• 374 Citations
  • 10 h-Index
1987 …2019

Research output per year

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Research Output

  • 374 Citations
  • 10 h-Index
  • 90 Article
  • 4 Letter
  • 2 Comment/debate
  • 1 Chapter
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Article
2019

Existence of special rainbow triangles in weak geometries

Pambuccian, V., Jan 1 2019, (Accepted/In press) In : Georgian Mathematical Journal.

Research output: Contribution to journalArticle

Lippmann’s axiom and Lebesgue’s axiom are equivalent to the Lotschnittaxiom

Pambuccian, V. & Schacht, C., Dec 1 2019, In : Beitrage zur Algebra und Geometrie. 60, 4, p. 733-748 16 p.

Research output: Contribution to journalArticle

2 Scopus citations
2 Scopus citations

The elementary Archimedean axiom in absolute geometry

Pambuccian, V., Dec 1 2019, In : Journal of Geometry. 110, 3, 52.

Research output: Contribution to journalArticle

The Hajja–Martini inequality in a weak absolute geometry

Harutyunyan, D., Nazaryan, A. & Pambuccian, V., Aug 1 2019, In : Journal of Geometry. 110, 2, 24.

Research output: Contribution to journalArticle

2018

Euler’s inequality in absolute geometry

Pambuccian, V. & Schacht, C., Apr 1 2018, In : Journal of Geometry. 109, 1, 8.

Research output: Contribution to journalArticle

Negation-Free and Contradiction-Free Proof of the Steiner–Lehmus Theorem

Pambuccian, V., Jan 1 2018, In : Notre Dame Journal of Formal Logic. 59, 1, p. 75-90 16 p.

Research output: Contribution to journalArticle

2 Scopus citations

Problem in pythagorean arithmetic

Pambuccian, V., Jan 1 2018, In : Notre Dame Journal of Formal Logic. 59, 2, p. 197-204 8 p.

Research output: Contribution to journalArticle

1 Scopus citations
2017

Another equivalent of the Lotschnittaxiom

Pambuccian, V., Mar 1 2017, In : Beitrage zur Algebra und Geometrie. 58, 1, p. 167-170 4 p.

Research output: Contribution to journalArticle

3 Scopus citations
2016

Absolute geometry proofs of two geometric inequalities of Chisini

Pambuccian, V., Jun 28 2016, (Accepted/In press) In : Journal of Geometry. p. 1-6 6 p.

Research output: Contribution to journalArticle

1 Scopus citations

An axiomatic look at the Erdős-Trost problem

Kalhoff, F. & Pambuccian, V., Jul 1 2016, In : Journal of Geometry. 107, 2, p. 379-385 7 p.

Research output: Contribution to journalArticle

From absolute to affine geometry in terms of point-reflections, midpoints, and collinearity

Alama, J. & Pambuccian, V., 2016, In : Note di Matematica. 36, 1, p. 11-24 14 p.

Research output: Contribution to journalArticle

2 Scopus citations

THE ARITHMETIC OF THE EVEN AND THE ODD

Pambuccian, V., Jan 18 2016, (Accepted/In press) In : Review of Symbolic Logic. p. 1-11 11 p.

Research output: Contribution to journalArticle

2 Scopus citations

The Steiner–Lehmus theorem and “triangles with congruent medians are isosceles” hold in weak geometries

Pambuccian, V., Struve, H. & Struve, R., Jun 1 2016, In : Beitrage zur Algebra und Geometrie. 57, 2, p. 483-497 15 p.

Research output: Contribution to journalArticle

3 Scopus citations
2015

Aristotle’s problem

Hulpke, A. & Pambuccian, V., Oct 28 2015, In : Beitrage zur Algebra und Geometrie. 56, 2, p. 473-477 5 p.

Research output: Contribution to journalArticle

1 Scopus citations
2014

An axiomatic look at a windmill

Pambuccian, V., Jan 5 2014, In : Indagationes Mathematicae. 25, 1, p. 113-121 9 p.

Research output: Contribution to journalArticle

2013

On the simplicity of ordered geometry

Pambuccian, V., Apr 1 2013, In : Journal of Geometry. 104, 1, p. 153-163 11 p.

Research output: Contribution to journalArticle

2012

The non-planarity of K 5 and K 3,3 as axioms for plane ordered geometry

Pambuccian, V., Oct 17 2012, In : Journal of Geometry. 103, 2, p. 313-318 6 p.

Research output: Contribution to journalArticle

1 Scopus citations
2011

Acute triangulation of a triangle in a general setting revisited

Hociotǎ, I. & Pambuccian, V., Dec 1 2011, In : Journal of Geometry. 102, 1-2, p. 81-84 4 p.

Research output: Contribution to journalArticle

4 Scopus citations

Another Splitting of the Pasch Axiom

Pambuccian, V., May 1 2011, In : Results in Mathematics. 59, 3-4, p. 219-227 9 p.

Research output: Contribution to journalArticle

2 Scopus citations

Paolo Pizzetti: The forgotten originator of triangle comparison geometry

Pambuccian, V. & Zamfirescu, T., Aug 1 2011, In : Historia Mathematica. 38, 3, p. 415-422 8 p.

Research output: Contribution to journalArticle

1 Scopus citations

Positive existential definability of parallelism in terms of betweenness in archimedean ordered affine geometry

Kalhoff, F. & Pambuccian, V., Nov 25 2011, In : Rocky Mountain Journal of Mathematics. 41, 5, p. 1501-1521 21 p.

Research output: Contribution to journalArticle

1 Scopus citations

The axiomatics of ordered geometry. I. Ordered incidence spaces

Pambuccian, V., Jan 1 2011, In : Expositiones Mathematicae. 29, 1, p. 24-66 43 p.

