Rom Pinchasi

Selected Papers:

• R. Pinchasi, Gallai-Sylvester Theorem for Pairwise Intersecting Unit Circles, Discrete and Computational Geometry, 28 (2002), 607--624.
• P. Agarwal, E. Nevo, J. Pach, R. Pinchasi, M. Sharir, and S. Smorodinsky, Lenses in Arrangements of Pseudocircles and their Applications, J. ACM, {\bf 51}, (2004), 139--186. Also in ACM Symposium on Computational Geometry, June 2002, Universitat Polit\'ecnica de Catalunya, Barcelona, Spain. 123--132.
• J. Pach, R. Pinchasi, G. Tardos, G. T\'oth, Geometric Graphs with no Self-Intersecting Path of Length Three, Graph Drawing 2002, Lecture Notes in Computer Science 2528, Springer-Verlag, Berlin, 2002, 295--311. Also in European J. Combinatorics , {\bf 25} (2004), no. 6, 793--811.
• N. Alon, H. Last, R. Pinchasi, and M. Sharir, On the Complexity of Arrangements of Circles in the Plane, Discrete and Computational Geometry, {\bf 26} (2001), 465-492.
• J. Pach and R. Pinchasi, On the Number of Balanced Lines, Discrete and Computational Geometry, {\bf 25} (2001), 611--628.
• J. Pach and R. Pinchasi, Bichromatic Lines With Few Points, J. Combinatorial Theory Ser. A, {\bf 90} (2000), 326--335.
• J. Pach and R. Pinchasi, Unit Equilateral Triangles Induced by Point Sets in Convex Position, American Mathematical Monthly, {\bf 110} (2003), 400--406.
• J. Pach, R. Pinchasi, and M. Sharir, A Tight Bound for the Number of Different Directions in Three Dimensions, in 19th ACM Symposium on Computational Geometry, San Diego, USA, 2003, pp 106--113. Also in J. Combinatorial Theory, ser. A. {\bf 108} (2004), 1--16.
• R. Pinchasi and R. Radoi\v ci\'c, On the Number of Edges in a Topological Graph with no Self-intersecting Cycle of Length $4$, appeared in 19th ACM Symposium on Computational Geometry, San Diego, USA, 2003, pp 98--103. Also to appear in Towards a Theory of Geometric Graphs , 233--243, Contemp. Math., 342, Amer. Math. Soc. Providence, RI, 2004.(J. Pach Ed.).
• R. Pinchasi, Lines With Many Points On Both Sides, Discrete and Computational Geometry, {\bf 30} (2003), 415--435.
• R. Pinchasi, On the Size of a Radial Set, Proc. Japan Conference on Discrete and Computational Geometry, Lecture Notes in Computer Science (LNCS, Springer-Verlag), 2003, 233--245.
• M.A. Perles and R. Pinchasi, Large Sets Must Have Either a $k$-Edge or a $(k+2)$-Edge, Towards a Theory of Geometric Graphs, 225--232, Contemp. Math., 342, Amer. Math. Soc. Providence, RI, 2004. (J. Pach Ed.).
• R. Pinchasi and M. Sharir, On Graphs that Do not Contains the Cube and Related Problems, Combinatorica, {\bf 25} (2005), no. 5, 615--623.
• J. Pach, R. Pinchasi, M. Sharir, and G. T\'oth, Topological Graphs with no Large Grids, Graphs and Combinatorics, {\bf 21} (2005), no. 3, 355--364.
• D.J. Kleitman and R. Pinchasi, A Note on the Existence of a Directions Path, Disc. and Comp. Geom. , {\bf 33} (2005), no. 2, 223--229.
• S. Onn and R. Pinchasi, The Minimum Number of Edge-Directions of a Convex Polytope, J. Combinatorial Theory, ser. A. {\bf 107}, (2004), no. 1, 147--151.
• N. Alon, J. Pach, R. Pinchasi, R. Radoi\v ci\'c, M. Sharir Crossing Patterns of Semi-Algebraic Sets, J. Combinatorial Theory, ser. A. {\bf 111} (2005), no. 2, 310--326.
• R. Pinchasi and S. Smorodinsky, On The Delaunay Graph of a Geometric Graph, proc. 20th ACM Symp. on Computational Geometry, (2004). 378--382.
• R. Pinchasi, R. Radoi\v ci\'c , and M. Sharir, On Empty Convex Polygons in a Planar Point Set, J. Combinatorial Theory, ser. A., {\bf 113} (2006), no. 3, 385--419. Also in proc. 20th ACM Symp. on Computational Geometry , (2004). 391--400.
• M.A. Perles and R. Pinchasi, Forbidden $k$-Sets in the Plane, SIDMA , accepted.
• J. Pach and R. Pinchasi, A Long Non-Intersecting Path Among Disjoint Segments in the Plane, Combinatorial and computational geometry , 495--500, Math. Sci. Res. Inst. Publ., {\bf 52}, Cambridge Univ. Press, Cambridge, 2005.
• H. Last and R. Pinchasi> At Least $n-1$ Intersection Points Among $n$ Unit Circles Disc. and Comp. Geom. accepted.
• R. Pinchasi, On the number of distinct directions of planes determined by $n$ points in $\mathbb{R}^3$ submitted.
