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Catalog Publications

Year 2019
  • 2-Coloring number revisited

    2-Coloring number is a parameter, which is often used in the literature to bound the game chromatic number and other related parameters. However, this parameter has not been precisely studied before. In this paper we aim to fill this gap. In particular we show that the approximation of the game chromatic number by the 2-coloring number can be very poor for many graphs. Additionally we prove that the 2-coloring number may grow...

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Year 2002
Year 2012
  • A Developer's View of Application Servers Interoperability
    Publication

    The paper describes analysis of application servers interoperability that considers both the available level of integration and the required level of development complexity. Development complexity ranges from simple GUI operations to changes of undocumented features in configuration files. We verify if an integration can be established on a given level of development complexity, rather than verify if it is objectively feasible....

  • Minimalizacja szerokości pasma w sieciach radiowych metodami szkieletowego kolorowania grafów
    Publication

    Artykuł poświęcony jest szkieletowemu kolorowaniu grafów, które jest matematycznym modelem dla problemu minimalizacji szerokości pasma w sieciach radiowych. Badamy w nim zależność szkieletowej liczby chromatycznej od parametrów zagadnienia. Dowodzimy, że dla dużych wartości parametrów ta zależność jest liniowa.

  • Uczelniane eBiuro jako usługa
    Publication

    - Year 2012

    Artykuł jest wprowadzeniem w tematykę rozwijanych na Politechnice Gdańskiej usług projektu eBiuro, mającego usprawnić działanie administracji Uczelni. Szczególny nacisk położono na kwestieinterakcji z innymi działającymi już w środowisku systemami oraz na zaplanowanie integracji z usługami nowo powstającymi w ramach równoległego projektu eUczelnia. Artykuł powstał m.in. na podstawieopracowania przygotowanego przez autora dla Centrum...

Year 2003
Year 2004
Year 2016
Year 2011
Year 2023
  • Edge coloring of graphs of signed class 1 and 2
    Publication

    - DISCRETE APPLIED MATHEMATICS - Year 2023

    Recently, Behr (2020) introduced a notion of the chromatic index of signed graphs and proved that for every signed graph (G, σ) it holds that ∆(G) ≤ χ′(G,σ) ≤ ∆(G) + 1, where ∆(G) is the maximum degree of G and χ′ denotes its chromatic index. In general, the chromatic index of (G, σ) depends on both the underlying graph G and the signature σ. In the paper we study graphs G for which χ′(G, σ) does not depend on σ. To this aim we...

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  • Potyczki algorytmiczne, czyli Alicja i Bogdan w nowych sytuacjach. 3. Alicja i Bogdan remontują mieszkanie.
    Publication

    Poniższe zagadki nawiązują z jednej strony do problemu kafelkowania płaszczyzny, który jest nierozstrzygalny, z drugiej do problemu rozkroju wstęgi, który jest NP-trudny. Jednakże przypadki szczególne, które tu rozważamy, nie są tak trudne i mogą być rozwiązane za pomocą algorytmów działających w czasie wielomianowym.

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Year 2009
Year 2022
  • Infinite chromatic games

    In the paper we introduce a new variant of the graph coloring game and a new graph parameter being the result of the new game. We study their properties and get some lower and upper bounds, exact values for complete multipartite graphs and optimal, often polynomial-time strategies for both players provided that the game is played on a graph with an odd number of vertices. At the end we show that both games, the new and the classic...

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  • Weighted 2-sections and hypergraph reconstruction
    Publication

    In the paper we introduce the notion of weighted 2-sections of hypergraphs with integer weights and study the following hypergraph reconstruction problems: (1) Given a weighted graph , is there a hypergraph H such that is its weighted 2-section? (2) Given a weighted 2-section , find a hypergraph H such that is its weighted 2-section. We show that (1) is NP-hard even if G is a complete graph or integer weights w does not exceed...

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Year 2005
Year 2014
  • Interval incidence coloring of bipartite graphs

    In this paper we study the problem of interval incidence coloring of bipartite graphs. We show the upper bound for interval incidence coloring number (χii) for bipartite graphs χii≤2Δ, and we prove that χii=2Δ holds for regular bipartite graphs. We solve this problem for subcubic bipartite graphs, i.e. we fully characterize the subcubic graphs that admit 4, 5 or 6 coloring, and we construct a linear time exact algorithm for subcubic...

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  • The Backbone Coloring Problem for Small Graphs

    In this paper we investigate the values of the backbone chromatic number, derived from a mathematical model for the problem of minimization of bandwidth in radio networks, for small connected graphs and connected backbones (up to 7 vertices). We study the relationship of this parameter with the structure of the graph and compare the results with the solutions obtained using the classical graph coloring algorithms (LF, IS), modified...

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Year 2015
Year 2010
Year 2007
Year 2018
Year 2021