Search Results - "Computer Science - Data Structures and Algorithms"
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1
SciPy 1.0: fundamental algorithms for scientific computing in Python
ISSN: 1548-7091, 1548-7105, 1548-7105Published: New York Nature Publishing Group US 01.03.2020Published in Nature methods (01.03.2020)“…SciPy is an open-source scientific computing library for the Python programming language. Since its initial release in 2001, SciPy has become a de facto…”
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2
Approximate Counting for Spin Systems in Sub-Quadratic Time
ISSN: 2751-4838, 2751-4838Published: TheoretiCS Foundation e.V 13.01.2025Published in TheoretiCS (13.01.2025)“…We present two randomised approximate counting algorithms with$\widetilde{O}(n^{2-c}/\varepsilon^2)$running time for some constant$c>0$and…”
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3
Testing Distributions of Huge Objects
ISSN: 2751-4838, 2751-4838Published: TheoretiCS Foundation e.V 30.12.2023Published in TheoretiCS (30.12.2023)“…We initiate a study of a new model of property testing that is a hybrid of testing properties of distributions and testing properties of strings. Specifically,…”
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4
Fully Dynamic Connectivity in$O(\log n(\log\log n)^2)$Amortized Expected Time
ISSN: 2751-4838, 2751-4838Published: TheoretiCS Foundation e.V 02.05.2023Published in TheoretiCS (02.05.2023)“…Dynamic connectivity is one of the most fundamental problems in dynamic graph algorithms. We present a randomized Las Vegas dynamic connectivity data structure…”
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5
A Refined Laser Method and Faster Matrix Multiplication
ISSN: 2751-4838, 2751-4838Published: TheoretiCS Foundation e.V 04.09.2024Published in TheoretiCS (04.09.2024)“…The complexity of matrix multiplication is measured in terms of$\omega$ , the smallest real number such that two$n\times n$matrices can be multiplied…”
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Approximating Maximum Edge 2-Coloring by Normalizing Graphs
ISSN: 1365-8050, 1365-8050Published: Discrete Mathematics & Theoretical Computer Science 01.05.2025Published in Discrete mathematics and theoretical computer science (01.05.2025)“…In a simple, undirected graph G, an edge 2-coloring is a coloring of the edges such that no vertex is incident to edges with more than 2 distinct colors. The…”
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Simpler and Unified Recognition Algorithm for Path Graphs and Directed Path Graphs
ISSN: 1365-8050, 1365-8050Published: Discrete Mathematics & Theoretical Computer Science 01.05.2025Published in Discrete mathematics and theoretical computer science (01.05.2025)“…A path graph is the intersection graph of paths in a tree. A directed path graph is the intersection graph of paths in a directed tree. Even if path graphs and…”
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Lettericity of graphs: an FPT algorithm and a bound on the size of obstructions
ISSN: 0178-4617, 1432-0541Published: Springer Verlag 19.02.2024Published in Algorithmica (19.02.2024)“…Lettericity is a graph parameter responsible for many attractive structural properties. In particular, graphs of bounded lettericity have bounded linear…”
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9
Brooks' Theorem in Graph Streams: A Single-Pass Semi-Streaming Algorithm for$\Delta$ -Coloring
ISSN: 2751-4838, 2751-4838Published: TheoretiCS Foundation e.V 25.08.2023Published in TheoretiCS (25.08.2023)“…Every graph with maximum degree$\Delta$can be colored with$(\Delta+1)$colors using a simple greedy algorithm. Remarkably, recent work has shown that one can…”
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10
On Approximability of Steiner Tree in$\ell_p$ -metrics
ISSN: 2751-4838, 2751-4838Published: TheoretiCS Foundation e.V 20.01.2025Published in TheoretiCS (20.01.2025)“…In the Continuous Steiner Tree problem (CST), we are given as input a set of points (called terminals) in a metric space and ask for the minimum-cost tree…”
