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Added acyclic coloring #60
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The find_edge method has been reverted back to the old version with a worst case running time of O(size of E) where E is the edge set of graph g. The primary reason is that while the function can be optimized by returning a new edge, the ambiguity between which vertex is the source and which one is the destination breaks the disjoint set function as `Edge 1 => 2` is treated differently compared to `Edge 2=>1`.
TODO: add tests for checking condition 2 of acyclic coloring (all cycles of size 3 or more should have atleast 3 colors)
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I want to approve this PR just for the artistic drawings, but I'll restrain myself |
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Those renderings, A+. |
matbesancon
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@pkj-m to be |
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| A_graph = matrix2graph(_A, partition_by_rows) | ||
| color_graph(A_graph,alg) | ||
| end | ||
| abstract type SparseDiffToolsColoringAlgorithm <: ArrayInterface.ColoringAlgorithm end |
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Is this abstract type needed? Maybe the supertype from ArrayInterface is enough
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I'm not sure why we implemented it this way. Maybe @ChrisRackauckas can throw some light over it?
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Makes it not type piracy
matbesancon
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Co-Authored-By: Mathieu Besançon <mathieu.besancon@gmail.com>
Co-Authored-By: Mathieu Besançon <mathieu.besancon@gmail.com>
Co-Authored-By: Mathieu Besançon <mathieu.besancon@gmail.com>
Co-Authored-By: Mathieu Besançon <mathieu.besancon@gmail.com>
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@pkj-m some few more comments, then it looks good |
Co-Authored-By: Mathieu Besançon <mathieu.besancon@gmail.com>
Co-Authored-By: Mathieu Besançon <mathieu.besancon@gmail.com>
Co-Authored-By: Mathieu Besançon <mathieu.besancon@gmail.com>
Co-Authored-By: Mathieu Besançon <mathieu.besancon@gmail.com>
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@ChrisRackauckas @matbesancon can we merge this now? |
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Good to me yes
…On Mon, Aug 26, 2019, 21:44 Pankaj Mishra ***@***.***> wrote:
@ChrisRackauckas <https://github.com/ChrisRackauckas> @matbesancon
<https://github.com/matbesancon> can we merge this now?
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Allows user to color graph using acyclic coloring algorithm.
The main difference between acyclic coloring and ordinary distance-1 coloring is that in the case of acyclic coloring, on top of the regular distance-1 coloring condition, there is an added condition that all the cycles in the graph have atleast 3 colors present.
Example to illustrate the difference:
TODO:
firstTreeToVisitwith eitheredgetype or find a more efficient way to identify the specific edge object instead of iterating over all edges#29