Polya's One Theorem with 100 Pages of Applications

被引:1
作者
Sury, B. [1 ]
机构
[1] ISI, Bangalore, Karnataka, India
来源
RESONANCE-JOURNAL OF SCIENCE EDUCATION | 2014年 / 19卷 / 04期
关键词
PET (Polya's enumeration theorem); isomers; graphs; cycle index;
D O I
10.1007/s12045-014-0039-5
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
In 1937, George Polya wrote what is considered one of the most significant papers in 20th-century mathematics. The article contained one theorem and 100 pages of applications. It introduced a combinatorial method which led to unexpected applications to diverse problems in science like the enumeration of isomers of chemical compounds. Polya's theory of enumeration was discussed in detail in [1] by Shriya Anand, a summer student of the author. In what follows, we briefly recall the theory and complement the earlier article by adding some other applications not discussed there.
引用
收藏
页码:338 / 346
页数:9
相关论文
共 5 条
[1]  
Anand Shriya, 2002, RESONANCE, V7, P19
[2]  
KRISHNAMURTHY V, 1985, COMBINATORICS THEORY
[3]  
Polya G., 1987, COMBINATORIAL ENUMER
[4]  
Redifield JH, 1927, AM J MATH, V49, P433
[5]   ENUMERATION IN MUSIC THEORY [J].
REINER, DL .
AMERICAN MATHEMATICAL MONTHLY, 1985, 92 (01) :51-54