Irreducible triangulations of the Klein bottle

Journal of Combinatorial Theory. Series B

Volumn 70, Issue 2, 1997, Pages 265-291

  Lawrencenko, Serge ^a   Negami, Seiya ^b  

^a CENTRAL CHINA NORMAL UNIVERSITY   (China)

^b YOKOHAMA NATIONAL UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040238652     PISSN: 00958956     EISSN: None     Source Type: Journal    
DOI: 10.1006/jctb.1997.9999     Document Type: Article

References (10)

1. D. W. Barnette, Generating the triangulations of the projective plane, J. Combin. Theory Ser. B 33 (1982), 222-230.
2. D. W. Barnette and A. L. Edelson, All 2-manifolds have finitely many minimal triangulations, Israel J. Math. 67 (1989), 123-128.
3. R. Brunet, A. Nakamoto, and S. Negami, Every 5-connected triangulation on the Klein bottle is hamiltonian, preprint.
4. S. Lawrencenko, The irreducible triangulations of the torus, Ukrain. Geom. Sb. 30 (1987), 52-62. [Russian]
5. S. Lawrencenko and S. Negami, Constracting the graphs that triangulate both the torus and the Klein bottle, preprint.
6. A. Nakamoto and K. Ota, Note on irreducible triangulations of surfaces, J. Graph Theory 20 (1995), 227-233.
7. S. Negami, Classification of 6-regular Klein-bottlal graphs, Res. Rep. Inf. Sci. T.I.T. A 96 (1984).
8. S. Negami, "Uniqueness and Faithfulness of Embedding of Graphs into Surfaces," Doctoral thesis, Tokyo Institute of Technology, 1985.
9. S. Negami, Diagonal flips in triangulations of surfaces, Discrete Math. 135 (1994), 225-232.
10. E. Steinitz and H. Rademacher, "Vorlesungen üder die Theorie der Polyeder," Springer-Verlag, Berlin, 1934.