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Statistic identifier: St001158

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Collection: Finite Cartan types

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Description: The size of the mutation class of quivers of given type.

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References: [1]   Musiker, G., Stump, C. A compendium on the cluster algebra and quiver package in \tt Sage [[MathSciNet:2862990]]

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Code:
def statistic(C):
    return QuiverMutationType(C.type(), C.rank()).class_size()


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Statistic values:

['A',1] => 1
['A',2] => 1
['B',2] => 2
['G',2] => 2
['A',3] => 4
['B',3] => 5
['C',3] => 5
['A',4] => 6
['B',4] => 14
['C',4] => 14
['D',4] => 6
['F',4] => 15
['A',5] => 19
['B',5] => 42
['C',5] => 42
['D',5] => 26
['A',6] => 49
['B',6] => 132
['C',6] => 132
['D',6] => 80
['E',6] => 67
['A',7] => 150
['B',7] => 429
['C',7] => 429
['D',7] => 246
['E',7] => 416
['A',8] => 442
['B',8] => 1430
['C',8] => 1430
['D',8] => 810
['E',8] => 1574

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Created: Apr 20, 2018 at 22:08 by Martin Rubey

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Last Updated: Apr 20, 2018 at 22:08 by Martin Rubey