Tudor Zamfirescu
email: tuzamfirescu@gmail.com, Updated: 26 March 2012

List of publications [List with citations]

1. On homothetic triangles (rom.), Gaz. Mat. Fiz. B 10 (1959) 20-21.
2. Properties of arbitrary triangles and their circumscribed circles (rom.), Gaz. Mat. Fiz. B 10 (1959) 346-350.
3. Applications of the three-perpendiculars-theorem (rom.), Gaz. Mat. Fiz. B 12 (1961) 146-150.
4. Isogonal lines and rotated angles in a triangle (rom., hung.), Gaz. Mat. Fiz. B 14 (1963) 207-214.
5. Geometric constructions with ruler, compass, and trisector (rom.), Stud. Cerc. Mat. 15 (1964) 405-411.
6. Note sur les hyperplans isogonaux d'un simplexe, Bull. Math. Soc. Sci. Math. Phys. R.P.R. 8 (1964) 317-320.
7. About the trisectors of a triangle (rom., hung.), Gaz. Mat. B 14 (1964) 483-485.
8. Sur quelques théorèmes de G. Szekeres et S. Marcus concernant les fonctions monotones et convexes, Rev. Roum. Math. Pures Appl. 10 (1965) 81-90.
9. Simplicial convexity in vector spaces, Bull. Math. Soc. Sci. Math. Phys. R.P.R. 9 (1965) 137-149.
10. On teaching the similarity of triangles (rom.) (with D. Papadopol), Gaz. Mat. A 70 (1965) 146-149.
11. On the fundamental lemmas of the Calculus of Variations, Rev. Roum. Math. Pures Appl. 10 (1965) 505-510.
12. Constructibility with ruler, compass, and trisector (rom.), Gaz. Mat. A 70 (1965) 204-213.
13. Un problème variationnel dans l'espace de Riemann (with T. Albu), Rev. Roum. Math. Pures Appl. 10 (1965) 1323-1330.
14. On the geodesics of a particular nondifferentiable manifold (rom.), Gaz. Mat. A 70 (1965) 96-99.
15. On teaching the ellipse (rom.), Gaz. Mat. A 70 (1965) 356-358.
16. Sur les fonctions du type K, Rev. Roum. Math. Pures Appl. 10 (1965) 1575-1582.
17. Caractérisations des hypersurfaces convexes, Bull. Math. Soc. Sci. Math. R.S.R. 9 (1965) 247-252.
18. Réductibilité et séries linéaires de corps convexes, L'Enseign. Math. 12 (1966) 57-67.
19. Constructions with ruler, compass, and trisector (rom.), Gaz. Mat. A 71 (1966) 9-18.
20. Familles de corps associés à un corps convexe, Bull. Math. Soc. Sci. Math. R.S.R. 10 (1966) 397-412.
21. On pencils of diameters in convex bodies (with A. S. Besicovitch), Rev. Roum. Math. Pures Appl. 11 (1966) 637-639.
22. Sur les corps associés à un corps convexe, Rev. Roum. Math. Pures Appl. 12 (1966) 727-735.
23. Sur les séries linéaires de corps convexes à frontières non différentiables et applications à la réductibilité, Rev. Roum. Math. Pures Appl. 11 (1966) 1015-1022.
24. Establishing Frenet's formulae (rom.) (with Ch. Zamfirescu), Gaz. Mat. A 71 (1966) 371-374.
25. Two characterizations of simplices (rom.), Gaz. Mat. A 71 (1966) 422-424.
26. Another kind of problems (rom.), Gaz. Mat. A 71 (1966) 462-468.
27. Sur la réductibilité des corps convexes, Math. Z. 95 (1967) 20-33.
28. Sur une fibration de l'espace des corps convexes (with P. Vincensini), C. R. Acad. Sci. Paris A-B 264 (1967) 510-511.
29. On l-simplicial convexity in vector spaces, Pacific J. Math. 22 (1967) 565-573.
30. Sur les familles continues de courbes I, Atti Accad. Naz. Lincei Rend. 42 (1967) 771-774.
31. Sur quelques questions de continuité liées à la réductibilité des corps convexes, Rev. Roum. Math. Pures Appl. 12 (1967) 989-998.
