Homeomorphism of 2-complexes is equivalent to graph isomorphism

International Journal of Computational Geometry and Applications

Volumn 10, Issue 5, 2000, Pages 453-476

  Ó Dúnlaing, Colm ^a   Watt, Colum ^a   Wilkins, David ^a  

^a TRINITY COLLEGE DUBLIN   (Ireland)

Author keywords

Computational complexity; Computational topology; Graph isomorphism; NP

Indexed keywords

EID: 0034357817     PISSN: 02181959     EISSN: None     Source Type: Journal    
DOI: 10.1142/s0218195900000279     Document Type: Article

References (14)

1. D. Albers and G. Alexanderson (1985). Mathematical people - profiles and interviews. Birkhäuser.
2. T. K. Dey (1997). Optimal algorithms to detect null-homologous cycles on 2-manifolds. IJCGA 7:3, 167-174.
3. T. K. Dey, H. Edelsbrunner, and S. Guha (1999). Computational Topology. In Advances in Discrete and Computational Geometry (Contemporary mathematics 223), ed. B. Chazelle, J. E. Goodman, and R. Pollack, American Mathematical Society, 109-143.
4. T. K. Dey and H. Schipper (1994). A new technique to compute polygonal schema for 2-manifolds with application to null-homotopy detection. Proc. 10th Annual Symposium on Computational Geometry. Also Discrete Computational Geometry, 14, (1995), 93-110.
5. J. Köbler, U. Schöning, and J. Torán (1993). The graph isomorphism problem: its structural complexity. Progress in theoretical computer science, Birkhäuser.
6. S. Lefschetz (1949). Introduction to Topology. Princeton University Press.
7. R. Lyndon and P. Schupp (1977). Combinatorial group theory. Springer.
8. C. Ó Dúnking, C. Watt, D. Wilkins, and C-K Yap (1995). Miscellaneous topological algorithms. Report ALCOM-II-430 (1995) and TCDMATH 97-01 (1997).
9. E. Spanier (1966). Algebraic topology. McGraw Hill.
10. G. Vegter (1997). Computational Topology. In Handbook of Discrete and Computational Geometry, ed. J. E. Goodman and J. O'Rourke, CRC Press, 517-536.
11. G. Vegter and C-K Yap (1990). Computational complexity of combinatorial surfaces. Proc. 6th ACM Symposium on Computational Geometry, 102-111.
12. E. Whittlesey (1958). Classification of finite 2-complexes. Proc. AMS 9:6, 841-845.
13. E. Whittlesey (1960). Finite surfaces: a study of finite 2-complexes I: local structure. Mathematics Magazine 34:1, 11-22.
14. E. Whittlesey (1960). Finite surfaces: a study of finite 2-complexes II: the canonical form. Mathematics Magazine 34:2, 67-80.