New Narayana Triangle

Kuloğlu, Bahar; Özkan, Engi̇n

doi:10.46939/j.sci.arts-22.3-a04

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2024

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“…The Hosoya's triangle was later taken by the two-dimensional recurrence relation of the Fibonacci triangle also twothree-, …, dimensional recurrence relation of Jacobsthal numbers is handled [2]. Then these studies expanded to number sequences such as Padovan and Narayana [3,4], which consist of three recurrences.…”

Section: Introductionmentioning

confidence: 99%

ON THE (p,q)-NARAYANA n-DIMENSIONAL RECURRENCES

KULOĞLU,

ÖZKAN

2023

J. Sci. Arts

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Section: Introductionmentioning

confidence: 99%

ON THE (p,q)-NARAYANA n-DIMENSIONAL RECURRENCES

KULOĞLU,

ÖZKAN

2023

J. Sci. Arts

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A new graph labeling with Tribonacci, Fibonacci and Triangular numbers

Ignatius,

Kaspar

2024

Discov Sustain

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In this paper, a new graph labeling technique using three sequences of numbers, namely Tribonacci, Fibonacci and Triangular is introduced. They are named as Tribo-Fibo-Triangular labeling and denoted as TF$$\Delta $$ Δ labeling. Assignment of the labeling is done based on the families of generalized Petersen graphs GP (n,2), GP(n,3) and a generalization of these graph are also presented. Applications related to recruitment of employees in a health care sector and the selection of teams in a school ambience are arrived by using of these three sequences of graphs along with computational intelligence. A board game is developed and presented using these three sequences.

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New Narayana Triangle

Abstract: In this paper, inspiring Hosoya’s triangle, we define a new Narayana triangle. Then, we represent this Narayana triangle geometrically on the plane. In addition, we give some identities and properties of the new Narayana triangle.

Cited by 2 publications

References 15 publications

ON THE (p,q)-NARAYANA n-DIMENSIONAL RECURRENCES

ON THE (p,q)-NARAYANA n-DIMENSIONAL RECURRENCES

A new graph labeling with Tribonacci, Fibonacci and Triangular numbers

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