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Dive into the research topics where Dorota Bród is active.

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Featured researches published by Dorota Bród.


Discrete Applied Mathematics | 2013

On a new type of distance Fibonacci numbers

Iwona Włoch; Urszula Bednarz; Dorota Bród; Andrzej Włoch; Małgorzata Wołowiec-Musiał

In this paper, we define a new kind of Fibonacci numbers generalized in the distance sense. This generalization is related to distance Fibonacci numbers and distance Lucas numbers, introduced quite recently. We also study distinct properties of these numbers for negative integers. Their representations and interpretations in graphs are also studied.


Journal of Applied Mathematics | 2015

On Distance

Dorota Bród

We introduce three new two-parameter generalizations of Fibonacci numbers. These generalizations are closely related to -distance Fibonacci numbers introduced recently. We give combinatorial and graph interpretations of distance -Fibonacci numbers. We also study some properties of these numbers.


Australasian J. Combinatorics | 2006

(r,k)

Dorota Bród; Zdzisław Skupień


Ars Combinatoria | 2013

-Fibonacci Numbers and Their Combinatorial and Graph Interpretations

Dorota Bród; Krzysztof Piejko; Iwona Włoch


Ars Combinatoria | 2015

Trees with extremal numbers of dominating sets.

Urszula Bednarz; Dorota Bród; Iwona Włoch; Małgorzata Wołowiec-Musiał


Discrete Mathematics & Theoretical Computer Science | 2008

Distance Fibonacci numbers, distance Lucas numbers and their applications.

Dorota Bród; Zdzis law Skupień


Ars Combinatoria | 2014

On three types of (2, k)-distance Fibonacci numbers and number decompositions.

Urszula Bednarz; Dorota Bród; Małgorzata Wołowiec-Musiał


Opuscula Mathematica | 2017

Recurrence among trees with most numerous efficient dominating sets

Urszula Bednarz; Dorota Bród; Anetta Szynal-Liana; Iwona Włoch; Małgorzata Wołowiec-Musiał


Przeszłość Demograficzna Polski | 2016

On two types of (2, k)-distance Lucas numbers.

Dorota Bród; Piotr Rachwał; Paweł Strzelecki


Australasian J. Combinatorics | 2013

On Fibonacci numbers in edge coloured trees

Dorota Bród

Collaboration


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Urszula Bednarz

Rzeszów University of Technology

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Iwona Włoch

Rzeszów University of Technology

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Andrzej Włoch

Rzeszów University of Technology

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Anetta Szynal-Liana

Rzeszów University of Technology

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Krzysztof Piejko

Rzeszów University of Technology

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Zdzis law Skupień

AGH University of Science and Technology

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Zdzisław Skupień

AGH University of Science and Technology

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