2026-07-22T03:55:32Z https://drops.dagstuhl.de/oai

oai:drops-oai.dagstuhl.de:20035 2024-06-06T06:21:18Z ddc:004 open_access

Visualizing Lucas’s Hamiltonian Paths Through the Associahedron 1-Skeleton (Media Exposition) La, Kacey Thien-Huu Arbelo, Jose E. Tralie, Christopher J. associahedron hamiltonian paths visualization tree rotations convex polygons We re-examine the 1987 paper by Joan Lucas[Lucas, 1987], who showed that the edge-flip graph of convex polygon triangulations is Hamiltonian. We focus specifically on the first part of her paper on Hamiltonian paths, and we provide a simplified algorithm for that case which elucidates how to assemble a recursive subdivision that she refers to as "stacks." Finally, we provide an interactive web-based visualization of Hamiltonian paths through the stacks. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Kacey Thien-Huu La and Jose E. Arbelo and Christopher J. Tralie 2024 Is Part Of LIPIcs, Volume 293, 40th International Symposium on Computational Geometry (SoCG 2024) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/LIPIcs.SoCG.2024.90 urn:nbn:de:0030-drops-200355 https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2024.90 eng https://creativecommons.org/licenses/by/4.0/legalcode