ChordalNet -- ideal membership test
  • rootCount(ChordalNet) -- see rootCount -- counts the number of roots of a chordal network
  • size(ChordalNet) -- size of a chordal network
  • writeDotFile(String,Function,ChordalNet) -- writes a chordal network to a dot file

For the programmer

The object ChordalNet is a type, with ancestor classes MutableHashTable < HashTable < Thing.


The source of this document is in Chordal/ChordalDoc.m2:221:0.