Selected Papers on Mathematical Combinatorics: v. 1

The mathematics of 21st century is a combinatorization with its generalization for classical mathematics, also a result for mathematics consistency with the science development in the 21st century, i.e., Mathematical Combinatorics. This collection contains 8 papers finished by the author or the author with other mathematicians for introducing the mathematical combinatorics, including the combinatorial conjecture for mathematics, Smarandache multi-spaces, map geometries, enumeration of maps and an application of multi-spaces to bids evaluation system in China, which can be seen as a combinatorial speculation for classical mathematics and benefit for researchers working in the mathematical combinatorics of the 21st century.

Table of Contents:
1. Combinatorial speculations and the combinatorial conjecture for mathematics 2. Mathematics of the 21st Century Expected by Physics 3. A new view of combinatorial maps by Smarandache's notion 4. A multi-space model for Chinese bid evaluation with analyzing 5. The number of complete maps on surfaces 6. Automorphisms and enumeration of maps of Cayley graphs of a finite group 7. A combinatorial refinement of Hurwitz theorem on Riemann Surfaces 8. The mathematical steps of mine

About the Author :
Linfan Mao is a researcher in the Chinese Academy of Mathematics and System Science, also a consultor in the Guoxin Tendering Co., Ltd, in Beijing. His main interesting focus on Smarandache geometries with applications to other sciences, combinatorial map theory and gravitational theory with application to the universe. Now he has published more than 35 papers and 2 monographs on Smarandache geometries, combinatorial maps, graphs and operation research. He was born in December 31,1962 in Sichuan Deyang of China. Graduated from Sichuan Wanyuan School in July, 1980. Then worked in the First Company of China Construction Second Engineering Bureau, began as a scaffold erector then learnt in the Beijing Urban Construction School from 1983 to 1987. After then he came back to this company again. Began as a technician then an engineer from 1987 to 1998. In this period, he published 8 papers on Architectural Technology, also the co-author in three books on architecture technology and 5 papers on Graph Theory. He got his BA in applied mathematics in Peking University in 1995 learnt by himself. In 1999, he leaved this engineering company and began his postgraduate study in the Northern Jiaotong University, also worked as a general engineer in the Construction Department of Chinese Law Committee. In 2002, he got a PhD with a doctoral dissertation A census of maps on surface with given underlying graphs under the supervision of Professor Yanpei Liu. From June, 2003 to May, 2005, he worked in the Chinese Academy of Mathematics and Systems as a post-doctor and finished his postdoctoral report: On Automorphisms of maps, surfaces and Smarandache geometries. Now he is a researcher on mathematics in the Chinese Academy of Mathematics and System Science.