Search Results - "Georgiadis, Loukas"
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An O( n log n ) version of the Averbakh–Berman algorithm for the robust median of a tree
Published in Operations research letters (2008)“…We show that the minmax regret median of a tree can be found in O( n log n ) time. This is obtained by a modification of Averbakh and Berman's O( n log 2 n…”
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Sparse certificates for 2-connectivity in directed graphs
Published in Theoretical computer science (25-10-2017)“…Motivated by the emergence of large-scale networks in today's applications, we show how to compute efficiently smaller subgraphs that maintain some properties…”
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3
Finding dominators via disjoint set union
Published in Journal of discrete algorithms (Amsterdam, Netherlands) (01-11-2013)“…The problem of finding dominators in a directed graph has many important applications, notably in global optimization of computer code. Although linear and…”
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Strong Articulation Points and Strong Bridges in Large Scale Graphs
Published in Algorithmica (01-03-2016)“…Let G = ( V , E ) be a directed graph. A vertex v ∈ V (respectively an edge e ∈ E ) is a strong articulation point (respectively a strong bridge ) if its…”
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Join-Reachability Problems in Directed Graphs
Published in Theory of computing systems (01-08-2014)“…For a given collection of directed graphs we define the join-reachability graph of , denoted by , as the directed graph that, for any pair of vertices u and v…”
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Corrections to “Finding dominators via disjoint set union” [J. Discrete Algorithms 23 (2013) 2–20]
Published in Journal of discrete algorithms (Amsterdam, Netherlands) (01-05-2014)Get full text
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2$-Fault-Tolerant Strong Connectivity Oracles
Published 01-11-2023“…We study the problem of efficiently answering strong connectivity queries under two vertex failures. Given a directed graph $G$ with $n$ vertices, we provide a…”
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Linear-Time Algorithms for Computing Twinless Strong Articulation Points and Related Problems
Published 08-07-2020“…A directed graph $G=(V,E)$ is twinless strongly connected if it contains a strongly connected spanning subgraph without any pair of antiparallel (or twin)…”
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On 2-strong connectivity orientations of mixed graphs and related problems
Published 04-02-2023“…A mixed graph $G$ is a graph that consists of both undirected and directed edges. An orientation of $G$ is formed by orienting all the undirected edges of $G$,…”
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Finding Dominators in Practice
Published in Journal of graph algorithms and applications (2006)Get full text
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Improved Linear-Time Algorithm for Computing the $4$-Edge-Connected Components of a Graph
Published 19-08-2021“…We present an improved algorithm for computing the $4$-edge-connected components of an undirected graph in linear time. The new algorithm uses only elementary…”
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Computing the $4$-Edge-Connected Components of a Graph in Linear Time
Published 06-05-2021“…We present the first linear-time algorithm that computes the $4$-edge-connected components of an undirected graph. Hence, we also obtain the first linear-time…”
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On maximal k-edge-connected subgraphs of undirected graphs
Published 11-11-2022“…We show how to find and efficiently maintain maximal k-edge-connected subgraphs in undirected graphs. In particular, we provide the following results. (1) A…”
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Incremental Strong Connectivity and 2-Connectivity in Directed Graphs
Published 27-02-2018“…In this paper, we present new incremental algorithms for maintaining data structures that represent all connectivity cuts of size one in directed graphs…”
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A Note on Fault Tolerant Reachability for Directed Graphs
Published 24-11-2015“…In this note we describe an application of low-high orders in fault-tolerant network design. Baswana et al. [DISC 2015] study the following reachability…”
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Incremental $2$-Edge-Connectivity in Directed Graphs
Published 24-07-2016“…In this paper, we initiate the study of the dynamic maintenance of $2$-edge-connectivity relationships in directed graphs. We present an algorithm that can…”
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Linear-time algorithms for dominators and related problems
Published 01-01-2005“…This dissertation deals with several topics related to the problem of finding dominators in flowgraphs. The concept of dominators has applications in various…”
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Dissertation -
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Linear-time algorithms for dominators and related problems
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Dissertation -
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Strong Connectivity in Directed Graphs under Failures, with Application
Published 09-11-2015“…In this paper, we investigate some basic connectivity problems in directed graphs (digraphs). Let $G$ be a digraph with $m$ edges and $n$ vertices, and let…”
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On Low-High Orders of Directed Graphs: Incremental Algorithms and Applications
Published 23-08-2016“…A flow graph $G=(V,E,s)$ is a directed graph with a distinguished start vertex $s$. The dominator tree $D$ of $G$ is a tree rooted at $s$, such that a vertex…”
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