Young-Fibonacci Lattice (Paperback)


High Quality Content by WIKIPEDIA articles High Quality Content by WIKIPEDIA articles In mathematics, the Young-Fibonacci graph and Young-Fibonacci lattice are two closely related structures involving sequences of the digits 1 and 2. Any digit sequence of this type can be assigned a rank, the sum of its digits: for instance, the rank of 11212 is 1 + 1 + 2 + 1 + 2 = 7. As was already known in ancient India, the number of sequences with a given rank is a Fibonacci number. The Young-Fibonacci lattice is an infinite modular lattice having these digit sequences as its elements, compatible with this rank structure. The Young-Fibonacci graph is the graph of this lattice, and has a vertex for each digit sequence.

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High Quality Content by WIKIPEDIA articles High Quality Content by WIKIPEDIA articles In mathematics, the Young-Fibonacci graph and Young-Fibonacci lattice are two closely related structures involving sequences of the digits 1 and 2. Any digit sequence of this type can be assigned a rank, the sum of its digits: for instance, the rank of 11212 is 1 + 1 + 2 + 1 + 2 = 7. As was already known in ancient India, the number of sequences with a given rank is a Fibonacci number. The Young-Fibonacci lattice is an infinite modular lattice having these digit sequences as its elements, compatible with this rank structure. The Young-Fibonacci graph is the graph of this lattice, and has a vertex for each digit sequence.

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Product Details

General

Imprint

Betascript Publishing

Country of origin

United States

Release date

August 2010

Availability

Supplier out of stock. If you add this item to your wish list we will let you know when it becomes available.

First published

August 2010

Editors

, ,

Dimensions

152 x 229 x 5mm (L x W x T)

Format

Paperback - Trade

Pages

76

ISBN-13

978-6131181054

Barcode

9786131181054

Categories

LSN

6131181055



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