32. Sur les familles continues de courbes II, Atti Accad. Naz. Lincei Rend. 43 (1967) 13-17.
33. Reducibility of convex bodies, Proc. London Math. Soc. 17 (1967) 653-668.
34. Conditions nécessaires et suffisantes pur la réductibilité des voisinages des corps convexes, Rev. Roum. Math. Pures Appl. 12 (1967) 1523-1527.
35. Théorème dual concernant les familles continues des courbes, Bull. Cl. Sci. Acad. Roy. Belg. 53 (1967) 1385-1391.
36. Sur les familles continues de courbes III, Atti Accad. Naz. Lincei Rend. 44 (1968) 639-642.
37. Sur les familles continues de courbes IV, Atti Accad. Naz. Lincei Rend. 44 (1968) 753-758.
38. Sur les points multiples d'une famille continue de courbes, Rend. Circ. Mat. Palermo 18 (1969) 103-112.
39. On a theorem of Chartrand, Kapoor and Kronk, Rend. Circ. Mat. Palermo 18 (1969) 319-322.
40. Les courbes fermées doubles sans points triples associées à une famille continue, Israel J. Math. 7 (1969) 69-89.
41. On planar continuous families of curves, Canad. J. Math. 21 (1969) 513-530.
42. The simplicial convexity of convex surfaces, Rev. Roum. Math. Pures Appl. 14 (1969) 889-897.
43. Sur quelques généralisations par F. Browder du principe de contraction de Picard-Banach, Atti Accad. Naz. Lincei Rend. 49 (1970) 11-16.
44. On the line-connectivity of line-graphs, Math. Ann. 187 (1970) 305-309.
45. Convexité par rapport à une famille continue de courbes I, Atti Accad. Naz. Lincei Rend. 50 (1971) 625-629.
46. Area contractions in the plane, Rend. Sem. Mat. Univ. Padova 46 (1971) 49-52.
47. Convexité par rapport à une famille continue de courbes II, Atti Accad. Naz. Lincei Rend. 51 (1971) 127-132.
48. On k-path hamiltonian graphs and line-graphs, Rend. Sem. Mat. Univ. Padova 46 (1971) 385-389.
49. Trois caractérisations des ensembles convexes, Ist. Veneto Sci. Lett. Atti Cl. Sci. Mat. Natur. 130 (1971/72) 377-384.
50. A two-connected planar graph without concurrent longest paths, J. Combin. Theory B 13 (1972) 116-121.
51. Fix point theorems in metric spaces, Arch. Math. 23 (1972) 292-298.
52. On k-path hamiltonian line-graphs, Rend. Ist. Mat. Univ. Trieste 4 (1972) 123-129.
53. A theorem on fixed points, Atti Accad. Naz. Lincei Rend. 52 (1972) 832-834.
54. Generalizations of Banach's fixed point theorem, Atti Accad. Naz. Lincei Rend. 53 (1972) 329-333.
55. Sur les familles continues de courbes V, Atti Accad. Naz. Lincei Rend. 53 (1972) 505-507.
56. On k-path hamiltonian graphs, Boll. Unione Mat. Ital. 6 (1972) 61-66.
57. Some fixed point theorems in metric spaces, Atti Accad. Sci. Ist. Bologna 9 (1972) 86-93.
58. Two characterizations of the reducible convex bodies, Abh. Math. Sem. Univ. Hamburg 39 (1973) 69-75.
59. Propriétés géométriques des ensembles simplicialement convexes, Atii Accad. Sci. Ist. Bologna 10 (1973) 73-77.
60. A characterization of hamiltonian graphs, Atti Accad. Sci. Ist. Bologna 1 (1974) 39-40.
61. On spanning and expanding stars, Atti Accad. Sci. Ist. Bologna 1 (1974) 41-47.
62. Les Partages d'un Polygone Convexe en 4 Polygones Semblables au Premier (with G. Valette), J. Combin. Theory B 16 (1974) 1-16.
