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adjacentMinorsIdeal
-- ideal of adjacent minors
children(ChordalNetNode)
-- a node of a chordal network
Chordal
-- exploiting chordal structure in polynomial ideals
chordal networks examples
-- a new representation of polynomial ideals
chordalElim
-- performs elimination on the chordal network
chordalElim(ChordalNet)
-- performs elimination on the chordal network
ChordalGraph
-- a chordal graph
chordalGraph
-- chordal completion of a graph
chordalGraph(Digraph)
-- chordal completion of a graph
chordalGraph(ElimTree)
-- the elimination tree of a chordal graph
chordalGraph(Graph)
-- chordal completion of a graph
chordalGraph(Graph,List)
-- chordal completion of a graph
ChordalNet
-- a chordal network
chordalNet
-- constructs a chordal network from a polynomial set
chordalNet(HashTable,HashTable,ElimTree,Digraph)
-- construct chordal network from a digraph
chordalNet(Ideal)
-- constructs a chordal network from a polynomial set
chordalNet(Ideal,List)
-- constructs a chordal network from a polynomial set
chordalNet(Ideal,String)
-- constructs a chordal network from a polynomial set
ChordalNetChain
-- a chain of a chordal network
ChordalNetNode
-- a node of a chordal network
ChordalNetRank
-- a rank of a chordal network
chordalTria
-- makes a chordal network triangular
chordalTria(ChordalNet)
-- makes a chordal network triangular
chromaticIdeal
-- chromatic ideal of a graph
chromaticNumber(ChordalGraph)
-- a chordal graph
cliqueNumber(ChordalGraph)
-- a chordal graph
cliques
-- the elimination tree of a chordal graph
codim(ChordalNet)
-- dimension of a chordal network
codim(ChordalNetChain)
-- a chain of a chordal network
codimCount
-- codimension counts of the chains of a chordal network
codimCount(...,GetTable=>...)
-- get dynamic programming table
codimCount(ChordalNet)
-- codimension counts of the chains of a chordal network
components(ChordalNet)
-- components of a chordal network
components(ChordalNet,ZZ)
-- components of a chordal network
constraintGraph
-- constraint graph of a polynomial set
constraintGraph(Ideal)
-- constraint graph of a polynomial set
constraintGraph(Ring,List)
-- constraint graph of a polynomial set
digraph(ChordalNet)
-- digraph associated to a chordal network
dim(ChordalNet)
-- dimension of a chordal network
dim(ChordalNetChain)
-- a chain of a chordal network
displayGraph(ElimTree)
-- displays an elimination tree using Graphviz
displayGraph(String,String,ElimTree)
-- displays an elimination tree using Graphviz
displayNet
-- displays a chordal network using Graphivz
displayNet(ChordalNet)
-- displays a chordal network using Graphivz
displayNet(Function,ChordalNet)
-- displays a chordal network using Graphivz
displayNet(String,String,Function,ChordalNet)
-- displays a chordal network using Graphivz
ElimTree
-- the elimination tree of a chordal graph
elimTree
-- elimination tree of a chordal graph
elimTree(ChordalGraph)
-- elimination tree of a chordal graph
elimTree(ChordalNet)
-- the elimination tree of a chordal graph
generators(ChordalNetNode)
-- a node of a chordal network
GetTable
-- get dynamic programming table
inducedSubgraph(ChordalGraph)
-- a chordal graph
ineqs(ChordalNetNode)
-- a node of a chordal network
installation and configuration
-- of the Chordal package
isChordal(ChordalGraph)
-- a chordal graph
isPerfect(ChordalGraph)
-- a chordal graph
isPrimeSimple(ChordalNet)
-- simple primality test of a chordal network
isTriangular
-- whether a chordal network is triangular
isTriangular(ChordalNet)
-- whether a chordal network is triangular
label
(missing documentation)
label(ChordalNetNode)
-- a node of a chordal network
leaves(ElimTree)
-- leaves of an elimination tree
net(ChordalGraph)
-- a chordal graph
net(ChordalNet)
-- a chordal network
net(ChordalNetNode)
-- a node of a chordal network
net(ChordalNetRank)
-- a rank of a chordal network
net(ElimTree)
-- the elimination tree of a chordal graph
nextChain
-- iterates over the chains of a chordal network
nextChain(ChordalNet)
-- iterates over the chains of a chordal network
nextChain(ChordalNetChain,ChordalNet)
-- iterates over the chains of a chordal network
nextChain(ChordalNetChain,Sequence,ZZ,ChordalNet)
-- iterates over the chains of a chordal network
nextChain(ZZ,ChordalNet)
-- iterates over the chains of a chordal network
nextOrderedPartition
-- iterates over ordered partitions of a number
nextOrderedPartition(List,ZZ,List)
-- iterates over ordered partitions of a number
nextOrderedPartition(ZZ,List)
-- iterates over ordered partitions of a number
nodes
-- list of nodes of a chordal network
nodes(ChordalNet)
-- list of nodes of a chordal network
nodes(ChordalNet,RingElement)
-- list of nodes of a chordal network
parents(ChordalNetNode)
-- a node of a chordal network
pseudoRemainder(RingElement,ChordalNet)
-- ideal membership test
rank(ChordalNetNode)
-- a node of a chordal network
reduceDimension
-- removes arcs of a chordal network of small dimension
reduceNet
-- reduces a chordal network
reduceNet(ChordalNet)
-- reduces a chordal network
ring(ChordalNet)
-- a chordal network
RingElement % ChordalNet
-- ideal membership test
RingMap ChordalNet
-- apply ring map to a chordal network
RingMap ElimTree
-- apply ring map to a chordal network
rootCount
-- counts the number of roots of a chordal network
rootCount(ChordalNet)
-- counts the number of roots of a chordal network
setDefaultConfiguration
-- default configuration of a package
setDefaultConfiguration(Package,String,String)
-- default configuration of a package
setDefaultConfiguration(String,String,String)
-- default configuration of a package
size(ChordalNet)
-- size of a chordal network
structure
-- a chordal network
subsetsProductsIdeal
-- ideal of subset products
suggestVariableOrder
-- suggests a good variable ordering
suggestVariableOrder(Ideal)
-- suggests a good variable ordering
toLex
-- change monomial order to lexicographic
topComponents(ChordalNet)
-- top dimension of a chordal network
treewidth
-- treewidth of a graph
treewidth(ChordalGraph)
-- treewidth of a graph
treewidth(ElimTree)
-- treewidth of a graph
triaSystem(ChordalNet,ChordalNetChain)
-- a chain of a chordal network
writeDotFile(String,ElimTree)
-- writes a chordal network to a dot file
writeDotFile(String,Function,ChordalNet)
-- writes a chordal network to a dot file