Copyright (C) 2014-19 by Jan De Beule, Julius Jonušas, James D. Mitchell, Michael Torpey, Wilf A. Wilson et al.
Licensing information can be found in the LICENSE file.
Version 1.0.0! DigraphColoring (american spelling) was removed. Changed IsEulerian. QuotientDigraph is changed.
This is a minor release that fixes a few bugs.
In previous versions, the homomorphism-finding tools sometimes returned
purported ‘monomoprhisms’ that were not injective. This problem was reported by
Gordon Royle, see
Issue #222,
and fixed by James D. Mitchell in
PR #223.
In addition, Wilf A. Wilson
fixed a bug
in DigraphNrEdges
. This function could previously lead to a crash when given a
digraph whose OutNeighbours
contained entries not in IsPlistRep
.
This is a minor release that fixes a typo in the documentation of
JohnsonDigraph
, and contains some minor tweaks for compatibility with
future versions of GAP.
This is a minor release that updates Digraphs for compatibility with the
upcoming GAP 4.11, and resolves a bug in IsHamiltonianDigraph
that could have
lead to the boolean adjacency matrix of a digraph being accidentally modified;
see Issue #191 and
PR #192.
This is a minor release of the Digraphs package, which improves the compatibility of Digraphs with cygwin. In particular, in the Windows installer of the next release of GAP, Digraphs should be included in a pre-compiled and working state. See Issue #177 and PR #178 for more details.
Digraphs now requires version 4.8.2 of the orb package, or newer.
This release contains several substantial new features, and some changes to previous functionality.
The most significant change in behaviour is related to the Digraph6 format used in previous versions of the Digraphs package. This method of encoding directed graphs was developed independently from, but concurrently with, the Digraph6 format introduced by nauty; see Issue #158 for more information. The Digraphs package now uses the nauty format, although digraphs encoded using the old format can still be read in. This incompatibility was reported by Jukka Kohonen, and the changes were made by Michael Torpey in PR #162.
Other additions and changes are listed below:
- A copy of the Edge Addition Planarity
Suite
is now included in Digraphs, and so it is now possible to test digraphs for
planarity, and to perform related computations. This was added by James D.
Mitchell in PR
#156. The new
functionality can be accessed via:
Is(Outer)PlanarDigraph
,(Outer)PlanarEmbedding
,Kuratowski(Outer)PlanarSubdigraph
,SubdigraphHomeomorphicToK(23/4/33)
, andMaximalAntiSymmetricSubdigraph
.
- The functionality and performance for computing homomorphisms of digraphs was
significantly improved by James D. Mitchell in PR
#160. This PR also
introduced the operations
EmbeddingsDigraphs
andEmbeddingsDigraphsRepresentatives
. - The one-argument attribute
DigraphColouring
was renamed toDigraphGreedyColouring
, and its performance was improved; it now uses the Welsh-Powell algorithm, which can be accessed directly viaDigraphWelshPowellOrder
. The behaviour ofDigraphGreedyColouring
can be modified by including an optional second argument; see the documentation for more information. This work was done by James D. Mitchell in PR #144. DigraphShortestPath
was introduced by Murray Whyte in PR #148.IsAntiSymmetricDigraph
(with a capital S) was added as a synonym forIsAntisymmetricDigraph
.RandomDigraph
now allows a float as its second argument; by James D. Mitchell in PR #159.- The attribute
CharacteristcPolynomial
for a digraph was added by Luke Elliott in PR #164. - The properties
IsVertexTransitive
andIsEdgeTransitive
for digraphs were added by Graham Campbell in PR #165.
This release contains bugfixes and a couple of new features.
- The operations
AsSemigroup
andAsMonoid
for lattice and semilattice digraphs were added by Chris Russell in PR #136. - The operation
IsDigraphColouring
was added by James D. Mitchell in PR #145. - In previous versions of the package, the output of
ArticulationPoints
would sometimes contain repeated vertices (reported by Luke Elliott in Issue #140, and fixed by James D. Mitchell in PR #142). - In previous versions of the package, an unexpected error was sometimes caused when removing an immutable set of vertices from a digraph (reported and fixed by James D. Mitchell in PR #146).
- The header file
x86intrin.h
was unnecessarily being included by the kernel module of Digraphs (reported by Wilf A. Wilson in Issue #147, and fixed by James D. Mitchell in PR #152).
Max Horn also contributed various compatibility and correctness changes to the kernel module of the package, including in PRs #149, #150, and #151.
Digraphs now requires version 4.8.1 of the orb package, or newer.
