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(Why) does Vole work properly with multidigraphs? #60

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wilfwilson opened this issue Dec 6, 2021 · 0 comments
Open

(Why) does Vole work properly with multidigraphs? #60

wilfwilson opened this issue Dec 6, 2021 · 0 comments
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kind: question Someone wants to know something about Vole nature: mathematical nature: technical Uninteresting mathematically and fiddly things

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@wilfwilson
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Superficially, it seems that Vole is properly taking multidigraphs into account:

gap> D1 := Digraph([[2],[1]]);
<immutable digraph with 2 vertices, 2 edges>
gap> D2 := Digraph([[2,2],[1]]);
<immutable multidigraph with 2 vertices, 3 edges>
gap> VoleFind.Rep(VoleCon.Transport(D1, D1, OnDigraphs));
(1,2)
gap> VoleFind.Rep(VoleCon.Transport(D2, D2, OnDigraphs));
()
gap> VoleFind.Rep(VoleCon.Transport(D1, D2, OnDigraphs));
fail
gap> VoleFind.Rep(VoleCon.Transport(D2, D1, OnDigraphs));
fail

However, @ChrisJefferson wasn't consciously thinking about digraphs with multiple edges when he implemented this stuff. So it's possibly that it's only coincidentally working for the cases that I've tried, and that it will not work properly in some cases.

We should look at the code and convince ourselves that it does 'the right thing' in all cases.

@wilfwilson wilfwilson added kind: question Someone wants to know something about Vole nature: technical Uninteresting mathematically and fiddly things nature: mathematical labels Dec 6, 2021
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kind: question Someone wants to know something about Vole nature: mathematical nature: technical Uninteresting mathematically and fiddly things
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