• J. Pach, R. Pinchasi, and M. Sharir, Solution of Scott's Problem on the Number of Directions Determined by a Point Set in $3$-Space Discrete Comput. Geom. {\bf 38} (2007), 399--441.
• R. Pinchasi and G. Rote, On the maximum size of an anti-chain of $k$-sets and convex pseudo-discs submitted.
• N. Alon, A. Pinchasi, and R. Pinchasi, On Some Isoperimetric Inequality In The Universal Covering Space Of The Punctured Plane Discrete Mathematics, accepted.
• A. Perlstein and R. Pinchasi, Generalized Thrackles and Geometric Graphs in $\mathbb{R}^3$ with no pair of Strongly Avoiding Edges submitted.
• N. Alon, T.H. Hall, C. Knauer, R. Pinchasi, R. Yuster On Graphs and Algebraic Graphs that do not Contain Cycles of Length $4$. submitted.
• R. Pinchasi, The minimum number of distinct areas of triangles determined by a set of $n$ points in the plane. SIDMA , accepted.
• E. Ackerman, K. Buchin, C. Knauer, R. Pinchasi, and G. Rote, There are not too many Magic Configurations. Discrete Comput. Geom. accepted.
• R. Holzman, S. Lev, and R. Pinchasi, Projecting difference sets on the positive orthant. submitted.
• R. Pinchasi, Linear Algebra Approach to Geometric Graphs. JCT-A.
• I. Ben-Dan, R. Pinchasi, and R. Ziv, Points with large $\alpha$-depth. submitted.
• R. Pinchasi, Geometric Graphs with no Two Parallel Edges. Combinatorica, accepted.
• S. Buzaglo, R. Pinchasi, and G. Rote, Topological Hyper-graphs. submitted.
• S. Buzaglo, R. Holzman, and R. Pinchasi, On $k$-intersecting curves and related problems. submitted.
• I. Ben-Dan, R. Pinchasi, R. Ziv On a problem of Felsner about quadrant depth.. submitted.
• R. Apfelbaum, I. Ben-Dan, S. Felsner, R. Pinchasi, T. Ueckerdt, R. Ziv, Points with large quadrant depth. submitted.
• S. Lev, M. Muzychuk, R. Pinchasi, Additive bases in abealian groups, submitted.
• I. Pak, R. Pinchasi, How to cut out a convex polyhedron. submitted. And a shorter version just of the main Lemma: I. Pak, R. Pinchasi Collapsing walls theorem. American Mathematical Monthly, accepted.
• R. Pinchasi, Halving lines and measure concentration in the plane. submitted.
• E. Ackerman, R. Pinchasi, L. Scharf, M. Scherfenberg, On inducing polygons and related problems. submitted. And a shorter paper with the shorter proof only: E. Ackerman, R. Pinchasi, L. Scharf, M. Scherfenberg, Every simple arrangement of $n$ lines contains an inducing simple $n$-gon. submitted.
• S. Kurz and R. Pinchasi, Regular Matchstick Graphs. American Mathematical Monthly , accepted.
• R. Pinchasi and A. Pinkus, Dominating Subsets under Projections. SIAM J. Discrete Math. 24 (2010), no. 3, 910--920.
• E. Ackerman, T. Gelander, R. Pinchasi, Ice-Creams and Wedge Graphs. submitted.
• E. Ackerman, N. Nitzan, R. Pinchasi, The maximum number of edges in geometric graphs with pairwise virtually avoiding edges. submitted.
• E. Ackerman and R. Pinchasi, On the light side of geometric graphs. submitted.
• R. Pinchasi, The Zone Theorem Revisited. submitted.
• E. Ackerman, J. Fox, R. Pinchasi, A note on light geometric graphs. submitted.
• E. Ackerman, R. Pinchasi, On the Degenerate Crossing Number. submitted.
• R. Pinchasi, Points covered an odd number of times by translates. submitted.
• E. Ackerman, R. Pinchasi, Covering a Chessboard with Staircase Walks. submitted.
• E. Ackerman, J. Pach, R. Pinchasi, R. Radoi\v ci\'c, G. T\'oth, A note on coloring line arrangements. submitted.
• E. Ackerman, R. Pinchasi, On coloring points with respected to rectangles. submitted.
• A. Ophir, R. Pinchasi, Nearly Equal Distances in Metric Spaces. submitted.
• R. Pinchasi, Extreme Intersection Points in Arrangements of Lines. submitted.
• R. Pinchasi, A solution to a problem of Gr¨unbaum and Motzkin and of Erd˝os and Purdy about bichromatic configurations of points in the plane. Israel J. of Math., accepted.
• R. Pinchasi, Crossing by lines all edges of a line arrangement. submitted.
• G. Nivasch, J. Pach, R. Pinchasi, Sh. Zerbib, The number of distinct distances from a vertex of a convex polygon. submitted.
• B. Aronov, M. Dulieu, R. Pinchasi, M. Sharir, On the Union Complexity of Diametral Disks. submitted.

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Last update: October, 2012