International Journal of Mathematical Combinatorics : Volume 1, October 2007

By Mao, Linfan

Book Id: WPLBN0002828328
Format Type: PDF eBook:
File Size: 1.04 MB
Reproduction Date: 7/25/2013

Title:	International Journal of Mathematical Combinatorics : Volume 1, October 2007
Author:	Mao, Linfan
Volume:	Volume 1, October 2007
Language:	English
Subject:	Non Fiction, Education, Combinatorial Mathematics
Collections:	Authors Community, Mathematics
Historic Publication Date:	2013
Publisher:	World Public Library

Member Page:	Florentin Smarandache
Citation APA MLA Chicago Mao, B. L. (2013). International Journal of Mathematical Combinatorics : Volume 1, October 2007. Retrieved from http://gutenberg.cc/

Description
Generally, combinatorics deals with twofold: Question 1.1. to determine or find structures or properties of configurations, such as those structure results appeared in graph theory, combinatorial maps and design theory,..., etc.. Question 1.2. to enumerate configurations, such as those appeared in the enumeration of graphs, labeled graphs, rooted maps, unrooted maps and combinatorial designs,...,etc..

Summary
The combinatorial conjecture for mathematics, abbreviated to CCM is stated in the following. Conjecture 2.1(CCM Conjecture) Mathematical science can be reconstructed from or made by combinatorialization.

Table of Contents
Combinatorial Speculation and Combinatorial Conjecture for Mathematics BY LINFAN MAO. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Structures of Cycle Bases with Some Extremal Properties BY HAN REN and YUN BAI . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .20 The Crossing Number of K1,5,n BY HANFEI MEI and YUANQIU HUANG. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 Pseudo-manifold Geometries with Applications BY LINFAN MAO. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 Minimum Cycle Base of Graphs Identified by Two Planar Graphs BY DENGJU MA and HAN REN . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 A Combinatorially generalized Stokes Theorem on Integrations BY LINFAN MAO. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67 A Note on the Maximum Genus of Graphs with Diameter 4 BY XIANG REN, WEILI HE and LIN ZHAO . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 Long Dominating Cycles in Graphs BY YONGGA A and ZHIREN SUN . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94 The Crossing Number of the Join of Cm and Pn BY LING TANG, JING WANG and YUANQIU HUANG. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110 A Note on the 4-Ordered Hamiltonicity of Cayley Graphs BY LEI WANG and YONGGA A. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .117 The Crossing Number of Two Cartesian Products BY LIN ZHAO, WEILI HE, YANPEI LIU and XIANG REN. . . . . . . . . . . . . . . . . . . . . . . . .120