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Pólya enumeration theorem

The Pólya enumeration theorem, also known as the Redfield–Pólya theorem and Pólya counting, is a theorem in combinatorics that both follows from and ultimately generalizes Burnside's lemma on the number of orbits of a group action on a set. The theorem was first published by J. Howard Redfield in 1927. In 1937 it was independently rediscovered by George…

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Finite setGroupPermutationsFiniteSymmetry group
12 related topics

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Up toIsomorphismSymmetric groupTreesTernary tree
6 related topics

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Generating functionUnivariateIntegerCycle index
4 related topics

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CombinatoricsBurnside's lemmaOrbitsGroup actionSet
10 related topics

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Pólya enumeration theorem

Nodes37
Edges36
Triples24
Avg. degree1.95
Density0.054054
Components1

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Pólya enumeration theorem

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related to Simplified, unweighted version · 9
Pólya enumeration theorem → Cn, Dn, For, Let, Suppose, The, The Pólya, Then, YX
related to Graphs on three and four vertices · 8
Pólya enumeration theorem → For, The, The Pólya, There, This, Thus, With, YX
related to Proof of theorem · 7
Pólya enumeration theorem → Applying Burnside's, Burnside's, For, Given, It, Pólya, The

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theorem group enumeration set function number colors generating pólya displaystyle trees weight beads cycle graphs vertices rooted ternary acts colored

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SubjectPredicateObjectConfidenceSrc
Pólya enumeration theoremrelated to Graphs on three and four verticesThe0.60section
Pólya enumeration theoremrelated to Graphs on three and four verticesThe Pólya0.60section
Pólya enumeration theoremrelated to Graphs on three and four verticesFor0.60section
Pólya enumeration theoremrelated to Graphs on three and four verticesThus0.60section
Pólya enumeration theoremrelated to Graphs on three and four verticesThis0.60section
Pólya enumeration theoremrelated to Graphs on three and four verticesWith0.60section
Pólya enumeration theoremrelated to Graphs on three and four verticesYX0.60section
Pólya enumeration theoremrelated to Graphs on three and four verticesThere0.60section
Pólya enumeration theoremrelated to Proof of theoremThe0.60section
Pólya enumeration theoremrelated to Proof of theoremPólya0.60section
Pólya enumeration theoremrelated to Proof of theoremBurnside's0.60section
Pólya enumeration theoremrelated to Proof of theoremIt0.60section

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