63. Fixed points and contraction theorems in metric spaces, Aequat. Math. 11 (1974) 138-142.
64. Metric spaces consisting of classes of convex bodies, Rend. Ist. Mat. Univ. Trieste 7 (1975) 128-136.
65. L'histoire et l'état présent des bornes connues pour $P^j_k$, $C^j_k$, $\overline{P}^{j}_k$ et $\overline{C}^j_k$, Cahiers du CERO 17 (1975) 427-439.
66. Graphen, in welchen je zwei Eckpunkte von einem längsten Weg vermieden werden, Ann. Univ. Ferrara 21 (1975) 17-24.
67. On longest paths and circuits in graphs, Math. Scand. 38 (1976) 211-239.
68. Quelques questions sur les familles continues de courbes, in "Convex Geometry", Vrije Universiteit Brussel (1977) 31-35.
69. Generalized contractions and fixed points in metric spaces, Rend. Sem. Mat. Univ. Politecn. Torino 36 (1978) 191-204.
70. Sulle famiglie continue di curve VII, Rend. Sem. Mat. Univ. Politecn. Torino 36 (1978) 183-190.
71. Spreads, Abh. Math. Sem. Univ. Hamburg 50 (1980) 238-253.
72. Rectangular convexity (with R. Blind and G. Valette), Geom. Dedicata 9 (1980) 317-327.
73. Nonhamiltonian cubic graphs with isomorphic faces embedded in planar manifolds, in "Zweites Kolloquium über Diskrete Geometrie", Universität Salzburg (1980) 236-244.
74. The curvature of most convex surfaces vanishes almost everywhere, Math. Z. 174 (1980) 135-139.
75. Nonexistence of curvature in most points of most convex surfaces, Math. Ann. 252 (1980) 217-219.
76. Inscribed and circumscribed circles to convex curves, Proc. Amer. Math. Soc. 80 (1980) 455-457.
77. Three small cubic graphs with interesting hamiltonian properties, J. Graph Theory 4 (1980) 287-292.
78. Most monotone functions are singular, Amer. Math. Monthly 88 (1981) 47-49.
79. On continuous families of curves VI, Geom. Dedicata 10 (1981) 205-217.
80. Intersections of tangent convex curves, J. Austral. Math. Soc. A 31 (1981) 456-458.
81. Bihomogeneously traceable oriented graphs (with S. Hahn), Rend. Sem. Mat. Univ. Politecn. Torino 39 (1981) 137-145.
82. Many endpoints and few interior points of geodesics, Invent. Math. 69 (1982) 253-257.
83. Shortness exponents for polytopes which are $k$-gonal modulo $n$ (with M. Schmidt), J. Combin. Theory B 33 (1982) 101-120.
84. Most convex mirrors are magic, Topology 21 (1982) 65-69.
85. Intersecting diameters in convex bodies, Ann. Discrete Math. 20 (1984) 311-316.
86. Convergence to fixed points in normed linear spaces, Math. Japon. 29 (1984) 63-67.
87. Typical monotone continuous functions, Arch. Math. 42 (1984) 151-156.
88. Points on infinitely many normals to convex surfaces, J. Reine Angew. Math. 350 (1984) 183-187.
89. Continuous families of smooth curves and Grünbaum's conjecture (with A. Zucco), Can. Math. Bull. 27 (1984) 345-350.
90. Ellipsoïdes et hyperboloïdes généralisés, Atti Accad. Sci. Torino Cl. Sci. Fis. Mat. Nat. 118 (1984) 314-324.
91. Interiors of uniform size in Steinitz's theorem (with J. Reay), in "Drittes Kolloquium über Diskrete Geometrie", Universität Salzburg (1985) 319-328.
