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We provide novel deterministic distributed vertex coloring algorithms. As our main result, we give a deterministic distributed algorithm to compute a $(\Delta+1)$-coloring of an $n$-node graph with maximum degree $\Delta$ in…

数据结构与算法 · 计算机科学 2019-07-10 Fabian Kuhn

Many search engines such as Google, Bing & Yahoo! show search suggestions when users enter search phrases on their interfaces. These suggestions are meant to assist the user in finding what she wants quickly and also suggesting common…

数据结构与算法 · 计算机科学 2021-11-01 Dhruv Matani

Assume that an $N$-bit sequence $S$ of $k$ numbers encoded as Elias gamma codes is given as input. We present space-efficient algorithms for sorting, dense ranking and competitive ranking on $S$ in the word RAM model with word size…

数据结构与算法 · 计算机科学 2024-09-04 Frank Kammer , Johannes Meintrup , Andrej Sajenko

We present linear-space data structures for several frequency queries on trees, namely: path mode, path least frequent element, and path $\alpha$-minority queries. We present the first linear-space data structures, requiring $O(n…

数据结构与算法 · 计算机科学 2026-04-22 Ovidiu Rata

Many problems in areas as diverse as recommendation systems, social network analysis, semantic search, and distributed root cause analysis can be modeled as pattern search on labeled graphs (also called "heterogeneous information networks"…

社会与信息网络 · 计算机科学 2018-04-12 Xiaofeng Yang , Deepak Ajwani , Wolfgang Gatterbauer , Patrick K. Nicholson , Mirek Riedewald , Alessandra Sala

$k$-Coloring Reconfiguration is one of the most well-studied reconfiguration problems, which asks to transform a given proper $k$-coloring of a graph to another by repeatedly recoloring a single vertex. Its approximate version, Maxmin…

计算复杂性 · 计算机科学 2025-04-01 Shuichi Hirahara , Naoto Ohsaka

Keyword-based web queries with local intent retrieve web content that is relevant to supplied keywords and that represent points of interest that are near the query location. Two broad categories of such queries exist. The first encompasses…

数据库 · 计算机科学 2016-08-01 Dingming Wu , Christian S. Jensen

A classic data structure problem is to preprocess a string T of length $n$ so that, given a query $q$, we can quickly find all substrings of T with Hamming distance at most $k$ from the query string. Variants of this problem have seen…

数据结构与算法 · 计算机科学 2026-04-03 Jackson Bibbens , Levi Borevitz , Samuel McCauley

Consider a pair of plane straight-line graphs, whose edges are colored red and blue, respectively, and let n be the total complexity of both graphs. We present a O(n log n)-time O(n)-space technique to preprocess such pair of graphs, that…

计算几何 · 计算机科学 2017-05-09 John Iacono , Elena Khramtcova , Stefan Langerman

Tensors, especially higher-order tensors, are typically represented in low-rank formats to preserve the main information of the high-dimensional data while saving memory space. In practice, only a small fraction elements in high-dimensional…

数值分析 · 数学 2025-11-12 Chuanfu Xiao , Jiaxin Zeng

We present a new algorithm for subsequence matching in grammar compressed strings. Given a grammar of size $n$ compressing a string of size $N$ and a pattern string of size $m$ over an alphabet of size $\sigma$, our algorithm uses…

数据结构与算法 · 计算机科学 2014-06-06 Philip Bille , Patrick Hagge Cording , Inge Li Gørtz

We solve, in a fully decentralised way (\ie with no message passing), the classic problem of colouring a graph. We propose a novel algorithm that is automatically responsive to topology changes, and we prove that it converges quickly to a…

数据结构与算法 · 计算机科学 2017-09-05 Alessandro Checco , Douglas J. Leith

In this paper we present a deterministic CONGEST algorithm to compute an $O(k\Delta)$-vertex coloring in $O(\Delta/k)+\log^* n$ rounds, where $\Delta$ is the maximum degree of the network graph and $1\leq k\leq O(\Delta)$ can be freely…

数据结构与算法 · 计算机科学 2023-02-28 Yannic Maus

Since the 1960s Mastermind has been studied for the combinatorial and information theoretical interest the game has to offer. Many results have been discovered starting with Erd\H{o}s and R\'enyi determining the optimal number of queries…

组合数学 · 数学 2023-09-20 Anders Martinsson , Pascal Su

Given a set $P$ of coloured points on the real line, we study the problem of answering range $\alpha$-majority (or "heavy hitter") queries on $P$. More specifically, for a query range $Q$, we want to return each colour that is assigned to…

数据结构与算法 · 计算机科学 2012-12-05 Amr Elmasry , Meng He , J. Ian Munro , Patrick K. Nicholson

Document retrieval is one of the best established information retrieval activities since the sixties, pervading all search engines. Its aim is to obtain, from a collection of text documents, those most relevant to a pattern query. Current…

信息检索 · 计算机科学 2013-10-01 Gonzalo Navarro

We consider the scenario of $n$ sensor nodes observing streams of data. The nodes are connected to a central server whose task it is to compute some function over all data items observed by the nodes. In our case, there exists a total order…

数据结构与算法 · 计算机科学 2017-09-22 Felix Biermeier , Björn Feldkord , Manuel Malatyali , Friedhelm Meyer auf der Heide

We consider the problem of encoding two-dimensional arrays, whose elements come from a total order, for answering \topk{} queries. The aim is to obtain encodings that use space close to the information-theoretic lower bound, which can be…

数据结构与算法 · 计算机科学 2021-07-13 Seungbum Jo , Srinivasa Rao Satti

We present an index structure, called the color-index, to boost the evaluation of acyclic conjunctive queries (ACQs) over binary schemas. The color-index is based on the color refinement algorithm, a widely used subroutine for graph…

数据库 · 计算机科学 2026-01-19 Cristian Riveros , Benjamin Scheidt , Nicole Schweikardt

Given a graph $G=(V, E)$ and a list of available colors $L(v)$ for each vertex $v\in V$, where $L(v) \subseteq \{1, 2, \ldots, k\}$, List $k$-Coloring refers to the problem of assigning colors to the vertices of $G$ so that each vertex…

数据结构与算法 · 计算机科学 2023-12-14 Banu Baklan Şen , Öznur Yaşar Diner , Thomas Erlebach