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Tudor Zamfirescu

Email: tzamfirescu@sms.edu.pk

Course: Graph Theory and Computational Geometry

Publications

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 th´eor`emes 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 probl`eme 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 Caract´erisations des surfaces convexes, Bull. Math. Soc. Sci. Math. R.S.R. 9 (1965)
247-252.
18 R´eductibilit´e et s´eries lin´eaires 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 associ´es `a 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 associ´es `a un corps convexe, Rev. Roum. Math. Pures Appl. 12 (1966)
727-735.
23 Sur les s´eries lin´eaires de corps convexes `a fronti`eres non diff´erentiables et applications
`a la r´eductibilit´e, 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 r´eductibilit´e 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 continuit´e li´ees `a la r´eductibilit´e 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 n´ecessaires et suffisantes pur la r´eductibilit´e des voisinages des corps
convexes, Rev. Roum. Math. Pures Appl. 12 (1967) 1523-1527.
35 Th´eor`eme 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 ferm´ees doubles sans points triples associ´ees `a 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 g´en´eralisations 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 Convexit´e par rapport `a 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 Convexit´e par rapport `a 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 caract´erisations 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 Propri´et´es g´eom´etriques 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’´etat pr´esent des bornes connues pour Pj
k , Cj k, P j k et C j k, Cahiers du CERO 17 (1975) 427-439.
66 Graphen, in welchen je zwei Eckpunkte von einem l¨angsten 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 V II, 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 ¨uber Diskrete Geometrie“, Universit¨at 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 V I, 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 Gr¨unbaum’s conjecture (with A. Zucco),
Can. Math. Bull. 27 (1984) 345-350.
90 Ellipso¨ides et hyperbolo¨ides g´en´eralis´es, 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 Kolloquiumuber Diskrete Geometrie“, Universit¨at 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 tra¸cables 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 IR2 (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 Gosts are scarce (with A. Vol?ci?c), 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. B´ar´any), 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 g´eod´esiques sur les surfaces convexes typiques, in
” Travaux des Journ´ees de G´eom´etrie Convexe et Optimisation, Valencienne – Li`ege, 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, Combinatorica (with J. Goodman, R. Pollack
and R. Wenger), 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 disks thinnest covering is not lattice–like (with G. Fejes-T´oth), 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. Cr?aciun, 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 the melons to bananas (rom.), Gaz. Mat. 100 (1995) 487-491.
133 G´eod´esiques et lieux de coupure sur les surfaces convexes typiques, Analele St. Univ.
Ovidius Constant¸a 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. Cr?aciun), 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 Comp. Geometry 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. B´ar´any and K. Kuperberg),
Discrete Comp. Geometry 30 (2003) 167-176.
156 Qualitative infinite version of Erd¨os’ problem about empty polygons, in: Goodman-
Pollack Festschrift (2003) 849-853.
157 Acute triangulations of the regular icosahedral surface (with J. Itoh), Discrete
Comp. Geometry 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. Geometry,
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. Geometry 83 (2005) 65-70.
164 Symmetry and the farthest point mapping on convex surfaces (with C. Vˆilcu), Adv.
Geometry 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. Geometry, to appear.
168 Hamiltonicity of topological grid graphs (with Ch. Zamfirescu), to appear.
169 Viewing and realizing diameters, J. Geometry, to appear.
170 Antipodal trees and mutually critical points on surfaces, Adv. Geometry, to appear.
171 Critical points on convex surfaces, to appear.
172 Acute triangulations of the regular dodecahedral surface (with J. Itoh), European
J. Math., to appear.