Research output: Contribution to journalArticle

19 Scopus citations

The Simplest Axiom System for Plane Hyperbolic Geometry Revisited

Pambuccian, V., Apr 1 2011, In : Studia Logica. 97, 3, p. 347-349 3 p.

Research output: Contribution to journalArticle

3 Scopus citations
2010

Acute triangulation of a triangle in a general setting

Pambuccian, V., Sep 1 2010, In : Canadian Mathematical Bulletin. 53, 3, p. 534-541 8 p.

Research output: Contribution to journalArticle

4 Scopus citations

Forms of the pasch axiom in ordered geometry

Pambuccian, V., Jan 1 2010, In : Mathematical Logic Quarterly. 56, 1, p. 29-34 6 p.

Research output: Contribution to journalArticle

7 Scopus citations

Mappings preserving the area equality of hyperbolic triangles are motions

Pambuccian, V., Jul 20 2010, In : Archiv der Mathematik. 95, 3, p. 293-300 8 p.

Research output: Contribution to journalArticle

2 Scopus citations

Weakly ordered plane geometry

Pambuccian, V., Feb 10 2010, In : Annali dell'Universita di Ferrara. 56, 1, p. 91-96 6 p.

Research output: Contribution to journalArticle

7 Scopus citations
2009

A Reverse analysis of the Sylvester-Gallai theorem

Pambuccian, V., Dec 1 2009, In : Notre Dame Journal of Formal Logic. 50, 3, p. 245-260 16 p.

Research output: Contribution to journalArticle

7 Scopus citations

On a paper of dan barbilian

Pambuccian, V., Dec 1 2009, In : Note di Matematica. 29, 2, p. 29-31 3 p.

Research output: Contribution to journalArticle

On M. T. Calapso's characterization of the metric of an absolute plane

Pambuccian, V. & Struve, R., Mar 1 2009, In : Journal of Geometry. 92, 1-2, p. 105-116 12 p.

Research output: Contribution to journalArticle

6 Scopus citations

On the equivalence of Lagrange's axiom to the Lotschnittaxiom

Pambuccian, V., Dec 15 2009, In : Journal of Geometry. 95, 1-2, p. 165-171 7 p.

Research output: Contribution to journalArticle

5 Scopus citations
3 Scopus citations
2008

Axiomatizing geometric constructions

Pambuccian, V., Mar 1 2008, In : Journal of Applied Logic. 6, 1, p. 24-46 23 p.

Research output: Contribution to journalArticle

13 Scopus citations

Elementary versions of the sylvester-gallai theorem

Pambuccian, V., Oct 1 2008, In : Beitrage zur Algebra und Geometrie. 49, 2, p. 335-339 5 p.

Research output: Contribution to journalArticle

1 Scopus citations

The elementary geometry of a triangular world with hexagonal circles

Pambuccian, V., Apr 7 2008, In : Beitrage zur Algebra und Geometrie. 49, 1, p. 165-175 11 p.

Research output: Contribution to journalArticle

2 Scopus citations

The Erdös-Mordell inequality is equivalent to non-positive curvature

Pambuccian, V., Mar 1 2008, In : Journal of Geometry. 88, 1-2, p. 134-139 6 p.

Research output: Contribution to journalArticle

9 Scopus citations

The sum of irreducible fractions with consecutive denominators is never an integer in PA-

Pambuccian, V., Dec 1 2008, In : Notre Dame Journal of Formal Logic. 49, 4, p. 425-429 5 p.

Research output: Contribution to journalArticle

1 Scopus citations
2007

Alexandrov-Zeeman type theorems expressed in terms of definability

Pambuccian, V., Dec 1 2007, In : Aequationes Mathematicae. 74, 3, p. 249-261 13 p.

Research output: Contribution to journalArticle

8 Scopus citations

Orthogonality as single primitive notion for metric planes

Pambuccian, V., Dec 1 2007, In : Beitrage zur Algebra und Geometrie. 48, 2, p. 399-409 11 p.

Research output: Contribution to journalArticle

9 Scopus citations

Point-reflections in metric plane

Pambuccian, V., Dec 1 2007, In : Beitrage zur Algebra und Geometrie. 48, 1, p. 59-67 9 p.

Research output: Contribution to journalArticle

1 Scopus citations
2006

Logical asides on the maximality of a subgroup

Pambuccian, V., Dec 1 2006, In : Note di Matematica. 26, 1, p. 105-108 4 p.

Research output: Contribution to journalArticle

Positive definitions of segment congruence in terms of segment inequality

Pambuccian, V., Dec 1 2006, In : Aequationes Mathematicae. 72, 3, p. 243-253 11 p.

Research output: Contribution to journalArticle

1 Scopus citations

Remarks, du côté de chez Tarski, on symmetric ternary relations

Pambuccian, V., Mar 1 2006, In : Journal of Geometry. 84, 1-2, p. 94-99 6 p.

Research output: Contribution to journalArticle

3 Scopus citations
2005

Defining co-punctuality in terms of line-orthogonality in plane hyperbolic geometry

Pambuccian, V., Prazmowski, K. & Sakowicz, K., Dec 1 2005, In : Acta Mathematica Hungarica. 109, 4, p. 289-293 5 p.

Research output: Contribution to journalArticle

7 Scopus citations

Elementary axiomatizations of projective space and of its associated grassmann space

Pambuccian, V., Dec 1 2005, In : Note di Matematica. 24, 1, p. 129-144 16 p.

Research output: Contribution to journalArticle

5 Scopus citations

Groups and plane geometry

Pambuccian, V., Dec 1 2005, In : Studia Logica. 81, 3, p. 387-398 12 p.

Research output: Contribution to journalArticle

7 Scopus citations