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We develop new $(1+\epsilon)$-approximation algorithms for finding the global minimum edge-cut in a directed edge-weighted graph, and for finding the global minimum vertex-cut in a directed vertex-weighted graph. Our algorithms are…

Data Structures and Algorithms · Computer Science 2025-12-17 Ron Mosenzon

Preferential attachment lies at the heart of many network models aiming to replicate features of real world networks. To simulate the attachment process, conduct statistical tests, or obtain input data for benchmarks, efficient algorithms…

Data Structures and Algorithms · Computer Science 2023-01-18 Daniel Allendorf , Ulrich Meyer , Manuel Penschuck , Hung Tran

We show an improved parallel algorithm for decomposing an undirected unweighted graph into small diameter pieces with a small fraction of the edges in between. These decompositions form critical subroutines in a number of graph algorithms.…

Data Structures and Algorithms · Computer Science 2013-07-16 Gary L. Miller , Richard Peng , Shen Chen Xu

Using efficient point-to-point communication channels is critical for implementing fine grained parallel program on modern shared cache multi-core architectures. This report discusses in detail several implementations of wait-free…

Data Structures and Algorithms · Computer Science 2010-12-09 Massimo Torquati

We show that counting Euler tours in undirected bounded tree-width graphs is tractable even in parallel - by proving a $\#SAC^1$ upper bound. This is in stark contrast to #P-completeness of the same problem in general graphs. Our main…

Computational Complexity · Computer Science 2015-12-15 Nikhil Balaji , Samir Datta , Venkatesh Ganesan

The core numbers of vertices in a graph are one of the most well-studied cohesive subgraph models because of the linear running time. In practice, many data graphs are dynamic graphs that are continuously changing by inserting or removing…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-14 Bin Guo , Emil Sekerinski

Random graphs (or networks) have gained a significant increase of interest due to its popularity in modeling and simulating many complex real-world systems. Degree sequence is one of the most important aspects of these systems. Random…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-12 Hasanuzzaman Bhuiyan , Maleq Khan , Madhav Marathe

We present a practically efficient algorithm for maintaining a global minimum cut in large dynamic graphs under both edge insertions and deletions. While there has been theoretical work on this problem, our algorithm is the first…

Data Structures and Algorithms · Computer Science 2021-01-14 Monika Henzinger , Alexander Noe , Christian Schulz

Recent studies show that graph processing systems on a single machine can achieve competitive performance compared with cluster-based graph processing systems. In this paper, we present NXgraph, an efficient graph processing system on a…

Databases · Computer Science 2020-08-10 Yuze Chi , Guohao Dai , Yu Wang , Guangyu Sun , Guoliang Li , Huazhong Yang

Many fixed-parameter tractable algorithms using a bounded search tree have been repeatedly improved, often by describing a larger number of branching rules involving an increasingly complex case analysis. We introduce a novel and general…

Discrete Mathematics · Computer Science 2015-05-19 James Nastos , Yong Gao

CRUD operations, along with range queries make a highly useful abstract data type (ADT), employed by many dynamic analytics tasks. Despite its wide applications, to our knowledge, no fully wait-free data structure is known to support this…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-28 Gaurav Bhardwaj , Abhay Jain , Bapi Chatterjee , Sathya Peri

With the rapid growth of unstructured and semistructured data, parallelizing graph algorithms has become essential for efficiency. However, due to the inherent irregularity in computation, memory access patterns, and communication, graph…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-16 Nibedita Behera , Ashwina Kumar , Atharva Chougule , Mohammed Shan P S , Rushabh Nirdosh Lalwani , Rupesh Nasre

Non-volatile memory (NVM) promises persistent main memory that remains correct despite loss of power. This has sparked a line of research into algorithms that can recover from a system crash. Since caches are expected to remain volatile,…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-22 Naama Ben-David , Guy E. Blelloch , Michal Friedman , Yuanhao Wei

Large-scale graph processing has drawn great attention in recent years. Most of the modern-day datacenter workloads can be represented in the form of Graph Processing such as MapReduce etc. Consequently, a lot of designs for Domain-Specific…

Hardware Architecture · Computer Science 2022-09-07 Khushal Sethi

A (fully) dynamic graph algorithm is a data structure that supports edge insertions, edge deletions, and answers specific queries pertinent to the problem at hand. In this work, we address the fully dynamic edge orientation problem, also…

Data Structures and Algorithms · Computer Science 2024-07-18 Ernestine Großmann , Henrik Reinstädtler , Christian Schulz , Fabian Walliser

This paper proposes two novel distributed continuous-time algorithms inspired by PID control to solve distributed optimization problems. The algorithms are referred to as first-order and second-order, respectively, depend on the intrinsic…

Optimization and Control · Mathematics 2023-11-10 Meng Tao , Dongdong Yue , Jinde Cao

Concurrent data structures are the data sharing side of parallel programming. Data structures give the means to the program to store data, but also provide operations to the program to access and manipulate these data. These operations are…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-02-13 Daniel Cederman , Anders Gidenstam , Phuong Ha , Håkan Sundell , Marina Papatriantafilou , Philippas Tsigas

Control parallelism and data parallelism is mostly reasoned and optimized as separate functions. Because of this, workloads that are irregular, fine-grain and dynamic such as dynamic graph processing become very hard to scale. An…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-08 Bibrak Qamar Chandio , Thomas Sterling , Prateek Srivastava

In a seminal paper, Chen, Roughgarden and Valiant studied cost sharing protocols for network design with the objective to implement a low-cost Steiner forest as a Nash equilibrium of an induced cost-sharing game. One of the most intriguing…

Computer Science and Game Theory · Computer Science 2017-10-05 Tobias Harks , Anja Huber , Manuel Surek

We consider the problem of information aggregation in sensor networks, where one is interested in computing a function of the sensor measurements. We allow for block processing and study in-network function computation in directed graphs…

Information Theory · Computer Science 2015-03-19 Hemant Kowshik , P. R. Kumar
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