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Causality in distributed systems is a concept that has long been explored and numerous approaches have been made to use causality as a way to trace distributed system execution. Traditional approaches usually used system profiling and newer…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-14 Ishaan Lagwankar , Kanishka Wijewardena

Dynamic techniques are a scalable and effective way to analyze concurrent programs. Instead of analyzing all behaviors of a program, these techniques detect errors by focusing on a single program execution. Often a crucial step in these…

Logic in Computer Science · Computer Science 2025-09-16 Umang Mathur , Andreas Pavlogiannis , Hünkar Can Tunç , Mahesh Viswanathan

The Binary Vector Clock is a simple, yet space-efficient algorithm for generating a partial order of transactions in account-based blockchain systems. The Binary Vector Clock solves the problem of order dependency in systems such as…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-17 Lum Ramabaja

Matrix clocks are a generalization of the notion of vector clocks that allows the local representation of causal precedence to reach into an asynchronous distributed computation's past with depth $x$, where $x\ge 1$ is an integer.…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 L. M. A. Drummond , V. C. Barbosa

State-of-the-art link prediction utilizes combinations of complex features derived from network panel data. We here show that computationally less expensive features can achieve the same performance in the common scenario in which the data…

Social and Information Networks · Computer Science 2013-04-16 Conrad Lee , Bobo Nick , Ulrik Brandes , Pádraig Cunningham

A bipartite graph $G=(U,V,E)$ is convex if the vertices in $V$ can be linearly ordered such that for each vertex $u\in U$, the neighbors of $u$ are consecutive in the ordering of $V$. An induced matching $H$ of $G$ is a matching such that…

Data Structures and Algorithms · Computer Science 2023-05-17 Boris Klemz , Günter Rote

Vector clock algorithms are basic wait-free building blocks that facilitate causal ordering of events. As wait-free algorithms, they are guaranteed to complete their operations within a finite number of steps. Stabilizing algorithms allow…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-12-25 Iosif Salem , Elad Michael Schiller

The paper presents an algorithm for minimum vertex cover problem, which is an NP-Complete problem. The algorithm computes a minimum vertex cover of each input simple graph. Tested by the attached MATLAB programs, Stage 1 of the algorithm is…

Discrete Mathematics · Computer Science 2016-10-30 Gang Hu

The vertex connectivity of an $m$-edge $n$-vertex undirected graph is the smallest number of vertices whose removal disconnects the graph, or leaves only a singleton vertex. In this paper, we give a reduction from the vertex connectivity…

Data Structures and Algorithms · Computer Science 2021-04-12 Jason Li , Danupon Nanongkai , Debmalya Panigrahi , Thatchaphol Saranurak , Sorrachai Yingchareonthawornchai

We show that the VC-dimension of a graph can be computed in time $n^{\log d+1} d^{O(d)}$, where $d$ is the degeneracy of the input graph. The core idea of our algorithm is a data structure to efficiently query the number of vertices that…

Data Structures and Algorithms · Computer Science 2023-08-21 Pål Grønås Drange , Patrick Greaves , Irene Muzi , Felix Reidl

We describe a synchronous distributed algorithm which identifies the edge-biconnected components of a connected network. It requires a leader, and uses messages of size O(log |V|). The main idea is to preorder a BFS spanning tree, and then…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 David Pritchard

Given a graph of which the n vertices form a regular two-dimensional grid, and in which each (possibly weighted and/or directed) edge connects a vertex to one of its eight neighbours, the following can be done in O(scan(n)) I/Os, provided M…

Data Structures and Algorithms · Computer Science 2012-11-12 Herman Haverkort

As a fundamental tool in hierarchical graph clustering, computing connected components has been a central problem in large-scale data mining. While many known algorithms have been developed for this problem, they are either not scalable in…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-30 Jakub Łącki , Vahab Mirrokni , Michał Włodarczyk

We introduce a `concrete complexity' model for studying algorithms for matching in bipartite graphs. The model is based on the "demand query" model used for combinatorial auctions. Most (but not all) known algorithms for bipartite matching…

Computational Complexity · Computer Science 2019-06-12 Noam Nisan

Testing for causality between events in distributed executions is a fundamental problem. Vector clocks solve this problem but do not scale well. The probabilistic Bloom clock can determine causality between events with lower space, time,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-21 Anshuman Misra , Ajay D. Kshemkalyani

We study the problem of finding the cycle of minimum cost-to-time ratio in a directed graph with $ n $ nodes and $ m $ edges. This problem has a long history in combinatorial optimization and has recently seen interesting applications in…

Data Structures and Algorithms · Computer Science 2018-03-02 Karl Bringmann , Thomas Dueholm Hansen , Sebastian Krinninger

Bipartite Correlation clustering is the problem of generating a set of disjoint bi-cliques on a set of nodes while minimizing the symmetric difference to a bipartite input graph. The number or size of the output clusters is not constrained…

Data Structures and Algorithms · Computer Science 2010-12-15 Nir Ailon , Noa Avigdor-Elgrabli , Edo Liberty

Inspired by artistic practices such as beadwork and himmeli, we study the problem of threading a single string through a set of tubes, so that pulling the string forms a desired graph. More precisely, given a connected graph (where edges…

Data Structures and Algorithms · Computer Science 2024-05-29 Erik D. Demaine , Yael Kirkpatrick , Rebecca Lin

The Wiener index of a graph is the sum of all pairwise shortest-path distances between its vertices. In this paper we study the novel problem of finding a minimum Wiener connector: given a connected graph $G=(V,E)$ and a set $Q\subseteq V$…

Social and Information Networks · Computer Science 2016-10-18 Natali Ruchansky , Francesco Bonchi , David Garcia-Soriano , Francesco Gullo , Nicolas Kourtellis

Real-time systems, particularly those used in domains like automated driving, are increasingly adopting neural networks. From this trend arises the need for high-performance hardware exhibiting predictable timing behavior. While…

Hardware Architecture · Computer Science 2026-02-26 Maximilian Kirschner , Konstantin Dudzik , Ben Krusekamp , Jürgen Becker
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