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11
Exactly Hittable Interval Graphs
ISSN: 1365-8050, 1365-8050Published: Discrete Mathematics & Theoretical Computer Science 30.11.2023Published in Discrete mathematics and theoretical computer science (30.11.2023)“…Given a set system$\mathcal{X} = \{\mathcal{U},\mathcal{S}\}$ , where$\mathcal{U}$is a set of elements and$\mathcal{S}$is a set of subsets of$\mathcal{U}$ , an…”
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12
PPSZ is better than you think
ISSN: 2751-4838, 2751-4838Published: TheoretiCS Foundation e.V 13.03.2024Published in TheoretiCS (13.03.2024)“…PPSZ, for long time the fastest known algorithm for$k$ -SAT, works by going through the variables of the input formula in random order; each variable is then…”
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13
Introduction to local certification
ISSN: 1365-8050, 1462-7264, 1365-8050Published: Nancy DMTCS 01.09.2021Published in Discrete Mathematics and Theoretical Computer Science (01.09.2021)“…A distributed graph algorithm is basically an algorithm where every node of a graph can look at its neighborhood at some distance in the graph and chose its…”
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14
An Alternate Proof of Near-Optimal Light Spanners
ISSN: 2751-4838, 2751-4838Published: TheoretiCS Foundation e.V 2025Published in TheoretiCS (2025)“…In 2016, a breakthrough result of Chechik and Wulff-Nilsen [SODA '16] established that every$n$ -node graph$G$has a$(1+\varepsilon)(2k-1)$ -spanner of…”
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15
Approximate Distance Sensitivity Oracles in Subquadratic Space
ISSN: 2751-4838, 2751-4838Published: TheoretiCS Foundation e.V 05.06.2024Published in TheoretiCS (05.06.2024)“…An$f$ -edge fault-tolerant distance sensitive oracle ( $f$ -DSO) with stretch$\sigma \ge 1$is a data structure that preprocesses a given undirected, unweighted…”
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16
Strongly Sublinear Algorithms for Testing Pattern Freeness
ISSN: 2751-4838, 2751-4838Published: TheoretiCS Foundation e.V 2024Published in TheoretiCS (2024)“…For a permutation$\pi:[k] \to [k]$ , a function$f:[n] \to \mathbb{R}$contains a$\pi$ -appearance if there exists$1 \leq i_1 < i_2 < \dots < i_k \leq n$such…”
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17
On-line algorithms for multiplication and division in real and complex numeration systems
ISSN: 1365-8050, 1365-8050Published: Discrete Mathematics & Theoretical Computer Science 20.06.2019Published in Discrete mathematics and theoretical computer science (20.06.2019)“…A positional numeration system is given by a base and by a set of digits. The base is a real or complex number$\beta$such that$|\beta|>1$ , and the digit…”
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18
Search-and-Fetch with 2 Robots on a Disk: Wireless and Face-to-Face Communication Models
ISSN: 1365-8050, 1365-8050Published: Discrete Mathematics & Theoretical Computer Science 13.06.2019Published in Discrete mathematics and theoretical computer science (13.06.2019)“…We initiate the study of a new problem on searching and fetching in a distributed environment concerning treasure-evacuation from a unit disk. A treasure and…”
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19
Polynomial kernels for edge modification problems towards block and strictly chordal graphs
ISSN: 1365-8050, 1462-7264, 1365-8050Published: DMTCS 01.05.2025Published in Discrete mathematics and theoretical computer science (01.05.2025)“…We consider edge modification problems towards block and strictly chordal graphs, where one is given an undirected graph$G = (V,E)$and an integer$k \in…”
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20
Ortho-Radial Drawing in Near-Linear Time
ISSN: 2751-4838, 2751-4838Published: TheoretiCS Foundation e.V 08.04.2025Published in TheoretiCS (08.04.2025)“…An orthogonal drawing is an embedding of a plane graph into a grid. In a seminal work of Tamassia (SIAM Journal on Computing 1987), a simple combinatorial…”
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