R. Dorward

activity

20152026

most citedA Generalization of Zeckendorf's Theorem via Circumscribed

m

-gons

9 citations · 14 across the 5 of their papers we have counts for

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Showing 2015Show all

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math.NT2015★ 4 cited

Individual Gap Measures from Generalized Zeckendorf Decompositions

Robert Dorward, Pari L. Ford, Eva Fourakis +3

Zeckendorf's theorem states that every positive integer can be uniquely decomposed as a sum of nonconsecutive Fibonacci numbers. The distribution of the number of summands converge…

math.NT2015★ 9 cited

A Generalization of Zeckendorf's Theorem via Circumscribed $m$ -gons

Robert Dorward, Pari L. Ford, Eva Fourakis +4

Zeckendorf's theorem states that every positive integer can be uniquely decomposed as a sum of nonconsecutive Fibonacci numbers, where the Fibonacci numbers satisfy $F_n=F_{n-1}+F_…

math.CO2015★ 1 cited

Set partition patterns and statistics

Samantha Dahlberg, Robert Dorward, Jonathan Gerhard +4

A set partition $σ$ of $[n] = {1, \dots, n}$ contains another set partition $π$ if restricting $σ$ to some $S \subseteq [n]$ and then standardizing the result gives $π$ . Otherwise we s…

Individual Gap Measures from Generalized Zeckendorf Decompositions

A Generalization of Zeckendorf's Theorem via Circumscribed m-gons

Set partition patterns and statistics

A Generalization of Zeckendorf's Theorem via Circumscribed $m$ -gons