-
1
-
-
84976826673
-
Voronoi diagrams - A survey of a fundamental geometric data structure
-
1. F. AURENHAMMER, Voronoi diagrams - A survey of a fundamental geometric data structure, ACM Comput. Surveys 23, No. 3 (1991), 345-405.
-
(1991)
ACM Comput. Surveys
, vol.23
, Issue.3
, pp. 345-405
-
-
Aurenhammer, F.1
-
2
-
-
0011573319
-
Hamiltonian circuits on 3-polytopes
-
2. D. BARNETTE AND E. JUCOVIČ, Hamiltonian circuits on 3-polytopes, J. Combin. Theory 9, No. 1 (1970), 54-59.
-
(1970)
J. Combin. Theory
, vol.9
, Issue.1
, pp. 54-59
-
-
Barnette, D.1
Jucovič, E.2
-
3
-
-
0011695724
-
Inductive definition of two restricted classes of triangulations
-
3. V. BATAGELJ, Inductive definition of two restricted classes of triangulations, Discrete Math. 52, No. 2-3 (1984), 113-121.
-
(1984)
Discrete Math.
, vol.52
, Issue.2-3
, pp. 113-121
-
-
Batagelj, V.1
-
4
-
-
38249025072
-
An inductive definition of the class of 3-connected quadrangulations of the plane
-
4. V. BATAGELJ, An inductive definition of the class of 3-connected quadrangulations of the plane, Discrete Math. 78, No. 1-2 (1989), 45-53.
-
(1989)
Discrete Math.
, vol.78
, Issue.1-2
, pp. 45-53
-
-
Batagelj, V.1
-
6
-
-
84968468423
-
Generation of triangulations of the sphere
-
6. R. BOWEN AND S. FISK, Generation of triangulations of the sphere, Math. Comp. 21, No. 98 (1967), 250-252.
-
(1967)
Math. Comp.
, vol.21
, Issue.98
, pp. 250-252
-
-
Bowen, R.1
Fisk, S.2
-
7
-
-
0011576050
-
Planarity of graphs with given degrees of vertices
-
7. V. CHVÁTAL, Planarity of graphs with given degrees of vertices, Nieuw Arch. Wisk. 17, (1969), 47-60.
-
(1969)
Nieuw Arch. Wisk.
, vol.17
, pp. 47-60
-
-
Chvátal, V.1
-
8
-
-
36949016322
-
Tough graphs and Hamiltonian circuits
-
8. V. CHVÁTAL, Tough graphs and Hamiltonian circuits, Discrete Math. 5 (1973), 215-228.
-
(1973)
Discrete Math.
, vol.5
, pp. 215-228
-
-
Chvátal, V.1
-
9
-
-
0023346698
-
A non-Hamiltonian, nondegenerate Delaunay triangulation
-
9. M. B. DILLENCOURT, A non-Hamiltonian, nondegenerate Delaunay triangulation, Inform. Process. Lett. 25, No. 3 (1987), 149-151.
-
(1987)
Inform. Process. Lett.
, vol.25
, Issue.3
, pp. 149-151
-
-
Dillencourt, M.B.1
-
10
-
-
38249023029
-
An upper bound on the shortness exponent of inscribable graphs
-
10. M. B. DILLENCOURT, An upper bound on the shortness exponent of inscribable graphs, J. Combin. Theory Ser. B 46, No. 1 (1989), 66-83.
-
(1989)
J. Combin. Theory Ser. B
, vol.46
, Issue.1
, pp. 66-83
-
-
Dillencourt, M.B.1
-
11
-
-
0000134659
-
Toughness and Delaunay triangulations
-
11. M. B. DILLENCOURT, Toughness and Delaunay triangulations, Discrete Comput. Geom. 5, No. 6 (1990), 575-601.
-
(1990)
Discrete Comput. Geom.
, vol.5
, Issue.6
, pp. 575-601
-
-
Dillencourt, M.B.1
-
12
-
-
0011576051
-
An upper bound on the shortness exponent of 1-tough, maximal planar graphs
-
12. M. B. DILLENCOURT, An upper bound on the shortness exponent of 1-tough, maximal planar graphs, Discrete Math. 90, No. 1 (1991), 93-97.
-
(1991)
Discrete Math.
