Ball packings for links

European Journal of Combinatorics - Tập 96 - Trang 103351 - 2021
Jorge L. Ramírez Alfonsín1,2, Iván Rasskin2
1UMI2924 J.-C. Yoccoz, CNRS-IMPA, Brazil
2IMAG, Univ Montpellier, CNRS, Montpellier, France

Tài liệu tham khảo

Adams, 2000 Bezdek, 2013, Contact graphs of unit sphere packings revisited, J. Geom., 104, 57, 10.1007/s00022-013-0156-4 Bowers, 2020, Combinatorics encoding geometry: the legacy of Bill Thurston in the story of one theorem, 173 Boyd, 1974, A new class of infinite sphere packings, Pacific J. Math., 50, 283, 10.2140/pjm.1974.50.383 Breu, 1996, On the complexity of recognizing intersection and touching graphs of disks, 88 Chen, 2014 Chen, 2015, Lorentzian Coxeter systems and Boyd-Maxwell ball packings, Geom. Dedicata, 174, 43, 10.1007/s10711-014-0004-1 Collins, 2003, A circle packing algorithm, Comput. Geom. Theor. Appl., 25, 233, 10.1016/S0925-7721(02)00099-8 Diao, 2004, Realizable powers of ropelengths by nontrivial knot families, J. Geom. Topol., 4, 197 Elrifai, 2006, On stick number of knots and links, Chaos Solitons Fractals, 27, 233, 10.1016/j.chaos.2005.03.037 Guettler, 2010, A generalization of Apollonian packing of circles, J. Comb., 1, 1 Hliněný, 1997, Touching graphs of unit balls, 350 Koebe, 1936, Kontaktprobleme der konformen abbildung, Ber. Sächs. Akad. Wiss. Leipzig, Math.-Phys. Kl, 88, 141 Kuperberg, 1994, Average kissing numbers for non-congruent sphere packings, Math. Res. Lett., 1, 339, 10.4310/MRL.1994.v1.n3.a5 Lagarias, 2002, Beyond the descartes circle theorem, Amer. Math. Monthly, 109, 338, 10.1080/00029890.2002.11920896 Maehara, 2007, On configurations of solid balls in 3-space: Chromatic numbers and knotted cycles, Graphs Combin., 23, 307, 10.1007/s00373-007-0702-7 Maehara, 1997, On the graph represented by a family of solid balls on a table, Ryukyu Math. J., 10, 51 Maehara, 1999, On knotted necklaces of pearls, European J. Combin., 20, 411, 10.1006/eujc.1998.0279 Maehara, 2000, On soddy’s hexlet and a linked 4 pair, 188 Stephenson, 2005, 356 Thurston, 1997 Wilker, 1981, Inversive geometry, 379