92. Using Baire categories in Geometry, Rend. Sem. Mat. Univ. Politecn. Torino 43 (1985) 67-88.
93. Convex curves in gear, Acta Math. Hung. 46 (1985) 297-300.
94. Sur les graphes tracables les moins hamiltoniens (with A. Zucco), Math. Japon. 31 (1986) 493-502.
95. Nearly all convex bodies are smooth and strictly convex, Monatsh. Math. 103 (1987) 57-62.
96. Typical convex curves on convex surfaces, Monatsh. Math. 103 (1987) 241-247.
97. Typical convex sets of convex sets (with T. Schwarz), J. Austral. Math. Soc. 43 (1987) 287-290.
98. A characterization theorem for certain unions of two starshaped sets in $\rm I\!R^2$ (with M. Breen), Geom. Dedicata 6 (1987) 59-103.
99. How many sets are porous?, Proc. Amer. Math. Soc. 100 (1987) 383-387.
100. Typical starshaped sets, Aequat. Math. 36 (1988) 188-200.
101. Curvature properties of typical convex surfaces, Pacific J. Math. 131 (1988) 191-207.
102. An infinitesimal version of the Besicovitch-Danzer characterization of the circle, Geom. Dedicata 27 (1988) 209-212.
103. Too long shadow boundaries, Proc. Amer. Math. Soc. 103 (1988) 587-590.
104. Ghosts are scarce (with A. Volcic), J. London Math. Soc. 40 (1989) 171-178.
105. Description of most starshaped surfaces, Math. Proc. Cambridge Phil. Soc. 106 (1989) 245-251.
106. Porosity in Convexity, Real Analysis Exch. 15 (1989/90) 424-436.
107. Nondifferentiability properties of the nearest point mapping, J. Analyse Math. 54 (1990) 90-98.
108. Diameters in typical convex bodies (with I. Bárány), Canad. J. Math. 42 (1990) 50-61.
109. Generic properties of compact starshaped sets (with P. Gruber), Proc. Amer. Math. Soc. 108 (1990) 207-214.
110. The nearest point mapping is single valued nearly everywhere, Archiv Math. 54 (1990) 563-566.
111. Baire categories in Convexity, Atti Sem. Mat. Fis. Univ. Modena 39 (1991) 139-164.
112. On two conjectures of Franz Hering about convex surfaces, Discrete Comput. Geom. 6 (1991) 171-180.
113. Every arrangement extends to a spread (with J. Goodman, R. Pollack and R. Wenger), in "Proc. Third Annual Canad. Conf. on Comput. Geom." (1991) 191-194.
114. Conjugate points on convex surfaces, Mathematika 38 (1991) 312-317.
115. Hamiltonian properties of grid graphs (with Ch. Zamfirescu), SIAM J. Discrete Math. 5 (1992) 564-570.
116. The level set structure of nearly all real continuous functions (with P. M. Gandini), Rend. Circ. Mat. Palermo, Suppl. 39 (1992) 407-414.
117. Long geodesics on convex surfaces, Math. Ann. 293 (1992) 109-114.
118. There is a universal topological plane (with J. Goodman, R. Pollack and R. Wenger), in "Proc. Eighth Annual ACM Symposium on Comput. Geometry, Berlin, June 1992", 171-176.
119. Segments et géodésiques sur les surfaces convexes typiques, in "Travaux des Journées de Géométrie Convexe et Optimisation, Valencienne - Liège, 1992".
120. Invariance of convex sets under linear transformations (with G. Sierksma and V. Soltan), Lin. and Multilin. Algebra 35 (1993) 37-47.
121. A generic view on the theorems of Brouwer and Schauder, Math. Z. 213 (1993) 387-392.
122. On the curvatures of convex curves of constant width, Atti Sem. Mat. Fis. Univ. Modena 42 (1994) 253-256.
123. Every arrangement extends to a spread (with J. Goodman, R. Pollack and R. Wenger), Combinatorica 14 (1994) 301-306.
124. Arrangements and topological planes (with J. Goodman, R. Pollack and R. Wenger), Amer. Math. Monthly 101 (1994) 866-878.
125. A characterization of 3-dimensional convex sets with an infinite X-ray number (with K. Bezdek), in "Coll. Math. Soc. J. Bolyai: 63. Intuitive Geometry, Szeged, 1991" (1994) 33-38.