, vol.90
, Issue.1
, pp. 93-97
-
-
Dillencourt, M.B.1
-
13
-
-
84987492884
-
On the toughness index of planar graphs
-
13. M. B. DILLENCOURT, On the toughness index of planar graphs, J. Graph Theory 18, No. 1 (1994), 103-107.
-
(1994)
J. Graph Theory
, vol.18
, Issue.1
, pp. 103-107
-
-
Dillencourt, M.B.1
-
14
-
-
0026962940
-
A linear-time algorithm for testing the inscribability of trivalent polyhedra
-
Proceedings Eighth Annual ACM Symposium on Computational Geometry, Berlin, Germany, June to appear
-
14. M. B. DILLENCOURT AND W. D. SMITH, A linear-time algorithm for testing the inscribability of trivalent polyhedra, in "Proceedings Eighth Annual ACM Symposium on Computational Geometry, Berlin, Germany, June 1992," pp. 177-185; Internat. J. Comput. Geom. Appl., to appear.
-
(1992)
Internat. J. Comput. Geom. Appl.
, pp. 177-185
-
-
Dillencourt, M.B.1
Smith, W.D.2
-
15
-
-
0000774468
-
A simple method for resolving degeneracies in Delaunay triangulations
-
Lund, Sweden, July Lecture Notes in Computer Science, Springer-Verlag, New York/Berlin
-
15. M. B. DILLENCOURT AND W. D. SMITH, A simple method for resolving degeneracies in Delaunay triangulations, in "Automata, Languages, and Programming: Proceedings, 20th International Colloquium, Lund, Sweden, July 1993," pp. 177-188; Lecture Notes in Computer Science, Vol. 700, Springer-Verlag, New York/Berlin.
-
(1993)
Automata, Languages, and Programming: Proceedings, 20th International Colloquium
, vol.700
, pp. 177-188
-
-
Dillencourt, M.B.1
Smith, W.D.2
-
16
-
-
0001858266
-
Graph-theoretical conditions for inscribability and Delaunay realizability
-
Proceedings, Sixth Canadian Conference on Computational Geometry, Saskatoon, Saskatchewan, August to appear
-
16. M. B. DILLENCOURT AND W. D. SMITH, Graph-theoretical conditions for inscribability and Delaunay realizability, in "Proceedings, Sixth Canadian Conference on Computational Geometry, Saskatoon, Saskatchewan, August 1994," pp. 287-292; Discrete math., to appear.
-
(1994)
Discrete Math.
, pp. 287-292
-
-
Dillencourt, M.B.1
Smith, W.D.2
-
17
-
-
85029967366
-
-
private communication
-
17. A. J. W. DUIJVESTIJN, private communication.
-
-
-
Duijvestijn, A.J.W.1
-
18
-
-
84966240187
-
The number of polyhedral (3-connected planar) graphs
-
18. A. J. W. DUIJVESTIJN AND P. J. FEDERICO, The number of polyhedral (3-connected planar) graphs, Math. Comp. 37, No. 156 (1981), 523-532.
-
(1981)
Math. Comp.
, vol.37
, Issue.156
, pp. 523-532
-
-
Duijvestijn, A.J.W.1
Federico, P.J.2
-
20
-
-
0001075726
-
On the enumeration of polyhedra
-
20. P. ENGEL, On the enumeration of polyhedra, Discrete Math. 41, No. 2 (1982), 215-218.
-
(1982)
Discrete Math.
, vol.41
, Issue.2
, pp. 215-218
-
-
Engel, P.1
-
21
-
-
0000552523
-
Enumeration of polyhedra: The number of 9-hedra
-
21. P. J. FEDERICO, Enumeration of polyhedra: The number of 9-hedra, J. Combin. Theory 7, No. 2 (1969), 155-161.
-
(1969)
J. Combin. Theory
, vol.7
, Issue.2
, pp. 155-161
-
-
Federico, P.J.1
-
22
-
-
0004291883
-
-
Wiley Interscience, New York
-
22. B. GRÜNBAUM, "Convex Polytopes," Wiley Interscience, New York, 1967.
-
(1967)
Convex Polytopes
-
-
Grünbaum, B.1
-
23
-
-
0000353323
-
Shortness exponents of families of graphs
-
23. B. GRÜNBAUM AND H. WALTHER, Shortness exponents of families of graphs, J. Combin. Theory 14, No. 3 (1973), 364-385.
-
(1973)
J. Combin. Theory
, vol.14
, Issue.3
, pp. 364-385
-
-
Grünbaum, B.1
Walther, H.2
-
24
-
-
84967712803
-
A characterization of convex hyperbolic polyhedra and of convex polyhedra inscribed in the sphere
-
Erratum, Bull. Amer. Math. Soc. 28, No. 1 (1993), 213
-
24. C. D. HODGSON, I. RIVIN, AND W. D. SMITH, A characterization of convex hyperbolic polyhedra and of convex polyhedra inscribed in the sphere, Bull. Amer. Math. Soc. 27, No. 2 (1992), 246-251; Erratum, Bull. Amer. Math. Soc. 28, No. 1 (1993), 213.