List of citations

The bibliographic numbers refer to the List of Publications.
[8] x2
Bereanu B., Revue Roum. Math. Pures Appl. 14 (1969) p. 1077.
Roberts A., Varberg D., Convex Functions, Acad. Press (1973).
[16]
Bereanu B., Revue Roum. Math. Pures Appl. 14 (1969) p. 1077.
[18] x2
Voiculescu D., Stud. Cerc. Mat. 18 (1966) pp. 742, 745.
Schneider R., Convex Bodies: the Brunn-Minkowski Theory, Cambridge Univ. Press
(1993).
[21] x2
Hann K., Geom. Dedicata 48 (1993) p. 54.
Hann K., Amer. Math. Monthly 103 (1996) p. 897.
[22] x2
Voiculescu D., Stud. Cerc. Mat. 18 (1966) pp. 743, 745.
Schneider R., Convex Bodies: the Brunn-Minkowski Theory, Cambridge Univ. Press
(1993).
[23]
Schneider R., Convex Bodies: the Brunn-Minkowski Theory, Cambridge Univ. Press
(1993).
[25]
Heil E., Martini H., Handbook of Convex Geometry, Elsevier Sci. Publ. (1993) p. 347.
[27]
Schneider R., Convex Bodies: the Brunn-Minkowski Theory, Cambridge Univ. Press
(1993).
[28]
Schneider R., Convex Bodies: the Brunn-Minkowski Theory, Cambridge Univ. Press
(1993).
[29]
Bair J., Fourneau R., Etude g´eom´etrique des espaces vectoriels, LNM 489 Springer-
Verlag (1975).
[30] x5
Gr¨unbaum B., Arrangements and Spreads, Reg. Conf. Series in Math., 10 (1972),
AMS.
Ivan C., Rend. Accad. Naz. Lincei 55 (1973) pp. 46, 49.
Zucco A., Rend. Accad. Naz. Lincei 66 (1979) pp. 372, 376.
Zucco A., Rend. Accad. Naz. Lincei 67 (1979) p. 103.
Zucco A., Rend. Accad. Naz. Lincei 68 (1980) p. 419.
[31]
Schneider R., Convex Bodies: the Brunn-Minkowski Theory, Cambridge Univ. Press
(1993).
[32] x5
Gr¨unbaum B., Arrangements and Spreads, Reg. Conf. Series in Math., 10 (1972),
AMS.
Ivan C., Rend. Accad. Naz. Lincei 55 (1973) pp. 46, 47, 49.
Zucco A., Rend. Accad. Naz. Lincei 66 (1979) pp. 372, 373, 376.
Zucco A., Rend. Accad. Naz. Lincei 67 (1979) pp. 99, 100, 103.
Zucco A., Rend. Accad. Naz. Lincei 68 (1980) pp. 417, 419.
[33] x2
Voiculescu D., Stud. Cerc. Mat. 18 (1966) pp. 742, 743, 745.
Schneider R., Convex Bodies: the Brunn-Minkowski Theory, Cambridge Univ. Press
(1993).
[34]
Schneider R., Convex Bodies: the Brunn-Minkowski Theory, Cambridge Univ. Press
(1993).
[35]
Gr¨unbaum B., Arrangements and Spreads, Reg. Conf. Series in Math., 10 (1972),
AMS.
[36]
Gr¨unbaum B., Arrangements and Spreads, Reg. Conf. Series in Math., 10 (1972),
AMS.
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Gr¨unbaum B., Arrangements and Spreads, Reg. Conf. Series in Math., 10 (1972),
AMS.
[38]
Zucco A., Rend. Accad. Naz. Sci. XL 10 (1986) pp. 172, 176.
[40] x2
Gr¨unbaum B., Arrangements and Spreads, Reg. Conf. Series in Math., 10 (1972),
AMS.
Watson K.S., Can. J. Math. 32 (1980) p. 219.
[41] x6
Gr¨unbaum B., Arrangements and Spreads, Reg. Conf. Series in Math., 10 (1972),
AMS.
Douglas V., J. Reine Ang. Math. 283 (1976) p. 370.
Zucco A., Rend. Accad. Naz. Lincei 66 (1979) p. 376.
Zucco A., Rend. Accad. Naz. Lincei 67 (1979) pp. 100, 103.
Zucco A., Rend. Accad. Naz. Lincei 68 (1980) p. 419.
Watson K.S., Can. J. Math. 32 (1980) p. 219.
[42]
Bair J., Fourneau R., Etude g´eom´etrique des espaces vectoriels, LNM 489 Springer-
Verlag (1975).
[43] x2
Rus I. A., Petru¸sel A., Petru¸sel G., Fixed point theory 1950-2000 Romanian contributions,
House of the Book of Science, Cluj-Napoca (2002), pp. 13, 16, 216.
Avramescu C., Vladimirescu C., Revue Roumaine Math. Pures Appl. 50 (2005) pp.
431, 435, 436.
[44] x9
Hamada T., Math. Ann. 196 (1972) p. 30.
Hamada T., Yoshimura I., Discr. Math. 14 (1976) p. 247.
Bauer D., Tindell R., J. Graph Th. 3 (1979) p. 393.
Bauer D., Tindell R., J. Graph Th. 6 (1982) p. 197.
Sun H., Chinese Ann. Math. Ser. A 7 (1986), p. 605.
Buckley F., Harary F., Distance in Graphs, Addison-Wesley Publ. Comp. (1990) pp.
64, 326.
Zamfirescu Ch., Discrete Math. 170 (1997) pp. 293, 297.
Z¨ornig P., Discrete Math. 171 (1997) pp. 277, 281.
Balbuena C., Ferrero D., Discrete Math. 269 (2003) p. 20.
[45]
Bair J., Fourneau R., Etude g´eom´etrique des espaces vectoriels, LNM 489 Springer-
Verlag (1975).
[46] x3
Rus I. A., Principii ¸si aplicat¸ii ale teoriei punctului fix, Ed. Dacia, Cluj (1979).
Dezs¨o G., Mure¸san V., Studia Univ. Babe¸s-Bolyai, Mathematica, 26, 3 (1981) pp. 52,
55.
Rus I. A., Petru¸sel A., Petru¸sel G., Fixed point theory 1950-2000 Romanian contributions,
House of the Book of Science, Cluj-Napoca (2002), pp. 29, 30, 216.
[47] x2
Bair J., Fourneau R., Etude g´eom´etrique des espaces vectoriels, LNM 489 Springer-
Verlag (1975).
Mani P., Handbook of Convex Geometry, Elsevier Sci. Publ. (1993) pp. 31, 41.
[48]
Lesniak-Forster L., J. Graph Th., 1 (1977) p. 27.
[49]
Mani P., Handbook of Convex Geometry, Elsevier Sci. Publ. (1993) pp. 28, 41.
[50] x9
Gr¨unbaum B., Notices A.M.S. 20 (1973) p. A458.
Gr¨unbaum B., J. Comb. Theory, A 17 (1974) p. 31.
Walther H., Voss H.-J., ¨ Uber Kreise in Graphen, VEB Berlin, 1974, pp. 71, 98.
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