#13813: Fix bug in chessboard graphs generator
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Reporter: dcoudert | Owner: jason, ncohen, rlm
Type: defect | Status: needs_review
Priority: major | Milestone: sage-5.6
Component: graph theory | Resolution:
Keywords: | Work issues:
Report Upstream: N/A | Reviewers:
Authors: David Coudert | Merged in:
Dependencies: | Stopgaps:
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Changes (by dcoudert):
* cc: sluther, ncohen (added)
* status: new => needs_review
Old description:
> We should normally have:
> * The BishopGraph([d1,d2],radius=r) is isomorphic to the graph obtained
> merging the edges of the KnightGraphs([d1,d2],one=i,two=i) for 1<= i <=
> r.
> * The QueenGraph([d1,d2],radius=r) is isomorphic to the graph obtained
> merging the edges of a RookGraph([d1,d2,radius=r) and a
> BishopGraph([d1,d2],radius=r)
>
> With current implementation, the result was sometimes incorrect. This
> patch solves this issue and adds necessary tests.
New description:
We should normally have:
* The BishopGraph([d1,d2],radius=r) is isomorphic to the graph obtained
merging the edges of the KnightGraphs([d1,d2],one=i,two=i) for 1<= i <= r.
* The QueenGraph([d1,d2],radius=r) is isomorphic to the graph obtained
merging the edges of a RookGraph([d1,d2,radius=r) and a
BishopGraph([d1,d2],radius=r)
With current implementation, the result was sometimes incorrect. This
patch solves this issue and adds necessary doctests.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13813#comment:1>
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