-
(1992)
Bull. Amer. Math. Soc.
, vol.27
, Issue.2
, pp. 246-251
-
-
Hodgson, C.D.1
Rivin, I.2
Smith, W.D.3
-
25
-
-
0011696595
-
Hamiltonian cycles in cubic 3-connected bipartite planar graphs
-
25. D. A. HOLTON, B. MANVEL, AND B. D. MCKAY, Hamiltonian cycles in cubic 3-connected bipartite planar graphs, J. Combin. Theory Ser. B 38, No. 3 (1985), 279-297.
-
(1985)
J. Combin. Theory Ser. B
, vol.38
, Issue.3
, pp. 279-297
-
-
Holton, D.A.1
Manvel, B.2
McKay, B.D.3
-
26
-
-
38249028405
-
The smallest non-Hamiltonian 3-connected cubic planar graphs have 38 vertices
-
26. D. A. HOLTON AND B. D. MACKAY, The smallest non-Hamiltonian 3-connected cubic planar graphs have 38 vertices, J. Combin. Theory Ser. B 45, No. 3 (1988), 305-319.
-
(1988)
J. Combin. Theory Ser. B
, vol.45
, Issue.3
, pp. 305-319
-
-
Holton, D.A.1
MacKay, B.D.2
-
27
-
-
0000199365
-
A V log V algorithm for isomorphism of triconnected planar graphs
-
27. J. E. HOPCROFT AND R. E. TARJAN, A V log V algorithm for isomorphism of triconnected planar graphs, J. Comput. System Sci. 7, No. 3 (1973), 323-331.
-
(1973)
J. Comput. System Sci.
, vol.7
, Issue.3
, pp. 323-331
-
-
Hopcroft, J.E.1
Tarjan, R.E.2
-
28
-
-
0011635154
-
Effectifs des diverses séquences de polyèdres 3-valents convexes ayant moins de 11 faces et de polyèdres sans face triangulaire ayant de 11 à 14 faces
-
28. M. HUCHER, G. SAVATIER, AND J. GROLIER, Effectifs des diverses séquences de polyèdres 3-valents convexes ayant moins de 11 faces et de polyèdres sans face triangulaire ayant de 11 à 14 faces, Discrete Appl. Math. 2, No. 3 (1980), 255-257.
-
(1980)
Discrete Appl. Math.
, vol.2
, Issue.3
, pp. 255-257
-
-
Hucher, M.1
Savatier, G.2
Grolier, J.3
-
29
-
-
0011639623
-
Traveling salesman cycles are not always subgraphs of Voronoi duals
-
29. V. KANTABUTRA, Traveling salesman cycles are not always subgraphs of Voronoi duals, Inform. Process. Lett. 16, No. 1 (1983), 11-12.
-
(1983)
Inform. Process. Lett.
, vol.16
, Issue.1
, pp. 11-12
-
-
Kantabutra, V.1
-
30
-
-
0003657590
-
-
Addison-Wesley, Reading, MA
-
30. D. E. KNUTH, "The Art of Computer Programming, Vol. 3, Sorting and Searching," Addison-Wesley, Reading, MA, 1973.
-
(1973)
The Art of Computer Programming, Vol. 3, Sorting and Searching
-
-
Knuth, D.E.1
-
31
-
-
52449147843
-
Some problems in computational geometry
-
31. C. MATHIEU, Some problems in computational geometry, Algorithmica 2, No. 1 (1987), 131-133.
-
(1987)
Algorithmica
, vol.2
, Issue.1
, pp. 131-133
-
-
Mathieu, C.1
-
32
-
-
0000019790
-
A 1-tough Nonhamiltonian maximal planar graph
-
32. T. NISHIZEKI, A 1-tough Nonhamiltonian maximal planar graph, Discrete Math. 30, No. 3 (1980), 305-307.
-
(1980)
Discrete Math.
