Combinatorics and Graph Theory

1003 Submissions

[4] viXra:1003.0229 [pdf] submitted on 7 Mar 2010

Smarandache Multi-Space Theory

Authors: Linfan Mao
Comments: 275 pages

A Smarandache multi-space is a union of n different spaces equipped with some different structures for an integer n ≥ 2, which can be used both for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics.
Category: Combinatorics and Graph Theory

[3] viXra:1003.0227 [pdf] replaced on 26 Jun 2011

Automorphismgroups of Maps, Surfaces and Smarandache Geometries

Authors: Linfan Mao
Comments: 399 pages.

Automorphism groups survey similarities on mathematical systems, which appear nearly in all mathematical branches, such as those of algebra, combinatorics, geometry, ... and theoretical physics, theoretical chemistry, etc. In geometry, configurations with high symmetry born symmetrical patterns, a kind of beautiful pictures in aesthetics. Naturally, automorphism groups enable one to distinguish systems by similarity. More automorphisms imply more symmetries of that system. This fact has established the fundamental role of automorphism groups in modern sciences. So it is important for graduate students knowing automorphism groups with applications.
Category: Combinatorics and Graph Theory

[2] viXra:1003.0223 [pdf] submitted on 7 Mar 2010

Smarandache Geometries & Map Theory with Applications(i)

Authors: Linfan Mao
Comments: 215 pages

SMARANDACHE GEOMETRIES & MAP THEORY WITH APPLICATIONS
Category: Combinatorics and Graph Theory

[1] viXra:1003.0221 [pdf] replaced on 27 Jun 2011

Combinatorial Geometry with Applications to Field Theory

Authors: Linfan Mao
Comments: 502 pages.

Accompanied with humanity into the 21st century, a highlight trend for developing a science is its overlap and hybrid, and harmoniously with other sciences, which enables one to handle complex systems in the WORLD. This is also for developing mathematics. As a powerful tool for dealing with relations among objectives, combinatorics, including combinatorial theory and graph theory mushroomed in last century. Its related with algebra, probability theory and geometry has made it to an important subject in mathematics and interesting results emerged in large number without metrics. Today, the time is come for applying combinatorial technique to other mathematics and other sciences besides just to find combinatorial behavior for objectives. That is the motivation of this book, i.e., to survey mathematics and fields by combinatorial principle.
Category: Combinatorics and Graph Theory