Zobrazeno 1 - 10
of 25
pro vyhledávání: '"PODRUG, LUKA"'
Autor:
Podrug, Luka
We define and investigate a new three-parameter family of graphs that further generalizes the Fibonacci and metallic cubes. Namely, the number of vertices in this family of graphs satisfies Horadam recurrence, a linear recurrence of second order with
Externí odkaz:
http://arxiv.org/abs/2410.03193
Autor:
Došlić, Tomislav, Podrug, Luka
We study a recursively defined two-parameter family of graphs which generalize Fibonacci cubes and Pell graphs and determine their basic structural and enumerative properties. In particular, we show that all of them are induced subgraphs of hypercube
Externí odkaz:
http://arxiv.org/abs/2307.14054
Autor:
Došlić, Tomislav, Podrug, Luka
We consider two division problems on narrow strips of square and hexagonal lattices. In both cases we compute the bivariate enumerating sequences and the corresponding generating functions, which allowed us to determine the asymptotic behavior of the
Externí odkaz:
http://arxiv.org/abs/2304.12121
Autor:
Podrug, Luka, Svrtan, Dragutin
The floor and ceiling functions appear often in mathematics and manipulating sums involving floors and ceilings is a subtle game. Fortunately, the well-known textbook Concrete Mathematics provides a nice introduction with a number of techniques expla
Externí odkaz:
http://arxiv.org/abs/2302.01900
Autor:
Došlić, Tomislav, Podrug, Luka
We prove a master identity for a class of sequences defined by full-history linear homogeneous recurrences with (non-negative) constant coefficients. The identity is derived in a combinatorial way, providing thus combinatorial proofs for many known a
Externí odkaz:
http://arxiv.org/abs/2212.06734
Autor:
Došlić, Tomislav, Podrug, Luka
In this paper we explore two types of tilings of a honeycomb strip and derive some closed form formulas for the number of tilings. Furthermore, we obtain some new identities involving tribonacci numbers, Padovan numbers and Narayana's cow sequence an
Externí odkaz:
http://arxiv.org/abs/2203.11761
Publikováno v:
In Discrete Applied Mathematics 30 January 2024 343:277-287
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Akademický článek
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