Yazar "Dagli, Mehmet" için listeleme
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Bi-periodic incomplete Horadam numbers
Tan, Elif; Dagli, Mehmet; Belkhir, Amine (Tubitak Scientific & Technological Research Council Turkey, 2023)In this paper, we introduce bi-periodic incomplete Horadam numbers as a natural generalization of incomplete Horadam numbers. We study their basic properties and provide recurrence relations. In particular, we derive the ... -
Extension-based constructions of locally repairable fractional repetition codes
Dagli, Mehmet (Springer Heidelberg, 2024)Fractional Repetition (FR) codes break the data into smaller fragments and distribute these fragments across multiple storage nodes. This paper focuses on extension-based construction methods for obtaining new FR codes ... -
On r-circulant matrices with generalized bi-periodic Fibonacci numbers
Dagli, Mehmet; Tan, Elif; Olmez, Oktay (Springer Heidelberg, 2022)In this paper, we calculate the Frobenius norm, and give upper and lower bounds for the spectral norm of r-circulant matrices whose entries are defined in terms of generalized bi-periodic Fibonacci numbers. We also provide ... -
Restricted Comtrans Algebras over Small Odd Primes
Dagli, Mehmet; Garcia, Luis A.; Smith, Jonathan D. H. (TAYLOR & FRANCIS INC, 2016)Comtrans algebras, as analogues of Lie algebras, provide tangent bundle structure corresponding to web geometry in a manifold. In this article, restricted comtrans algebras over rings of small odd prime characteristic are ... -
RICCI CURVATURE, CIRCULANTS, AND EXTENDED MATCHING CONDITIONS
Dagli, Mehmet; Olmez, Oktay; Smith, Jonathan D. H. (KOREAN MATHEMATICAL SOC, 2019)Ricci curvature for locally finite graphs, as proposed by Lin, Lu and Yau, provides a useful isomorphism invariant. A Matching Condition was introduced as a key tool for computation of this Ricci curvature. The scope of ... -
SOME COMBINATORIAL ASPECTS OF BI-PERIODIC INCOMPLETE HORADAM SEQUENCES
Belkhir, Amine; Tan, Elif; Dagli, Mehmet (Fibonacci Assoc, 2022)We have recently introduced the bi-periodic incomplete Horadam numbers as a generalization of incomplete Horadam numbers, and studied their properties. In this paper, we provide some combinatorial interpretations of ...