This release of Digraphs contains some bugfixes, along with the following new features:
- The GraphViz engine used by
Splash
is now configurable, thanks to Markus Pfeiffer. - The properties
IsPartialOrderDigraph
,IsPreorderDigraph
, andIsQuasiorderDigraph
were introduced by Chris Russell, along with the following functions for visualising these kinds of digraphs:DotPartialOrderDigraph
DotPreorderDigraph
DotQuasiorderDigraph
- The following functions for transformations and permutations were added by James D. Mitchell:
IsDigraphHomomorphism
IsDigraphEpimorphism
IsDigraphMonomorphism
IsDigraphEndomorphism
IsDigraphEmbedding
IsDigraphIsomorphism
Digraphs now requires version 4.9.0 of GAP, or newer.
This is a minor release which contains some small adjustments to the build system of the package.
This is a minor release, which contains several bugfixes. The following problems were resolved by James D. Mitchell:
HomomorphismDigraphFinder
sometimes failed to find a homomorphism when one existsed [Issue #111, reported by Gordon Royle];- the documentation for
HomomorphismDigraphFinder
was incomplete [Issue #112]; and - a segmentation fault could be caused when using Digraphs with NautyTracesInterface, in certain cases [Issue #114].
This release contains bugfixes and new features. In particular, it:
- fixes a bug in
ArticulationPoints
andIsBiconnectedDigraph
[Wilf A. Wilson]; - adds the property
IsChainDigraph
[Ashley Clayton]; and - adds the operation
IsDigraphAutomorphism
[Chris Russell].
Digraphs now requires version 4.5.1 of the IO package.
The principal change in Digraphs version 0.11.0 is the addition of support for computing automorphisms, canonical labellings, and isomorphisms of digraphs with nauty. This functionality requires the NautyTracesInterface package for GAP, version 0.2 or newer. However, this is not a required package, and the default engine remains bliss. It is possible to specify the engine that is used by Digraphs. These changes to Digraphs were made by James D. Mitchell].
In particular, version 0.11.0 includes the following changes:
BlissAutomorphismGroup
andNautyAutomorphismGroup
are introduced.DigraphCanonicalLabelling
is replaced byBlissCanonicalLabelling
andNautyCanonicalLabelling
.BlissCanonicalDigraph
andNautyCanonicalDigraph
are introduced [Chris Russell and James D. Mitchell].DigraphsUseNauty
andDigraphsUseBliss
are introduced.
The property IsHamiltonianDigraph
and the attribute HamiltonianPath
were
added by Luke Elliott. Additionally, this release fixes several bugs, including
one in DigraphSymmetricClosure
and one in CompleteDigraph
.
Digraphs now requires version 4.4.6 of the IO package.
This is a minor release, which contains performance improvements, and fixes a
bug in Digraph
that could cause a segmentation fault.
This release contains new features, bugfixes, and minor improvements to the
documentation. There is a new method for ChromaticNumber
, which has better
performance than the previous method
[Julius Jonusas
and James D. Mitchell].
A bug in the code for calculating homomorphisms of digraphs, which could cause
a crash, was resolved [James D. Mitchell].
- Vertex labelled digraphs can now be visualised in a way that displays vertex
labels, by using the new operation
DotVertexLabelledDigraph
. - The attribute
CliqueNumber
is introduced. - The following new attributes for Cayley digraphs are introduced:
GroupOfCayleyDigraph
SemigroupOfCayleyDigraph
GeneratorsOfCayleyDigraph
All of the new features were added by James D. Mitchell.
This release introduces several new features.
The following attributes and properties were added by James D. Mitchell:
ArticulationPoints
(and its synonymCutVertices
)IsBiconnectedDigraph
IsCycleDigraph
The following operations related to matchings were added by Isabella Scott and Wilf A. Wilson:
IsMatching
IsPerfectMatching
IsMaximalMatching
This is a minor release, which updates the README file and updates the list of package authors and contributors.
This release contains new features, several minor bugfixes, and minor improvements to the documentation of the package.
This release introduces the new operations DigraphClosure
[Julius Jonusas]
and BooleanAdjacencyMatrixMutableCopy
[Wilf A. Wilson],
along with the following properties and operations related to semilattices
[Chris Russell]:
IsPartialOrderDigraph
IsMeetSemilatticeDigraph
IsJoinSemilatticeDigraph
IsLatticeDigraph
PartialOrderDigraphMeetOfVertices
PartialOrderDigraphJoinOfVertices
This is a minor release, which fixes bugs in DigraphTopologicalSort
and
IsAntisymmetricDigraph
that could trigger segmentation faults.
This release introduces several new features, changes some existing functionality, and improves the documentation. The changes in this release were made by Wilf A. Wilson.
