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Pólya enumeration theorem

Known as: Pólya's enumeration theorem, Polya enumeration formula, Pólya's formula 
The Pólya enumeration theorem, also known as the Redfield–Pólya Theorem, is a theorem in combinatorics that both follows from and ultimately… 
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Related topics

Related topics

6 relations
Cyclic permutationFano planeFrank HararyGraph isomorphism

Broader (1)

Graph enumeration

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Review
2015
Review
2015
Pólya type integral inequalities: Origin, variants, proofs, refinements, generalizations, equivalences, and applications
In the article, the author gets to the bottom of the origin of Polya’s integral inequality, plots out the development of the… 
2013
2013
Turán-Type Inequalities for Some Lommel Functions of the First Kind
Abstract In this paper certain Turán-type inequalities for some Lommel functions of the first kind are deduced. The key tools in… 
2009
2009
On the Pólya Enumeration Theorem
Simple formulas for the number of different cyclic and dihedral necklaces containing nj beads of the j-th color, and , are… 
2008
2008
Using integrals of squares of certain real-valued special functions to prove that the Pólya \Xi^*(z) function, the functions K_{iz}(a), a > 0, and some other entire functions have only real zeros
Analogous to the use of sums of squares of certain real-valued special functions to prove the reality of the zeros of the Bessel… 
2007
2007
Subordinate Solutions of a Differential Equation
In 2003, Ruscheweyh and Suffridge settled a conjecture of Pólya and Schoenberg on subordination of the de la Vallée Poussin means… 
2007
2007
On Cauchy–Liouville–Mirimanoff Polynomials
Abstract Let $p$ be a prime greater than or equal to 17 and congruent to 2 modulo 3. We use results of Beukers and Helou on… 
2006
2006
Sphericities of cycles. what Pólya's theorem is deficient in for stereoisomer enumeration
Three methods and their extended versions for enumerating stereoisomers, which have been developed by modifying or simplifying… 
2006
2006
Extremal Properties of Polynomials
This article focuses on those problems about extremal properties of polynomials that were considered by the Hungarian… 
2002
2002
Convolution Operators and Entire Functions with Simple Zeros
Let G(z) be an entire function of order less than 2 that is real for real z with only real zeros. Then we classify certain… 
Review
1991
Review
1991
Enumeration in musical theory.
Being a mathematician and a musician (I play the flute) I found it very interesting to deal with Polya’s counting theory in my… 
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