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- Dorota Bród, Zdzislaw Skupien
- Australasian J. Combinatorics
- 2006

- Iwona Wloch, Urszula Bednarz, Dorota Bród, Andrzej Wloch, Malgorzata Wolowiec-Musial
- Discrete Applied Mathematics
- 2013

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. © 2013… (More)

- Dorota Bród, Krzysztof Piejko, Iwona Wloch
- Ars Comb.
- 2013

- Dorota Bród, Zdzislaw Skupien
- Discrete Mathematics & Theoretical Computer…
- 2008

- Urszula Bednarz, Dorota Bród, Malgorzata Wolowiec-Musial
- Ars Comb.
- 2014

- Dorota Bród
- J. Applied Mathematics
- 2015

- Dorota Bród, D. Bród
- 2011

A subset Q ⊆ V (G) is a dominating set of a graph G if each vertex in V (G) is either in Q or is adjacent to a vertex in Q. A dominating set Q of G is minimal if Q contains no dominating set of G as a proper subset. In this paper we study the number of minimal dominating sets in some classes of trees. Mathematics Subject Classification: 05C69

- Urszula Bednarz, Dorota Bród, Krzysztof Piejko, Andrzej Wloch
- Ars Comb.
- 2013

- Dorota Bród
- Australasian J. Combinatorics
- 2013

A dominating set of a graph G = (V,E) is a subset D of V such that every vertex of V − D is adjacent to a vertex in D. In this paper we introduce a generalization of domination as follows. For graphs G and H, an H-matching M of G is a subgraph of G such that all components of M are isomorphic to H. An H-dominating matching of G is a Hmatching D of G such… (More)

- Urszula Bednarz, Dorota Bród, Iwona Wloch, Malgorzata Wolowiec-Musial
- Ars Comb.
- 2015

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