Applications of Topology to the Analysis of 1-Dimensional Objects (Dagstuhl Seminar 17072)

This report documents the program and the outcomes of Dagstuhl Seminar 17072 "Applications of Topology to the Analysis of 1-Dimensional Objects".

[1]  Michael S. Floater,et al.  Parametric Tilings and Scattered Data Approximation , 1998, Int. J. Shape Model..

[2]  M. Lackenby A polynomial upper bound on Reidemeister moves , 2013, 1302.0180.

[3]  Xuemin Lin,et al.  Towards area requirements for drawing hierarchically planar graphs , 2003, Theor. Comput. Sci..

[4]  A. Hatcher On triangulations of surfaces , 1991 .

[5]  Günter Rote,et al.  Convexifying Polygons Without Losing Visibilities , 2011, CCCG.

[6]  W. T. Tutte How to Draw a Graph , 1963 .

[7]  Norishige Chiba,et al.  Drawing plane graphs nicely , 1985, Acta Informatica.

[8]  Hiroshi Nagamochi,et al.  Convex drawings of hierarchical planar graphs and clustered planar graphs , 2010, J. Discrete Algorithms.

[9]  Marc Lackenby,et al.  Core curves of triangulated solid tori , 2011, 1106.2934.

[10]  Sergei Matveev,et al.  Algorithmic Topology and Classification of 3-Manifolds , 2003 .

[11]  David Eppstein,et al.  Planar and Poly-Arc Lombardi Drawings , 2018, J. Comput. Geom..

[12]  A. Mijatović Simplifying triangulations of S3 , 2003 .

[13]  Craig Gotsman,et al.  Discrete one-forms on meshes and applications to 3D mesh parameterization , 2006, Comput. Aided Geom. Des..

[14]  David Eppstein,et al.  Planar Lombardi Drawings for Subcubic Graphs , 2012, GD.

[15]  Timothy M. Chan,et al.  How to Morph Planar Graph Drawings , 2016, SIAM J. Comput..

[16]  D. Rolfsen Knots and Links , 2003 .

[17]  Giordano Da Lozzo,et al.  Optimal Morphs of Convex Drawings , 2015, SoCG.