bijective proof | Sciweavers

38

DM
1999

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A bijective proof of Riordan's theorem on powers of Fibonacci numbers

13 years 11 months ago

Let Fk(x) = n=0 Fk n xn . Using the interpretation of Fibonacci numbers in the terms of Morse codes, we give a bijective proof of Riordan's formula (1 - Lkx + (-1)k x2 )Fk(x...

Andrej Dujella

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30

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EJC
2006

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An iterative-bijective approach to generalizations of Schur's theorem

13 years 11 months ago

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Abstract. We start with a bijective proof of Schur's theorem due to Alladi and Gordon and describe how a particular iteration of it leads to some very general theorems on colo...

Sylvie Corteel, Jeremy Lovejoy

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34

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DM
2008

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Bijective proofs of Gould's and Rothe's identities

13 years 11 months ago

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We first give a bijective proof of Gould's identity in the model of binary words. Then we deduce Rothe's identity from Gould's identity again by a bijection, which a...

Victor J. W. Guo

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