-
This release contains a new technique for encoding a vertex-coloured multidigraph as a vertex-coloured (undirected) graph while preserving the automorphism group, in order to calculate the automorphism group and canonical labelling using bliss. This enables the following functionality:
- the operations
AutomorphismGroup
andDigraphCanonicalLabelling
for a digraph and a vertex-colouring now accept a multidigraph as their first argument; - the operations
IsIsomorphicDigraph
andIsomorphismDigraphs
now accept multidigraphs, and they also accept vertex-colourings as optional arguments.
- the operations
-
This release add new functionality related to undirected spanning trees and undirected spanning forests:
- the property
IsUndirectedForest
is introduced; - the attributes
UndirectedSpanningTree
andUndirectedSpanningForest
are introduced; and - the operations
IsUndirectedSpanningTree
andIsUndirectedSpanningForest
are introduced.
- the property
- The behaviour of
IsSubdigraph
is changed in the case that it is given one or two multidigraphs. - The one-argument version of the operation
DigraphColouring
(and its synonym,DigraphColoring
) is now an attribute.
This is a minor release. This release fixes a bug in AsDigraph
for a
transformation and an integer. The operations OutNeighboursCopy
and
OutNeighborsCopy
are renamed to OutNeighboursMutableCopy
and
OutNeighborsMutableCopy
, respectively, and new operations
InNeighboursMutableCopy
and InNeighborsMutableCopy
are introduced.
This is a major release, adding a variety of new operations and attributes for Digraphs, as well as improving some functions and improving the package's documentation. In this version, we welcome Luke Elliott and Markus Pfeiffer as new authors.
- The ability to label the edges of digraphs is introduced. [Markus Pfeiffer]
- The operation
CompleteMultipartiteDigraph
is introduced. [Stuart Burrell and Wilf A. Wilson] - The operations
ReadDIMACSDigraph
andWriteDIMACSDigraph
are introduced. [Wilf A. Wilson] - The operation
ChromaticNumber
is introduced. [James D. Mitchell and Wilf A. Wilson] - The operations
IsDirectedTree
andIsUndirectedTree
are introduced. [Luke Elliott] - The operation
IsEulerianDigraph
is introduced. [Luke Elliott]
This is a minor release containing one bugfix and several other minor changes. Digraphs now works when it and GAP are compiled in 32 bit mode.
This release contains some bugfixes, some minor new features, and some performance improvements. The package has moved to GitHub and we welcome Finn Smith as an author.
This release contains a new technique for encoding a vertex-coloured digraph as a vertex-coloured (undirected) graph while preserving the automorphism group, in order to calculate the automorphism group using bliss. These changes were made by Finn Smith. The previous technique involved adding two intermediate vertices for every edge; on a digraph with n
vertices this could add 2n(n-1)
new vertices. The new technique encodes a digraph with n
vertices as a graph with 3n
vertices. In certain cases, this can lead to a dramatic improvement in the time taken to calculate the automorphism group.
The new reduction is based on two techniques in:
David Bremner, Mathieu Dutour Sikiric, Dmitrii V. Pasechnik, Thomas Rehn, Achill Schürmann. Computing symmetry groups of polyhedra. https://arxiv.org/abs/1210.0206v3
Namely, "Dealing with digraphs" followed by "Reduction by superposition". From the graph obtained by these techniques, n
vertices which are irrelevant to automorphism finding are removed.
The actual reduction used is as follows: Given a digraph D=(V=[]1 .. n],E,c)
, create three copies V1
, V2
, V3
of the vertex set V
. Colour V1
according to the colouring c
of D
, and V2
, V3
with two distinct colours that do not occur in D
. Connect each vertex in V1
to the corresponding vertices in V2
, V3
. For every arc (x,y)
in E
, put an edge between the copy of x
in V2
, and the copy of y
in V3
. Automorphisms of this graph, when restricted to V
, are precisely the automorphisms of D
.
Because this changes the graph used to calculate automorphisms, the results sometimes nominally differ from the previous version - especially in the case of canonical labelling, where unrecognisably different results may appear. Generators also often appear in different orders.
The performance improvements are most noticeable on large, quite dense digraphs. On random digraphs with 5000 vertices and 0.5 edge probability, 200-400x speedups were common. When calculating the automorphism group of the complete digraph on 1000 vertices, with vertex i
having colour i mod 2 + 1
, we obtain a 66x speedup. When the vertex i
is assigned colour i mod 7 + 1
, this becomes a 400x speedup.
