Combinatorics and Graph Theory

1309 Submissions

[7] viXra:1309.0063 [pdf] submitted on 2013-09-09 11:36:24

Graphs with Contributions to Fundamental Groups

Authors: Linfan Mao
Comments: 44 Pages.

Study of combinatorial spaces and smarandache multispaces.
Category: Combinatorics and Graph Theory

[6] viXra:1309.0062 [pdf] submitted on 2013-09-09 11:39:24

Labeling, Covering and Decomposing of Graphs

Authors: Linfan Mao
Comments: 56 Pages.

This report survey the smarandache system, labeling graphs and others in the classical graph theory.
Category: Combinatorics and Graph Theory

[5] viXra:1309.0061 [pdf] submitted on 2013-09-09 11:41:53

Geometry on Combinatorial Structures

Authors: Linfan Mao
Comments: 56 Pages.

Combinatorial structures underlying things, Topology of Combinatorial Manifold, and Differentiationon Combinatorial Manifold are the topics of this paper.
Category: Combinatorics and Graph Theory

[4] viXra:1309.0060 [pdf] submitted on 2013-09-09 11:46:30

Extending Homomorphism Theorem to Multi-Systems

Authors: Linfan Mao
Comments: 22 Pages.

An axiom is said smarandachely denied (S-denied) if in the same space the axiom behaves differently, i.e., validated and Invalided, or only invalidated but in at least two distinct ways. And a Smarandache multi-space is a union of n different spaces equipped with some different structures for an integer n≧2. This paper studies them.
Category: Combinatorics and Graph Theory

[3] viXra:1309.0059 [pdf] submitted on 2013-09-09 11:48:05

Labeled Graphs with Combinatorial Manifolds

Authors: Linfan Mao
Comments: 27 Pages.

I will prescribe limitation on following topics and mainly concentrate on myself works for combinatorially differential geometry, particularly, the combinatorial counterpart in recent years.
Category: Combinatorics and Graph Theory

[2] viXra:1309.0058 [pdf] submitted on 2013-09-09 11:49:41

Combinatorial World

Authors: Linfan Mao
Comments: 43 Pages.

Applications of Voltage Assignament to Principal Fiber Bundles.
Category: Combinatorics and Graph Theory

[1] viXra:1309.0057 [pdf] submitted on 2013-09-09 12:01:40

Non-Solvable Equation Systems with Graphs Embedded in R^n

Authors: Linfan Mao
Comments: 36 Pages.

We study the Smarandache Systems with Labeled Topological Graphs. A rule R in a mathematical system (Sigma; R) is said to be Smarandachely denied if it behaves in at least two different ways within the same set Sigma, i.e. validated and invalided, or only invalided but in multiple distinct ways. A Smarandache system (Sigma;R) is a system that has at least one smarandachely denied rule R.
Category: Combinatorics and Graph Theory