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Saygı E., Eğecioğlu O.
DISCRETE APPLIED MATHEMATICS, vol.226, pp.127-137, 2017 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
226
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Publication Date:
2017
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Doi Number:
10.1016/j.dam.2017.04.026
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Journal Name:
DISCRETE APPLIED MATHEMATICS
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Page Numbers:
pp.127-137
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Keywords:
Hypercube, Fibonacci number, Fibonacci cube, Cube enumerator polynomial, q-analogue, LUCAS CUBES, DISJOINT HYPERCUBES, JACOBSTHAL
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Hacettepe University Affiliated:
Yes
Abstract
We consider a q-analogue of the cube polynomial of Fibonacci cubes. These bivariate polynomials satisfy a recurrence relation similar to the standard one. They refine the count of the number of hypercubes of a given dimension in Fibonacci cubes by keeping track of the distances of the hypercubes to the all 0 vertex. For q = 1, they specialize to the standard cube polynomials.