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We give the first constant-factor approximation algorithm for Sparsest Cut with general demands in bounded treewidth graphs. In contrast to previous algorithms, which rely on the flow-cut gap and/or metric embeddings, our approach exploits…

Data Structures and Algorithms · Computer Science 2010-06-24 Eden Chlamtac , Robert Krauthgamer , Prasad Raghavendra

An important objective for analyzing real-world graphs is to achieve scalable performance on large, streaming graphs. A challenging and relevant example is the graph partition problem. As a combinatorial problem, graph partition is NP-hard,…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-10 Edward Kao , Vijay Gadepally , Michael Hurley , Michael Jones , Jeremy Kepner , Sanjeev Mohindra , Paul Monticciolo , Albert Reuther , Siddharth Samsi , William Song , Diane Staheli , Steven Smith

The present article proposes a graph-based approach to customer segmentation, combining the RFM analysis with the classical optimization max-$k$-cut problem. We consider each customer as a vertex of a weighted graph, and the edge weights…

Optimization and Control · Mathematics 2025-05-14 André Luiz Corrêa Vianna Filho , Leonardo de Lima , Mariana Kleina

We design and implement two single-pass semi-streaming algorithms for the maximum weight $k$-disjoint matching ($k$-DM) problem. Given an integer $k$, the $k$-DM problem is to find $k$ pairwise edge-disjoint matchings such that the sum of…

Data Structures and Algorithms · Computer Science 2024-07-09 S M Ferdous , Bhargav Samineni , Alex Pothen , Mahantesh Halappanavar , Bala Krishnamoorthy

E2E web test suites are prone to test dependencies due to the heterogeneous multi-tiered nature of modern web apps, which makes it difficult for developers to create isolated program states for each test case. In this paper, we present the…

Software Engineering · Computer Science 2019-10-11 Matteo Biagiola , Andrea Stocco , Ali Mesbah , Filippo Ricca , Paolo Tonella

We present a nonlinear dynamical approximation method for time-dependent Partial Differential Equations (PDEs). The approach makes use of parametrized decoder functions, and provides a general, and principled way of understanding and…

Numerical Analysis · Mathematics 2025-05-20 Daan Bon , Benjamin Caris , Olga Mula

In this paper we present an algorithmic framework for solving a class of combinatorial optimization problems on graphs with bounded pathwidth. The problems are NP-hard in general, but solvable in linear time on this type of graphs. The…

Data Structures and Algorithms · Computer Science 2012-12-18 Mugurel Ionut Andreica

We present practical linear and almost linear-time algorithms to compute a chain decomposition of a directed acyclic graph (DAG), $G=(V,E)$. The number of vertex-disjoint chains computed is very close to the minimum. The time complexity of…

Data Structures and Algorithms · Computer Science 2022-12-09 Giorgos Kritikakis , Ioannis G. Tollis

We introduce a simplified model for platform game levels with falling platforms based on interval graphs and show that solvability of such levels corresponds to finding Steiner cycles or Steiner paths in the corresponding graphs. Linear…

Data Structures and Algorithms · Computer Science 2018-02-26 Ante Ćustić , Stefan Lendl

Graph partition is a key component to achieve workload balance and reduce job completion time in parallel graph processing systems. Among the various partition strategies, edge partition has demonstrated more promising performance in…

Data Structures and Algorithms · Computer Science 2020-12-18 Zhenyu Guo , Mingyu Xiao , Yi Zhou , Dongxiang Zhang , Kian-Lee Tan

Addressing the challenges of processing massive graphs, which are prevalent in diverse fields such as social, biological, and technical networks, we introduce HeiStreamE and FreightE, two innovative (buffered) streaming algorithms designed…

Data Structures and Algorithms · Computer Science 2024-02-20 Adil Chhabra , Marcelo Fonseca Faraj , Christian Schulz , Daniel Seemaier

An important thread in the study of data-stream algorithms focuses on settings where stream items are active only for a limited time. We introduce a new expiration model, where each item arrives with its own expiration time. The special…

Data Structures and Algorithms · Computer Science 2025-09-10 Lotte Blank , Sergio Cabello , MohammadTaghi Hajiaghayi , Robert Krauthgamer , Sepideh Mahabadi , André Nusser , Jeff M. Phillips , Jonas Sauer

Automated slicing aims to identify subsets of evaluation data where a trained model performs anomalously. This is an important problem for machine learning pipelines in production since it plays a key role in model debugging and comparison,…

Machine Learning · Computer Science 2022-12-20 Zifan Liu , Evan Rosen , Paul Suganthan G. C

In this paper, we introduce a new model for sublinear algorithms called \emph{dynamic sketching}. In this model, the underlying data is partitioned into a large \emph{static} part and a small \emph{dynamic} part and the goal is to compute a…

Data Structures and Algorithms · Computer Science 2015-10-13 Sepehr Assadi , Sanjeev Khanna , Yang Li , Val Tannen

Monitoring the performance of large shared computing systems such as the cloud computing infrastructure raises many challenging algorithmic problems. One common problem is to track users with the largest deviation from the norm (outliers),…

Databases · Computer Science 2009-07-20 Chiranjeeb Buragohain , Luca Foschini , Subhash Suri

User-defined keyword spotting on a resource-constrained edge device is challenging. However, keywords are often bounded by a maximum keyword length, which has been largely under-leveraged in prior works. Our analysis of keyword-length…

Audio and Speech Processing · Electrical Eng. & Systems 2024-09-17 Kumari Nishu , Minsik Cho , Devang Naik

The Closest String Problem is an NP-hard problem that aims to find a string that has the minimum distance from all sequences that belong to the given set of strings. Its applications can be found in coding theory, computational biology, and…

Artificial Intelligence · Computer Science 2024-07-19 Alireza Abdi , Marko Djukanovic , Hesam Tahmasebi Boldaji , Hadis Salehi , Aleksandar Kartelj

A gradual type system allows developers to declare certain types to be enforced by the compiler (i.e., statically typed), while leaving other types to be enforced via runtime checks (i.e., dynamically typed). When runtime checks fail,…

Programming Languages · Computer Science 2025-03-03 Felipe Bañados Schwerter , Ronald Garcia , Reid Holmes , Karim Ali

Given a graph, the sparsest cut problem asks for a subset of vertices whose edge expansion (the normalized cut given by the subset) is minimized. In this paper, we study a generalization of this problem seeking for $ k $ disjoint subsets of…

Data Structures and Algorithms · Computer Science 2017-02-21 Ramin Javadi , Saleh Ashkboos

We study the vertex-decremental Single-Source Shortest Paths (SSSP) problem: given an undirected graph $G=(V,E)$ with lengths $\ell(e)\geq 1$ on its edges and a source vertex $s$, we need to support (approximate) shortest-path queries in…

Data Structures and Algorithms · Computer Science 2019-05-29 Julia Chuzhoy , Sanjeev Khanna