Please use this identifier to cite or link to this item: 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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