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For questions about mathematical tiling.

5 votes
3 answers
430 views

Can local flip moves connect dimer matchings on 'quadrangulated' planar bipartite graphs? (p...

Similar constructions for 'quadriculated graphs' in the plane that consist of squares meeting in an array in the plane have been in the affirmative by Thurston, in "Conway's Tiling Groups", and given necessary …
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  • 545
2 votes

Can local flip moves connect dimer matchings on 'quadrangulated' planar bipartite graphs? (p...

I think I've come up with a condition for flip-connectivity for which Lev's elegant answer is a special case and that avoid Brendan's counterexamples. We'll also see that it supports Lev's intuition t …
Joe's user avatar
  • 545