Minor changes include:
- a better method for
DigraphReverse
[Wilf A. Wilson] - automorphism groups of complete, empty, cycle, chain, and complete bipartite digraphs are set at creation [Michael Torpey]
- a minor improvement in performance in the
DigraphMaximalCliques
[Wilf A. Wilson] - a new operation
AdjacencyMatrixMutableCopy
[James D. Mitchell]
This release contains some bugfixes, as well as new and changed functionality. Digraphs now requires the Orb package, version 4.7.5 or higher.
DigraphFile
andIteratorFromDigraphFile
are introduced. [James D. Mitchell]WriteDigraphs
andReadDigraphs
can now take a file as a first argument. [James D. Mitchell]- The operation
DigraphPath
is introduced to find a path between two vertices in a digraph. [Wilf A. Wilson] - The operation
IteratorOfPaths
is introduced to iterate over the paths between two vertices in a digraph. [Wilf A. Wilson] - The property
IsCompleteBipartiteDigraph
is introduced. [Wilf A. Wilson]
Several bugs related to clique finding have been resolved. [Wilf A. Wilson]
- Files with extension
bz2
were previously not (un)compressed when used withReadDigraphs
andWriteDigraphs
. [James D. Mitchell] - The documentation in Chapter 8 "Finding cliques and independent sets" has been corrected to accurately reflect the functionality of the package.
- A bug which led to too few cliques and independent sets being found for some digraphs has been resolved.
- A bug which led to duplicate cliques and independent sets being found for some digraphs has been resolved.
This is a minor release to fix a bug in DigraphAllSimpleCircuits
that failed to
return all simple circuits in some cases Issue 13. Some documentation was also updated.
This is a very minor release to change the version of GAP required.
This is a major release, primarily aimed at incorporating more of the functionality of Grape into Digraphs, as well as fixing some bugs. In this version, we welcomed Jan De Beule to the development team.
- Functionality to calculate cliques and independent sets
- New methods for the constructor function
Digraph
ReadDigraphs
andWriteDigraphs
now have a new output format.p
or.pickle
, which allows known automorphisms to be stored with the digraph- The following functions now use known automorphisms:
DigraphDiameter
DigraphDual
DigraphShortestDistances
Digraph
method for a Grape graphGraph
InDegreeSequence
OutDegreeSequence
- The following new functions were added:
BipartiteDoubleDigraph
BooleanAdjacencyMatrix
CayleyDigraph
DigraphAddAllLoops
DigraphAddEdgeOrbit
DigraphAdjacencyFunction
DigraphColoring
for a digraphDigraphDegeneracyOrdering
DigraphDegeneracy
DigraphDistanceSet
DigraphGirth
DigraphGroup
DigraphLayers
DigraphLongestSimpleCircuit
DigraphOrbitReps
DigraphOrbits
DigraphRemoveEdgeOrbit
DigraphSchreierVector
DigraphShortestDistance
DigraphStabilizer
DigraphUndirectedGirth
DistanceDigraph
DoubleDigraph
EdgeOrbitsDigraph
InDegreeSet
IsDigraphEdge
for a digraph and a listIsDistanceRegularDigraph
IsInRegularDigraph
IsOutRegularDigraph
IsRegularDigraph
JohnsonDigraph
LineDigraph
LineUndirectedDigraph
MaximalSymmetricSubdigraphWithoutLoops
MaximalSymmetricSubdigraph
OutDegreeSet
RepresentativeOutNeighbours
[Jan De Beule, Julius Jonusas, James D. Mitchell, Michael Torpey, Wilf A. Wilson]
This is another minor release due to some missing build files in the Version 0.3.1 archive.
This is a minor release due to some missing build files in the Version 0.3 archive.
This release contains a number of bugfixes and performance improvements.
- The attribute
DigraphAllSimpleCircuits
based on the algorithm in this paper by Donald B. Johnson. [Stuart Burrell and Wilf A. Wilson] - Improve efficiency of the algorithm for coloring a graph with 2 colours, a method for
IsBipartiteDigraph
andDigraphBicomponents
. [Isabella Scott and Wilf A. Wilson] AutomorphismGroup
andDigraphCanonicalLabelling
can now be used with color classes that are preserved by the permutations acting on a digraph. [James D. Mitchell]- The
TCodeDecoder
was made more efficient. [James D. Mitchell] AsTransformation
is introduced for digraphs inIsFunctionalDigraph
. [James D. Mitchell]- The tests and their code coverage were improved.
- There was a memory leak in bliss-0.73, which is fixed in the copy of bliss included with Digraphs, but not in the official release of bliss. [James D. Mitchell]
- Some bits of code that caused compiler warnings were improved. [James D. Mitchell]
- Some memory leaks were resolved in the Digraphs kernel module. [Michael Torpey]
The first release.
Pre-release version that was not made publicly available.