请输入您要查询的字词:

 

单词 Pólya Enumeration Theorem
释义

Pólya Enumeration Theorem

A very general theorem which allows the number of discrete combinatorial objects of a given type to be enumerated (counted) asa function of their ``order.'' The most common application is in the counting of the number of Graphs of nodes, Trees and Rooted Trees with branches, Groupsof order , etc. The theorem is an extension of Burnside's Lemma and is sometimes also called thePólya-Burnside Lemma.

See also Burnside's Lemma, Graph (Graph Theory), Group, Rooted Tree, Tree


References

Harary, F. ``The Number of Linear, Directed, Rooted, and Connected Graphs.'' Trans. Amer. Math. Soc. 78, 445-463, 1955.

Pólya, G. ``Kombinatorische Anzahlbestimmungen für Gruppen, Graphen, und chemische Verbindungen.'' Acta Math. 68, 145-254, 1937.


随便看

 

数学辞典收录了8975条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。

 

Copyright © 2000-2023 Newdu.com.com All Rights Reserved
更新时间:2025/2/22 16:59:56