About igraph releases and other things

IGraph/M 0.6.0

IGraph/M 0.6.0, the Mathematica interface of igraph, is now out! This released is based on the 0.9 series of C/igraph, bringing significant robustness improvements, as well as new features. Some of the highlights are an experimental interactive graph editor, contributed by Kuba Podkalicki, and experimental support for progress reporting. Apple computers based on the ARM architecture (“Apple Silicon”) are now supported.

As always, you can update to the latest version by evaluating the following:


The earliest supported Mathematica version is now 11.0, or 12.2 on the Raspberry Pi.

Please report any issues you may find on GitHub or on our forum.

IGraph/M 0.6.0

This version is based on the 0.9 series of C/igraph.


  • IGHarmonicCentrality and IGHarmonicCentralityCutoff compute the harmonic centrality and range-limited harmonic centrality.
  • IGLinkRank and IGPersonalizedLinkRank compute the equivalent of PageRank for edges.
  • IGNeighborhoodCloseness computes the range-limited closeness centrality, as well as the number of vertices reachable within the given range.
  • IGFamousGraph exposes the igraph C library’s built-in graph database.
  • IGPreferenceGame and IGAsymmetricPreferenceGame create non-growing random graphs based on vertex types.
  • IGReingoldTilford and IGReingoldTilfordCircular now support the DirectedEdges option.
  • IGFruchtermanReingold now supports constraining the coordinates of a subset of vertices.
  • IGPercolationCurve for efficiently computing the size of the largest component as a function of mean degree while removing edges.
  • IGShortestPathTree for computing a shortest path tree rooted in a given vertex.
  • IGGraphEditor is an experimental interactive graph editor.
  • Experimental progress reporting functionality through functions in the IGraphM`Progress` context.


  • IGConnectedQ and IGWeaklyConnectedQ now consider the null graph to be disconnected; this is consistent with other functions such as IGTreeQ.
  • IGAveragePathLength now has a "ByComponents" option, controlling the handling of disconnected graphs.
  • Centrality functions:
    • IGCloseness now computes the normalized closeness, i.e. the inverse of the mean distance to other vertices, by default. Use Normalized -> False to get the previous behaviour.
    • IGCloseness now uses the distances only to reachable vertices when computing the closeness. In undirected disconnected graphs, it effectively computes the closeness per component. For isolated vertices (or sinks in directed graphs) it now returns Indeterminate.
    • IGBetweenness and IGBetweennessCentralization no longer uses the Method option. The calculations are always fast and precise. The precision has been improved.
    • IGBetweennessEstimate, IGEdgeBetweennessEstimate and IGClosenessEstimate have been renamed to IGBetweennessCutoff, IGEdgeBetweennessCutoff and IGClosenessCutoff.
  • IGRelativeNeighborhoodGraph now assumes the β -> 2, β < 2 limit instead of β = 2.
  • IGGirth now returns Infinity for the null graph.
  • IGDiameter now returns Indeterminate for the null graph.
  • IGChordalQ, IGChordalCompletion and IGMaximumCardinalitySearch now support non-simple graphs.
  • IGReingoldTilford and IGReingoldTilfordCircular use a new automatic root selection algorithm. The root selection heuristic may change in the future without notice. Specify roots manually for a consistent result.
  • IGPotentiallyConnectedQ no longer supports directed sequences. This feature was flawed in 0.5. It may be re-added in a future version.
  • IGLayoutKamadaKawai and IGLayoutKamadaKawai3D perform more iterations by default, and produce more pleasing layouts.
  • IGPersonalizedPageRank allows specifying the reset weights as an association from vertex names to values.
  • LAD isomorphism functions now support self-loops.
  • Motif finder functions now support size 5 and 6 undirected motifs.
  • The behaviour of the random number generator is now consistent between platforms, meaning that with a given seed, a randomized IGraph/M function will return the same result on all platforms. However, result will now be different from version 0.5 for the same seed.


  • IGPageRank and IGPersonalizedPageRank will now warn if the calculation did not converge with the "Arnoldi" method. This happens only in rare cases.
  • IGPersonalizedPageRank: the default "PRPACK" method returned an incorrect result when the graph was not connected and the personalization vector was not uniform.
  • Several community detection functions did not handle zero or one-vertex graphs correctly.
  • IGVertexMap would evaluate the mapped functions twice instead of once.
  • IGMaximumCardinalitySearch returned incorrect ranks for graphs whose vertex names differed from their vertex indices.
  • IGDistanceWeighted no longer fails on edgeless graphs.
  • IGCallawayTraisGame no longer rejects zeros in the preference matrix.
  • An error would be triggered when some functions returned a zero-size matrix.
  • Fixed a memory leak in the Nauty format reader.
  • IGMotifsVertexParticipation would fail with Mathematica 12.2 or later.
  • Fixed a conflict with Mathematica 13.0’s built-in isomorphism functions which could lead to a crash on Linux.


  • IGraph/M now requires Mathematica 11.0 or later; on the Raspberry Pi it requires Wolfram Engine 12.2 or later.
  • More robust error handling: when certain serious errors occur in the igraph C library, the Mathematica kernel is no longer forced to shut down.
  • IGraph/M got leaner: smaller binary sizes.
  • Documentation improvements.