, vol.30
, Issue.3
, pp. 305-307
-
-
Nishizeki, T.1
-
33
-
-
0011635156
-
The computational geometry column No. 2
-
33. J. O'ROURKE, The computational geometry column No. 2, Comput. Graphics 21, No. 2 (1987), 155-157.
-
(1987)
Comput. Graphics
, vol.21
, Issue.2
, pp. 155-157
-
-
O'Rourke, J.1
-
34
-
-
33646857596
-
Problems
-
A. Hajnal, R. Rado, and V. T. Sós, Eds., North-Holland, Amsterdam
-
34. M. D. PLUMMER, Problems, in "Infinite and Finite Sets, Vol. III" (A. Hajnal, R. Rado, and V. T. Sós, Eds.), pp. 1549-1550, North-Holland, Amsterdam, 1973.
-
(1973)
Infinite and Finite Sets
, vol.3
, pp. 1549-1550
-
-
Plummer, M.D.1
-
38
-
-
0002435362
-
On geometry of convex ideal polyhedra in hyperbolic 3-space
-
38. I. RIVIN, On geometry of convex ideal polyhedra in hyperbolic 3-space, Topology 32, No. 1 (1993), 87-92.
-
(1993)
Topology
, vol.32
, Issue.1
, pp. 87-92
-
-
Rivin, I.1
-
39
-
-
0041758580
-
-
NEC Research Institute, Princeton, NJ
-
39. I. RIVIN AND W. D. SMITH, Inscribable graphs, manuscript, NEC Research Institute, Princeton, NJ, 1991.
-
(1991)
Inscribable Graphs, Manuscript
-
-
Rivin, I.1
Smith, W.D.2
-
40
-
-
0011639350
-
Connectivity, genus, and the number of components in vertex-deleted subgraphs
-
40. E. F. SCHMEIDEL AND G. S. BLOOM, Connectivity, genus, and the number of components in vertex-deleted subgraphs, J. Combin. Theory Ser. B 27, (1979), 198-201.
-
(1979)
J. Combin. Theory Ser. B
, vol.27
, pp. 198-201
-
-
Schmeidel, E.F.1
Bloom, G.S.2
-
41
-
-
0004229086
-
-
Ph.D. thesis, Yale University, New Haven, CT
-
41. M. I. SHAMOS, "Computational geometry," Ph.D. thesis, Yale University, New Haven, CT, 1978.
-
(1978)
Computational Geometry
-
-
Shamos, M.I.1
-
42
-
-
0011576052
-
-
NEC Research Institute, Princeton, NJ
-
42. W. D. SMITH, On the enumeration of inscribable graphs, manuscript, NEC Research Institute, Princeton, NJ, 1991.
-
(1991)
On the Enumeration of Inscribable Graphs, Manuscript
-
-
Smith, W.D.1
-
43
-
-
0000449158
-
4-Connected projective-planar graphs are Hamiltonian
-
43. R. THOMAS AND X. YU, 4-connected projective-planar graphs are Hamiltonian, J. Combin. Theory Ser. B 62, No. 1 (1994), 114-132.
-
(1994)
J. Combin. Theory Ser. B
, vol.62
, Issue.1
, pp. 114-132
-
-
Thomas, R.1
Yu, X.2
-
44
-
-
0011686721
-
Planar and infinite hypohamiltonian and hypotraceable graphs
-
44. C. THOMASSEN, Planar and infinite hypohamiltonian and hypotraceable graphs, Discrete Math. 14, No. 4 (1976), 377-389.
-
(1976)
Discrete Math.
, vol.14
, Issue.4
, pp. 377-389
-
-
Thomassen, C.1
-
45
-
-
84986533292
-
A theorem on paths in planar graphs
-
45. C. THOMASSEN, A theorem on paths in planar graphs, J. Graph Theory 7, No. 2 (1983), 169-176.
-
(1983)
J. Graph Theory
, vol.7
, Issue.2
, pp. 169-176
-
-
Thomassen, C.1
-
47
-
-
71049134816
-
A theorem on planar graphs
-
47. W. T. TUTTE, A theorem on planar graphs, Trans. Amer. Math. Soc. 82 (1956), 99-116.
-
(1956)
Trans. Amer. Math. Soc.
, vol.82
, pp. 99-116
-
-
Tutte, W.T.1
-
49
-
-
0002805445
-
Bridges and Hamiltonian circuits in planar graphs
-
49. W. T. TUTTE, Bridges and Hamiltonian circuits in planar graphs, Aequationes Math. 15 (1977), 1-33.
-
(1977)
Aequationes Math.
, vol.15
, pp. 1-33
-
-
Tutte, W.T.1
|