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Isomorphism-free lexicographic enumeration of triangulated surfaces and 3-manifolds
Authors:Thom Sulanke  Frank H Lutz  
Institution:aDepartment of Physics, Indiana University, Bloomington, IN 47405, USA;bTechnische Universität Berlin, Institut für Mathematik, Straße des 17. Juni 136, 10623 Berlin, Germany
Abstract:We present a fast enumeration algorithm for combinatorial 2- and 3-manifolds. In particular, we enumerate all triangulated surfaces with 11 and 12 vertices and all triangulated 3-manifolds with 11 vertices. We further determine all equivelar polyhedral maps on the non-orientable surface of genus 4 as well as all equivelar triangulations of the orientable surface of genus 3 and the non-orientable surfaces of genus 5 and 6.
Keywords:
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