Search Results - "van Leeuwen, Erik Jan"
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Few induced disjoint paths for H-free graphs
Published in Theoretical computer science (04-01-2023)“…Paths P1,…,Pk in a graph G=(V,E) are mutually induced if any two distinct Pi and Pj have neither common vertices nor adjacent vertices. For a fixed integer k,…”
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Journal Article -
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Parameterized Complexity of Streaming Diameter and Connectivity Problems
Published in Algorithmica (01-09-2024)“…We initiate the investigation of the parameterized complexity of Diameter and Connectivity in the streaming paradigm. On the positive end, we show that knowing…”
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Algorithms for the rainbow vertex coloring problem on graph classes
Published in Theoretical computer science (02-10-2021)“…Given a vertex-colored graph, we say a path is a rainbow vertex path if all its internal vertices have distinct colors. The graph is rainbow vertex-connected…”
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Subexponential-Time Algorithms for Maximum Independent Set in P t -Free and Broom-Free Graphs
Published in Algorithmica (15-02-2019)“…In algorithmic graph theory, a classic open question is to determine the complexity of the Maximum Independent Set problem on Pt-free graphs, that is, on…”
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Induced Disjoint Paths and Connected Subgraphs for H-Free Graphs
Published in Algorithmica (01-09-2023)“…Paths P 1 , … , P k in a graph G = ( V , E ) are mutually induced if any two distinct P i and P j have neither common vertices nor adjacent vertices. The…”
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Quasi-Polynomial Time Approximation Schemes for Packing and Covering Problems in Planar Graphs
Published in Algorithmica (01-06-2020)“…We consider two optimization problems in planar graphs. In Maximum Weight Independent Set of Objects we are given a graph G and a family D of objects , each…”
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Subexponential-Time Algorithms for Finding Large Induced Sparse Subgraphs
Published in Algorithmica (01-08-2021)“…Let C and D be hereditary graph classes. Consider the following problem: given a graph G ∈ D , find a largest, in terms of the number of vertices, induced…”
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Parameterized Complexity of the Spanning Tree Congestion Problem
Published in Algorithmica (01-09-2012)“…We study the problem of determining the spanning tree congestion of a graph. We present some sharp contrasts in the parameterized complexity of this problem…”
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Spanners of bounded degree graphs
Published in Information processing letters (01-01-2011)“…A k-spanner of a graph G is a spanning subgraph of G in which the distance between any pair of vertices is at most k times the distance in G. We prove that for…”
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Streaming deletion problems parameterized by vertex cover
Published in Theoretical computer science (10-11-2023)“…Streaming is a model where an input graph is provided one edge at a time, instead of being able to inspect it at will. In this work, we take a parameterized…”
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Network Sparsification for Steiner Problems on Planar and Bounded-Genus Graphs
Published in 2014 IEEE 55th Annual Symposium on Foundations of Computer Science (01-10-2014)“…We propose polynomial-time algorithms that sparsify planar and bounded-genus graphs while preserving optimal or near-optimal solutions to Steiner problems. Our…”
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Conference Proceeding -
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The Parameterized Complexity of the Survivable Network Design Problem
Published in Journal of computer and system sciences (01-11-2024)Get full text
Journal Article -
13
Maximal induced matchings in K4-free and K5-free graphs
Published in Discrete Applied Mathematics (31-12-2024)“…An induced matching in a graph is a set of edges whose endpoints induce a 1-regular subgraph. It is known that every graph on n vertices has at most…”
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Maximal induced matchings in K 4 -free and K 5 -free graphs
Published in Discrete Applied Mathematics (01-12-2024)Get full text
Journal Article -
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Disjoint paths and connected subgraphs for H-free graphs
Published in Theoretical computer science (04-01-2022)“…The well-known Disjoint Paths problem is to decide if a graph contains k pairwise disjoint paths, each connecting a different terminal pair from a set of k…”
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Induced Disjoint Paths in AT-free graphs
Published in Journal of computer and system sciences (01-03-2022)“…Paths P1,…,Pk are mutually induced if any two distinct Pi and Pj have neither common vertices nor adjacent vertices (except perhaps their end-vertices). The…”
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Journal Article -
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Polynomial kernels for deletion to classes of acyclic digraphs
Published in Discrete optimization (01-08-2017)“…We consider the problem to find a set X of vertices (or arcs) with |X|≤k in a given digraph G such that D=G−X is an acyclic digraph. In its generality, this is…”
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Journal Article -
18
Upper bounding rainbow connection number by forest number
Published in Discrete mathematics (01-07-2022)“…A path in an edge-colored graph is rainbow if no two edges of it are colored the same, and the graph is rainbow-connected if there is a rainbow path between…”
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Journal Article -
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Steiner trees for hereditary graph classes: A treewidth perspective
Published in Theoretical computer science (06-05-2021)“…We consider the classical problems (Edge) Steiner Tree and Vertex Steiner Tree after restricting the input to some class of graphs characterized by a small set…”
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Journal Article -
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Complexity of metric dimension on planar graphs
Published in Journal of computer and system sciences (01-02-2017)“…•In Metric Dimension, we distinguish all pairs of vertices by few selected landmarks.•We show that Metric Dimension is NP-complete on planar graphs.•We show…”
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