Search Results - "computer science - data structures and algorithms"
-
1
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,…”
Get full text
Journal Article -
2
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…”
Get full text
Journal Article -
3
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…”
Get full text
Journal Article -
4
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…”
Get full text
Journal Article -
5
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…”
Get full text
Journal Article -
6
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…”
Get full text
Journal Article -
7
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…”
Get full text
Journal Article -
8
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 set…”
Get full text
Journal Article -
9
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…”
Get full text
Journal Article -
10
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…”
Get full text
Journal Article -
11
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…”
Get full text
Journal Article -
12
Token Swapping on Trees
ISSN: 1365-8050, 1365-8050Published: Discrete Mathematics & Theoretical Computer Science 2023Published in Discrete mathematics and theoretical computer science (2023)“…The input to the token swapping problem is a graph with vertices $v_1, v_2, \ldots, v_n$, and $n$ tokens with labels $1, 2, \ldots, n$, one on each vertex. The…”
Get full text
Journal Article -
13
Constant-delay enumeration for SLP-compressed documents
ISSN: 1860-5974, 1860-5974Published: Logical Methods in Computer Science e.V 01.01.2025Published in Logical methods in computer science (01.01.2025)“…We study the problem of enumerating results from a query over a compressed document. The model we use for compression are straight-line programs (SLPs), which…”
Get full text
Journal Article -
14
A Practical Algorithm with Performance Guarantees for the Art Gallery Problem
ISSN: 1365-8050, 1365-8050Published: Discrete Mathematics & Theoretical Computer Science 24.06.2024Published in Discrete mathematics and theoretical computer science (24.06.2024)“…Given a closed simple polygon $P$, we say two points $p,q$ see each other if the segment $pq$ is fully contained in $P$. The art gallery problem seeks a…”
Get full text
Journal Article -
15
Fine-grained Meta-Theorems for Vertex Integrity
ISSN: 1860-5974, 1860-5974Published: Logical Methods in Computer Science e.V 03.12.2024Published in Logical methods in computer science (03.12.2024)“…Vertex Integrity is a graph measure which sits squarely between two more well-studied notions, namely vertex cover and tree-depth, and that has recently gained…”
Get full text
Journal Article -
16
A tree structure for dynamic facility location
ISSN: 0178-4617, 1432-0541Published: Springer Verlag 2020Published in Algorithmica (2020)“…In this paper, we study the problem of dynamic facility location. We maintain a solution with cost O(1) times the cost of an optimal solution in metric spaces…”
Get full text
Journal Article -
17
A simple polynomial-time approximation algorithm for the total variation distance between two product distributions
ISSN: 2751-4838, 2751-4838Published: TheoretiCS Foundation e.V 15.06.2023Published in TheoretiCS (15.06.2023)“…We give a simple polynomial-time approximation algorithm for the total variation distance between two product distributions…”
Get full text
Journal Article -
18
Optimizing tree decompositions in MSO
ISSN: 1860-5974, 1860-5974Published: Logical Methods in Computer Science e.V 03.02.2022Published in Logical methods in computer science (03.02.2022)“…The classic algorithm of Bodlaender and Kloks [J. Algorithms, 1996] solves the following problem in linear fixed-parameter time: given a tree decomposition of…”
Get full text
Journal Article -
19
An improved algorithm for the vertex cover $P_3$ problem on graphs of bounded treewidth
ISSN: 1365-8050, 1365-8050Published: Discrete Mathematics & Theoretical Computer Science 04.11.2019Published in Discrete mathematics and theoretical computer science (04.11.2019)“…Given a graph $G=(V,E)$ and a positive integer $t\geq2$, the task in the vertex cover $P_t$ ($VCP_t$) problem is to find a minimum subset of vertices…”
Get full text
Journal Article -
20
On the Advice Complexity of Online Matching on the Line
ISSN: 1365-8050, 1365-8050Published: Discrete Mathematics & Theoretical Computer Science 01.01.2024Published in Discrete mathematics and theoretical computer science (01.01.2024)“…We consider the matching problem on the line with advice complexity. We give a 1-competitive online algorithm with advice complexity $n-1,$ and show that there…”
Get full text
Journal Article