Reference : Distances in domino flip graphs
E-prints/Working papers : Already available on another site
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/30049
Distances in domino flip graphs
English
Parlier, Hugo mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit]
Zappa, Samuel [> >]
1-Aug-2016
Yes
[en] Mathematics - Combinatorics
[en] This article is about measuring and visualizing distances between domino tilings. Given two tilings of a simply connected square tiled surface, we're interested in the minimum number of flips between two tilings. Given a certain shape, we're interested in computing the diameters of the flip graphs, meaning the maximal distance between any two of its tilings. Building on work of Thurston and others, we give geometric interpretations of distances which result in formulas for the diameters of the flip graphs of rectangles or Aztec diamonds.
http://hdl.handle.net/10993/30049
http://esoads.eso.org/abs/2016arXiv160807072P
15 pages, 9 figures
https://arxiv.org/abs/1608.07072

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Open access
domino2016-08-25AMM.pdfAuthor preprint426.93 kBView/Open

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.