3 -dimensional Euclidean manifolds represented by locally regular coloured graphs

Alba Valverde

Mathematica Slovaca (1997)

  • Volume: 47, Issue: 1, page 99-110
  • ISSN: 0139-9918

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Valverde, Alba. "$3$-dimensional Euclidean manifolds represented by locally regular coloured graphs." Mathematica Slovaca 47.1 (1997): 99-110. <http://eudml.org/doc/31957>.

@article{Valverde1997,
author = {Valverde, Alba},
journal = {Mathematica Slovaca},
keywords = {3-manifold; colored graph},
language = {eng},
number = {1},
pages = {99-110},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {$3$-dimensional Euclidean manifolds represented by locally regular coloured graphs},
url = {http://eudml.org/doc/31957},
volume = {47},
year = {1997},
}

TY - JOUR
AU - Valverde, Alba
TI - $3$-dimensional Euclidean manifolds represented by locally regular coloured graphs
JO - Mathematica Slovaca
PY - 1997
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 47
IS - 1
SP - 99
EP - 110
LA - eng
KW - 3-manifold; colored graph
UR - http://eudml.org/doc/31957
ER -

References

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  2. COSTA A. F., Locally regular coloured graphs, J. Geom. 43 (1992), 57-74. (1992) Zbl0758.05049MR1148257
  3. COSTA A. F., Regular Coloured Graphs and 3-Manifolds, Giornate di Topologia e Geometria delle Varieta, Universita di Bologna, Dipartimento di Matematica, Bologna, 1992. (1992) Zbl0767.05047MR1196720
  4. COXETER H. S. M., Discrete groups generated by reflections, Ann. of Math. (2) 35 (1934), 588-621. (1934) Zbl0010.01101MR1503182
  5. COXETER H. S. M., Regular Polytopes, (3rd ed.), Dover Publications, Inc.-New York, 1973. (1973) MR0370327
  6. FERRI M.-GAGLIARDI C.-GRASSELLI L., A graph theoretical representation of P.L. manifolds. A survey on crystallizations, Aequationes Math. 31 (1986), 121-141. (1986) MR0867510
  7. International Tables for X-Ray Crystallography, New edition: Vol. A (Theo Hahn, ed.), D. Reidel, Dordrecht, 1983. (1983) MR0817988
  8. JONES G. A.-SINGERMAN D., Maps, hypermaps and triangle groups, In: The Grothendieck Theory of Dessins d'Enfants (L. Schneps, ed.), London Math. Soc Lecture Note Ser. 200, Cambridge Univ. Press, Cambridge, 1994, pp. 115-145. (1994) Zbl0833.20045MR1305395
  9. SCOTT P., The geometries of 3-manifolds, Bull. London Math. Soc 15 (1983), 401-487. (1983) Zbl0561.57001MR0705527
  10. VINCE A., Combinatorial maps, J. Combin. Theory Ser. B 34 (1983), 1-21. (1983) Zbl0514.05032MR0701167
  11. VINCE A., Regular combinatorial maps, J. Combin. Theory Ser. B 35 (1983), 256-277. (1983) Zbl0514.05032MR0735194
  12. WOLF J. A., Spaces of Constant Curvature, (5st ed.), Publish or Perish, Inc., New York, 1984. (1984) Zbl0556.53033MR0928600

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