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For a mesh the different edge types should produce very similar distances. For non-mesh inputs having a parameter for the edge type could improve the results.
The distance queue appears to be created over the 'primary' edge type:
EnGPar/partition/Diffusive/src/engpar_queue.cpp
Line 254 in f96ddea
For a mesh the different edge types should produce very similar distances. For non-mesh inputs having a parameter for the edge type could improve the results.