A new view of combinatorial maps by Smarandache's notion

2005/06/13 by Linfan Mao, Mao, Linfan
Mathematics · #05C15 #20H15 #51D99 #51M05 #Advanced Mathematical Theories #Combinatorics (math.CO) #FOS: Mathematics #General Mathematics (math.GM) #Mathematics and Applications #math.CO #math.GM #msc:05C15 #msc:20H15 #msc:51D99 #msc:51M05

paper · pdf · doi:10.48550/arxiv.math/0506232

19pages

arxiv created 2005/06/13 · openalex publication_date 2005/06/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

On a geometrical view, the conception of map geometries are introduced, which is a nice model of the Smarandache geometries, also new kind of and more general intrinsic geometry of surface. Results convinced one that map geometries are Smarandache geometries and their enumertion are obtained. Open problems related combinatorial maps with the Riemann geometry and Smarandache geometries are also presented in this paper.

Related

• Automorphism groups of maps, surfaces and Smarandache geometries
• Pseudo-Manifold Geometries with Applications
• Smarandache Multi-Space Theory(III)--Map geometries and pseudo-plane geometries
• Smarandache Ruled Surfaces According to Bishop Frame in E3
• Dual Smarandache Curves and Smarandache Ruled Surfaces