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We study the classical problem of moment estimation of an underlying vector whose $n$ coordinates are implicitly defined through a series of updates in a data stream. We show that if the updates to the vector arrive in the random-order…

Data Structures and Algorithms · Computer Science 2022-07-08 David P. Woodruff , Samson Zhou

We present new, faster pseudopolynomial time algorithms for the $k$-Subset Sum problem, defined as follows: given a set $Z$ of $n$ positive integers and $k$ targets $t_1, \ldots, t_k$, determine whether there exist $k$ disjoint subsets…

Data Structures and Algorithms · Computer Science 2022-01-04 Antonis Antonopoulos , Aris Pagourtzis , Stavros Petsalakis , Manolis Vasilakis

This paper considers the global $(l,k)$-CS problem which is the problem of controlling the system in such a way that, at least $l$ and at most $k$ processes must be in the CS at a time in the network. In this paper, a distributed solution…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-17 Sayaka Kamei , Hirotsugu Kakugawa

Vizing's theorem states that every graph $G$ of maximum degree $\Delta$ can be properly edge-colored using $\Delta + 1$ colors. The fastest currently known $(\Delta+1)$-edge-coloring algorithm for general graphs is due to Sinnamon and runs…

Data Structures and Algorithms · Computer Science 2025-08-06 Anton Bernshteyn , Abhishek Dhawan

We present a simple deterministic single-pass $(2+\epsilon)$-approximation algorithm for the maximum weight matching problem in the semi-streaming model. This improves upon the currently best known approximation ratio of $(4+\epsilon)$. Our…

Data Structures and Algorithms · Computer Science 2018-11-07 Ami Paz , Gregory Schwartzman

We study techniques for solving the Maximum Satisfiability problem (MaxSAT). Our focus is on variables of degree 4. We identify cases for degree-4 variables and show how the resolution principle and the kernelization techniques can be…

Data Structures and Algorithms · Computer Science 2015-03-11 Jianer Chen , Chao Xu

We propose a new approach to the computation of the hypervolume indicator, based on partitioning the dominated region into a set of axis-parallel hyperrectangles or boxes. We present a nonincremental algorithm and an incremental algorithm,…

Discrete Mathematics · Computer Science 2015-10-09 Renaud Lacour , Kathrin Klamroth , Carlos M. Fonseca

We study computational complexity of the class of distance-constrained graph labeling problems from the fixed parameter tractability point of view. The parameters studied are neighborhood diversity and clique width. We rephrase the distance…

Discrete Mathematics · Computer Science 2015-12-04 Jiří Fiala , Tomáš Gavenčiak , Dušan Knop , Martin Koutecký , Jan Kratochvíl

The Bin Packing Problem is one of the most important optimization problems. In recent years, due to its NP-hard nature, several approximation algorithms have been presented. It is proved that the best algorithm for the Bin Packing Problem…

Data Structures and Algorithms · Computer Science 2015-08-07 Abdolahad Noori Zehmakan

In this paper we present a new algorithm for solving linear programs that requires only $\tilde{O}(\sqrt{rank(A)}L)$ iterations to solve a linear program with $m$ constraints, $n$ variables, and constraint matrix $A$, and bit complexity…

Data Structures and Algorithms · Computer Science 2015-03-06 Yin Tat Lee , Aaron Sidford

We present semi-streaming algorithms for basic graph problems that have optimal per-edge processing times and therefore surpass all previous semi-streaming algorithms for these tasks. The semi-streaming model, which is appropriate when…

Discrete Mathematics · Computer Science 2007-09-03 Mariano Zelke

We present an algorithm that given a linear program with $n$ variables, $m$ constraints, and constraint matrix $A$, computes an $\epsilon$-approximate solution in $\tilde{O}(\sqrt{rank(A)}\log(1/\epsilon))$ iterations with high probability.…

Data Structures and Algorithms · Computer Science 2020-09-02 Yin Tat Lee , Aaron Sidford

This paper focuses on the problem of automatic link selection in multi-channel multiple access control using bandit feedback. In particular, a controller assigns multiple users to multiple channels in a time-slotted system, where in each…

Systems and Control · Electrical Eng. & Systems 2026-03-09 Mevan Wijewardena , Michael J. Neely , Haipeng Luo

We study the problem of the transmission of currently observed time variable signals via a channel that is capable of sending a single binary signal only for each measurement of the underlying process. For encoding and decoding, we suggest…

Information Theory · Computer Science 2015-01-22 Nikolai Dokuchaev

We describe an algorithm computing an optimal prefix free code for $n$ unsorted positive weights in time within $O(n(1+\lg \alpha))\subseteq O(n\lg n)$, where the alternation $\alpha\in[1..n-1]$ measures the amount of sorting required by…

Data Structures and Algorithms · Computer Science 2016-02-02 Jérémy Barbay

Detecting and visualizing what are the most relevant changes in an evolving network is an open challenge in several domains. We present a fast algorithm that filters subsets of the strongest nodes and edges representing an evolving weighted…

Social and Information Networks · Computer Science 2014-11-05 Przemyslaw A. Grabowicz , Luca Maria Aiello , Filippo Menczer

The tree inclusion problem is, given two node-labeled trees $P$ and $T$ (the ``pattern tree'' and the ``target tree''), to locate every minimal subtree in $T$ (if any) that can be obtained by applying a sequence of node insertion operations…

Data Structures and Algorithms · Computer Science 2021-06-16 Tatsuya Akutsu , Jesper Jansson , Ruiming Li , Atsuhiro Takasu , Takeyuki Tamura

In this paper we initiate a systematic study of exact algorithms for well-known clustering problems, namely $k$-Median and $k$-Means. In $k$-Median, the input consists of a set $X$ of $n$ points belonging to a metric space, and the task is…

Data Structures and Algorithms · Computer Science 2022-08-16 Fedor V. Fomin , Petr A. Golovach , Tanmay Inamdar , Nidhi Purohit , Saket Saurabh

The necessity of accurate channel estimation for Successive and Parallel Interference Cancellation is well known. Iterative channel estimation and channel decoding (for instance by means of the Expectation-Maximization algorithm) is…

Information Theory · Computer Science 2016-11-17 Francisco Lazaro Blasco , Francesco Rossetto

Several papers have achieved time $O(\sqrt n m)$ for cardinality matching, starting from first principles. This results in a long derivation. We simplify the task by employing well-known concepts for maximum weight matching. We use Edmonds'…

Data Structures and Algorithms · Computer Science 2017-03-14 Harold N. Gabow