On some combinatorial properties of bihyperbolic numbers of the Fibonacci type
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7054
Abstract: In this paper, we give some properties of the bihyperbolic Fibonacci, Jacobsthal and Pell numbers, among others the Binet formula, Catalan, Cassini, and d'Ocagne identities. Moreover, we present the generating function and summation formulas for… read more here.
Keywords: bihyperbolic numbers; numbers fibonacci; fibonacci type; properties bihyperbolic ... See more keywords
Combinatorial properties of phylogenetic diversity indices
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Biology"
DOI: 10.1007/s00285-019-01438-0
Abstract: Phylogenetic diversity indices provide a formal way to apportion ‘evolutionary heritage’ across species. Two natural diversity indices are Fair Proportion (FP) and Equal Splits (ES). FP is also called ‘evolutionary distinctiveness’ and, for rooted trees,… read more here.
Keywords: phylogenetic diversity; properties phylogenetic; combinatorial properties; diversity ... See more keywords
On Combinatorial Properties of the Knapsack Problem
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DOI: 10.1134/s0965542519080074
Abstract: The knapsack problem with Boolean variables and a single constraint is studied. In the general case, this problem is NP-hard; for this reason, its exact solution requires the use of various search algorithms with the… read more here.
Keywords: properties knapsack; knapsack problem; problem; objective function ... See more keywords
On Formulas and Some Combinatorial Properties of Schubert Polynomials
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DOI: 10.1142/s1005386717000438
Abstract: By applying a Grobner-Shirshov basis of the symmetric group Sn, we give two formulas for Schubert polynomials, either of which involves only nonnegative monomials. We also prove some combinatorial properties of Schubert polynomials. As applications,… read more here.
Keywords: schubert polynomials; properties schubert; formulas combinatorial; combinatorial properties ... See more keywords