Sylvester?Gallai Theorem and Metric Betweenness

2004/02/01 by Vasek Chv�tal · 5 citations
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Betweenness centrality #Combinatorics #Computational Geometry and Mesh Generation #Conjecture #Discrete mathematics #Euclidean geometry #Geometry #Line (geometry) #Mathematics #Mathematics and Applications #Metric (unit) #Metric space #Point (geometry) #Pure mathematics #Real line

paper · pdf · doi:10.1007/s00454-003-0795-6

crossref issued 2004/02/01 · crossref published 2004/02/01 · crossref published-print 2004/02/01 · openalex publication_date 2004/02/01 · crossref created 2004/02/20 · crossref deposited 2019/05/28 · openalex created_date 2025/10/10 · crossref indexed 2026/04/30 · openalex updated_date 2026/07/29

Citations

• Metric spaces and positive definite functions
• A survey of Sylvester's problem and its generalizations
• Geometry of Cuts and Metrics
• A System of Axioms for Geometry

Cited by

• The axiomatics of ordered geometry
• The Sylvester-Chvatal Theorem
• A constructive version of the Sylvester–Gallai theorem
• A Reverse Analysis of the Sylvester-Gallai Theorem
• Sylvester–Gallai theorem [wikipedia]