126. For most Convex Discs Thinnest Covering is not Lattice-like (with G. Fejes-Tóth), in "Coll. Math. Soc. J. Bolyai: 63. Intuitive Geometry, Szeged, 1991" (1994) 105-108.
127. On some questions about convex surfaces, Math. Nachrichten 172 (1995) 313-324.
128. How to hold a convex body?, Geom. Dedicata 54 (1995) 313-316.
129. Most homeomorphisms of the circle are semiperiodic (with G. Craciun, P. Horja and M. Prunescu), Archiv Math. 64 (1995) 452-458.
130. How do convex bodies sit?, Mathematika 42 (1995) 178-181.
131. A characterization of infinite, bipartite Toeplitz graphs (with R. Euler and H. Le Verge), in: "Combinatorics and Graph Theory '95" 1 (1995) 119-130.
132. From melons to bananas (rom.), Gaz. Mat. 100 (1995) 487-491.
133. Géodésiques et lieux de coupure sur les surfaces convexes typiques, Analele St. Univ. Ovidius Constanta 3 (1995) 167-173.
134. Points joined by three shortest paths on convex surfaces, Proc. Amer. Math. Soc. 123 (1995) 3513-3518.
135. Conjugate points and closed geodesic arcs on convex surfaces, Geom. Dedicata 62 (1996) 99-105.
136. Hamiltonian properties of Toeplitz graphs (with R. van Dal, G. Tijssen, Zs. Tuza, J. van der Veen and Ch. Zamfirescu), Discrete Math. 159 (1996) 69-81.
137. Intersections of longest cycles in grid graphs (with B. Menke and Ch. Zamfirescu), J. Graph Theory 25 (1997) 37-52.
138. Closed geodesic arcs in Aleksandrov spaces, Rend. Circ. Mat. Palermo Suppl. 50 (1997) 425-430.
139. The dimension print of most convex surfaces (with G. Craciun), Monatsh. Math. 123 (1997) 203-207.
140. Convex bodies instead of needles in Buffon's experiment (with A. Aleman and M. Stoka), Geom. Dedicata 67 (1997) 301-308.
141. Farthest points on convex surfaces, Math. Z. 226 (1997) 623-630.
142. The typical number is a lexicon (with C. Calude), New Zealand J. Math. 27 (1998) 7-13.
143. Extreme points of the distance function on convex surfaces, Trans. Amer. Math. Soc. 350 (1998) 1395-1406.
144. Cardinality of the metric projection on typical compact sets in Hilbert spaces (with F. De Blasi), Math. Proc. Cambridge Phil. Soc. 126 (1999) 37-44.
145. Most numbers obey no probability laws (with C. Calude), Publ. Math. Debrecen 54 Suppl. (1999) 619-623.
146. Tiling the pentagon (with R. Ding and D. Schattschneider), Discrete Math. 221 (2000) 113-124.
147. Hamiltonian Cycles in T--Graphs (with J. Reay), Discrete Comput. Geom. 24 (2000) 497-502.
148. On a theorem of Deutsch and Singer, Set-Valued Analysis 8, 3 (2000) 295-297.
149. Dense ambiguous loci and residual cut loci, Rend. Circ. Mat. Palermo Suppl. 65 (2000) 203-208.
150. Acute triangulations (with Th. Hangan and J. Itoh), Bull. Math. Soc. Sc. Math. Roumanie 43, 3-4 (2000) 279-286.
151. Intersecting longest paths or cycles: a short survey, Analele Univ. Craiova, Ser. Mat.-Inf., 28 (2001) 1-9.
152. On the length of the cut locus on surfaces (with J. Itoh), Rend. Circ. Mat. Palermo Suppl. 70 (2002) 53-58.
153. Acute triangulations of triangles on the sphere (with J. Itoh), Rend. Circ. Mat. Palermo Suppl. 70 (2002) 59-64.
154. Acute triangulations: a short survey, Proc. 6th Annual Conference Romanian Soc. Math. Sciences I (2002) 10-18.
155. Total curvature and spiralling shortest paths (with I. Bárány and K. Kuperberg), Discrete Comp. Geom. 30 (2003) 167-176.
