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https://scholarhub.balamand.edu.lb/handle/uob/7040| Title: | Maximal number of a family of intersecting triangles in convex position | Authors: | Moussa, Zaynab | Advisors: | Farah, Farah | Keywords: | Convex position, intersecting family of triangles, strip, triangulation system. | Subjects: | Convex geometry Mathematical analysis Dissertations, Academic University of Balamand--Dissertations |
Issue Date: | 2023 | Abstract: | An interesting question was raised by Frankl ,Holmsen and Kupavskii (2021) about the maximum size of an intersecting family of triangles determined by a set of points at convex position and it was studied explicitly later by Füredi et al (2022). A family of triangles is said to be intersecting if any two triangles from this family have an intersecting interiors. We prove in this project that the number of intersecting family of triangles whose vertices are at a convex position is at most ( ( ))( ) triangles. |
Description: | Includes bibliographical references (p. 32-33) |
URI: | https://scholarhub.balamand.edu.lb/handle/uob/7040 | Rights: | This object is protected by copyright, and is made available here for research and educational purposes. Permission to reuse, publish, or reproduce the object beyond the personal and educational use exceptions must be obtained from the copyright holder | Type: | Project |
| Appears in Collections: | UOB Theses and Projects |
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