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Automorphism Groups of Maps, Surfaces and Smarandache Geometries

By Linfan Mao

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Book Id: WPLBN0002097095
Format Type: pdf
File Size: 692 KB
Reproduction Date: 9/1/2011

Title: Automorphism Groups of Maps, Surfaces and Smarandache Geometries  
Author: Linfan Mao
Language: English
Subject: Non Fiction, Mathematics, Smarandache Collections
Collections: Mathematics, Topology, Geography, Geometry, Special Collection Mathematics, Authors Community, Math, Statistics, Most Popular Books in China, Literature
Publication Date:
Publisher: American Research Press
Member Page: Florentin Smarandache


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Mao, L. (n.d.). Automorphism Groups of Maps, Surfaces and Smarandache Geometries. Retrieved from

A combinatorial map is a connected topological graph cellularly embedded in a surface. As a linking of combinatorial configuration with the classical mathematics, it fascinates more and more mathematician’s interesting. Its function and role in mathematics are widely accepted by mathematicians today. On the last century, many works are concentrated on the combinatorial properties of maps. The main trend is the enumeration of maps, particularly the rooted maps, pioneered by W. Tutte, and today, this kind of papers are still appeared on the journals frequently today. All of those is surveyed in Liu’s book [33]. To determine the embedding of a graph on surfaces, including coloring a map on surfaces is another trend in map theory. Its object is combinatorialization of surfaces, see Gross and Tucker [22], Mohar and Thomassen [53] and White [70], especially the [53] for detail. The construction of regular maps on surfaces, related maps with groups and geometry is a glimmer of the map theory with other mathematics.


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