Search Results - "Paz Carmi"
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Parameterized Study of Steiner Tree on Unit Disk Graphs
Published in Algorithmica (2023)“…We study the Steiner Tree problem on unit disk graphs. Given a n vertex unit disk graph G , a subset R ⊆ V ( G ) of t vertices and a positive integer k , the…”
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Approximating Maximum Diameter-Bounded Subgraph in Unit Disk Graphs
Published in Discrete & computational geometry (01-12-2021)“…We consider a well-studied generalization of the maximum clique problem which is defined as follows. Given a graph G on n vertices and a fixed parameter d ≥ 1…”
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Sensor Network Topology Design and Analysis for Efficient Data Gathering by a Mobile Mule
Published in Algorithmica (01-10-2020)“…In this paper, we study the problem of data gathering in ad-hoc sensor networks using a mobile entity called mule . The mule traverses the children of failed…”
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On the Minimum Consistent Subset Problem
Published in Algorithmica (01-07-2021)“…Let P be a set of n colored points in the d -dimensional Euclidean space. Introduced by Hart (1968), a consistent subset of P , is a set S ⊆ P such that for…”
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Bottleneck non-crossing matching in the plane
Published in Computational geometry : theory and applications (01-04-2014)“…Let P be a set of 2n points in the plane, and let MC (resp., MNC) denote a bottleneck matching (resp., a bottleneck non-crossing matching) of P. We study the…”
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An optimal algorithm for computing angle-constrained spanners
Published in Journal of computational geometry (01-11-2012)“…Let S be a set of n points in Rd and let t>1 be a real number. A graph G=(S,E) is called a t-spanner for S, if for any two points p and q in S, the…”
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On the stretch factor of convex polyhedra whose vertices are (almost) on a sphere
Published in Journal of computational geometry (01-10-2016)“…Let $P$ be a convex polyhedron in $\mathbb{R}^3$. The skeleton of $P$ is the graph whose vertices and edges are the vertices and edges of $P$, respectively. We…”
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On the stretch factor of convex Delaunay graphs
Published in Journal of computational geometry (01-06-2010)“…Let C be a compact and convex set in the plane that contains the origin in its interior, and let S be a finite set of points in the plane. The Delaunay graph…”
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Dynamic Euclidean bottleneck matching
Published in Theoretical computer science (24-10-2024)“…A fundamental question in computational geometry is for a set of input points in the Euclidean space, that is subject to discrete changes (insertion/deletion…”
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Stabbing Pairwise Intersecting Disks by Four Points
Published in Discrete & computational geometry (01-12-2023)“…In their seminal work, Danzer (Stud. Sci. Math. Hungar. 21 (1–2), 111–134 (1986)) and Stachó (Mat. Lapok 32 (1–3), 19–47 (1981–84)) established that every set…”
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Piercing pairwise intersecting geodesic disks
Published in Computational geometry : theory and applications (01-10-2021)“…Given a simple polygon P on n vertices, nr of which are reflex, and a set D of m pairwise intersecting geodesic disks in P, we show that at most 14 points in P…”
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A linear-time algorithm for minimum k-hop dominating set of a cactus graph
Published in Discrete Applied Mathematics (30-10-2022)“…Given a graph G=(V,E) and an integer k≥1, a k-hop dominating setD of G is a subset of V, such that, for every vertex v∈V, there exists a node u∈D whose…”
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Minimizing total interference in asymmetric sensor networks
Published in Theoretical computer science (08-10-2021)“…The problem of computing a connected network with minimum interference is a fundamental problem in wireless sensor networks. Several models of interference…”
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14
Piercing Diametral Disks Induced by Edges of Maximum Spanning Trees
Published in Journal of graph algorithms and applications (10-09-2024)“…Let $P$ be a set of points in the plane and let $T$ be a maximum-weight spanning tree of $P$.For an edge $(p,q)$, let $D_{pq}$ be the diametral disk induced by…”
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Piercing pairwise intersecting geodesic disks by five points
Published in Computational geometry : theory and applications (01-02-2023)“…Given a simple polygon P on n vertices and a set D of m pairwise intersecting geodesic disks in P, we show that five points in P are always sufficient to…”
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δ-Greedy t-spanner
Published in Computational geometry : theory and applications (01-01-2022)“…We introduce a new geometric spanner, δ-Greedy, whose construction is based on a generalization of the known Path-Greedy and Gap-Greedy spanners. The δ-Greedy…”
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Bounded-Hop Communication Networks
Published in Algorithmica (01-11-2018)“…We study the problem of assigning transmission ranges to radio stations in the plane such that any pair of stations can communicate within a bounded number of…”
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2\times n$ Grids have Unbounded Anagram-Free Chromatic Number
Published in The Electronic journal of combinatorics (26-08-2022)“… We show that anagram-free vertex colouring a $2\times n$ square grid requires a number of colours that increases with $n$. This answers an open question in…”
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Improved PTASs for convex barrier coverage
Published in Computational geometry : theory and applications (01-01-2021)“…Let R be a connected and closed region in the plane and let S be a set of n points (representing mobile sensors) in the interior of R. We think of R's boundary…”
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Computing maximum independent set on outerstring graphs and their relatives
Published in Computational geometry : theory and applications (01-04-2022)“…A graph G with n vertices is called an outerstring graph if it has an intersection representation with a set of n curves inside a disk such that one endpoint…”
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