156. Qualitative infinite version of Erdös' problem about empty polygons, in: Goodman-Pollack Festschrift (2003) 849-853.
157. Acute triangulations of the regular icosahedral surface (with J. Itoh), Discrete Comput. Geom. 31 (2004) 197-206.
158. On the cut locus in Alexandrov spaces and applications to convex surfaces, Pacific J. Math. 217 (2004) 375-386.
159. Extending Stechkin's theorem and beyond, Abstract Appl. Analysis 2004 (2004) 255-258.
160. On the length of the cut locus for finitely many points (with J. Itoh), Adv. Geom., 5 (2005) 97-106.
161. The strange aspect of most compacta, J. Math. Soc. Japan 57, 3 (2005) 701-708.
162. On the perimeter of a triangle in a Minkowski plane (with H. Maehara), Amer. Math. Monthly 112 (2005) 521-522.
163. Simplices passing through a hole (with J. Itoh), J. Geom. 83 (2005) 65-70.
164. Symmetry and the farthest point mapping on convex surfaces (with C. Vîlcu), Adv. Geom. 6 (2006) 379-387.
165. On the number of shortest paths between points on manifolds, Rend. Circ. Mat. Palermo Suppl. 77 (2006) 643-647.
166. Tetrahedra passing through a circular or square hole (with J. Itoh and Y. Tanoue), Rend. Circ. Mat. Palermo Suppl. 77 (2006) 349-354.
167. On the critical points of a Riemannian surface, Adv. Geom. 6 (2006) 493-500.
168. Acute triangulations of the regular dodecahedral surface (with J. Itoh), Eur. J. Comb. 28 (2007) 1072-1086.
169. Multiple farthest points on Alexandrov surfaces (with C. Vîlcu), Adv. Geom. 7 (2007) 83-100.
170. Acute triangulations of flat Möbius strips (with L. Yuan), Discrete Comput. Geom. 37 (2007) 671-676.
171. A planar hypohamiltonian graph on 48 vertices (with C. T. Zamfirescu), J. Graph Theory 55, 4 (2007) 338-342.
172. Hamiltonicity of topological grid graphs (with Ch. Zamfirescu), J. Universal Comp. Sci. 13 (2007) 1791-1800.
173. Antipodal trees and mutually critical points on surfaces, Adv. Geom. 7 (2007) 385-390.
174. Viewing and realizing diameters, J. Geom. 88, 1-2 (2008) 194-199.
175. Minkowski's theorem for arbitrary convex sets, Eur. J. Comb. 29 (2008) 1956-1958.
176. Polytopes passing through circles, Periodica Math. Hung. 57 (2008) 227-230.
177. Some remarks on simple closed geodesics of surfaces with ends (with J. Itoh and F. Ohtsuka), Bull. Math. Soc. Sc. Math. Roumanie 52, 3 (2009) 311-319.
178. Hamiltonian properties of generalized Halin graphs (with S. Malik and A. M. Qureshi), Can. Math. Bull. 52 (2009) 416-423.
179. The Majority in Convexity. Part I: Smoothness, Curvature and Consequences, Editura Univ. Bucuresti (2009).
180. Hamiltonian Connectedness in Directed Toeplitz Graphs (with S. Malik), Bull. Math. Soc. Sc. Math. Roumanie 53, 2 (2010) 145-156.
181. Non-expanding mappings in graphs, Adv. Appl. Math. Sci. 6 (2010) 23-32.
182. Pushing convex and other bodies through rings and holes, An. Univ. Vest Timisoara, Ser. Mat.-Inf. 48, 1-2 (2010) 299-306.
183. Paolo Pizzetti: The forgotten originator of triangle comparison geometry (with V. Pambuccian), Historia Math. 38, 3 (2011) 415-422.
184. Moderation of convex bodies (with J. Itoh), J. Convex Analysis 18, 3 (2011) 865-872.
185. Hamiltonian properties of generalized pyramids (with C. T. Zamfirescu), Math. Nachr. 284, 13 (2011) 1739-1747.
186. Right triangular convexity, to appear.
187. Critical points on convex surfaces, to appear.