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    Article

    Parameterized Inapproximability of Independent Set in H-Free Graphs

    We study the Independent Set problem in H-free graphs, i.e., graphs excluding some fixed graph H as an induced subgraph. We prove several inapproximability results both for polynomial-time and parameterized algor...

    Pavel Dvořák, Andreas Emil Feldmann, Ashutosh Rai, Paweł Rzążewski in Algorithmica (2023)

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    Chapter and Conference Paper

    Parameterized Inapproximability of Independent Set in H-Free Graphs

    We study the Independent Set problem in H-free graphs, i.e., graphs excluding some fixed graph H as an induced subgraph. We prove several inapproximability results both for polynomial-time and parameterized algor...

    Pavel Dvořák, Andreas Emil Feldmann in Graph-Theoretic Concepts in Computer Scien… (2020)

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    Chapter and Conference Paper

    On Induced Online Ramsey Number of Paths, Cycles, and Trees

    An online Ramsey game is a game between Builder and Painter, alternating in turns. They are given a fixed graph H and a an infinite set of independent vertices G. In each round Builder draws a new edge in G and P...

    Václav Blažej, Pavel Dvořák, Tomáš Valla in Computer Science – Theory and Applications (2019)

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    Article

    Parameterized Complexity of Length-bounded Cuts and Multicuts

    We study the Minimum Length-Bounded Cut problem where the task is to find a set of edges of a graph such that after removal of this set, the shortest path between two prescribed vertices is at least ...

    Pavel Dvořák, Dušan Knop in Algorithmica (2018)

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    Chapter and Conference Paper

    Local Structure Prediction with Convolutional Neural Networks for Multimodal Brain Tumor Segmentation

    Most medical images feature a high similarity in the intensities of nearby pixels and a strong correlation of intensity profiles across different image modalities. One way of dealing with – and even exploiting...

    Pavel Dvořák, Bjoern Menze in Medical Computer Vision: Algorithms for Big Data (2016)

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    Chapter and Conference Paper

    Automorphisms of the Cube \(n^d\)

    Consider a hypergraph \(H_n^d\) where the vertices are points of the d-dimensional combinatorial cube ...

    Pavel Dvořák, Tomáš Valla in Computing and Combinatorics (2016)

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    Chapter and Conference Paper

    Parametrized Complexity of Length-Bounded Cuts and Multi-cuts

    We show that the minimal length-bounded \(L\) -cut can be computed in linear time with respect to

    Pavel Dvořák, Dušan Knop in Theory and Applications of Models of Computation (2015)