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Finding a maximum-weight matching is a classical and well-studied problem in computer science, solvable in cubic time in general graphs. We consider the specialization called assignment problem where the input is a bipartite graph, and…

数据结构与算法 · 计算机科学 2024-10-15 Romaric Duvignau , Noël Gillet , Ralf Klasing

We study graph coloring problems in the streaming model, where the goal is to process an $n$-vertex graph whose edges arrive in a stream, using a limited space that is smaller than the trivial $O(n^2)$ bound. While prior work has largely…

数据结构与算法 · 计算机科学 2025-10-22 Sepehr Assadi , Janani Sundaresan , Helia Yazdanyar

Given a wireless network where some pairs of communication links interfere with each other, we study sufficient conditions for determining whether a given set of minimum bandwidth quality-of-service (QoS) requirements can be satisfied. We…

信息论 · 计算机科学 2015-12-11 Ashwin Ganesan

Quantum algorithms for graph problems are considered, both in the adjacency matrix model and in an adjacency list-like array model. We give almost tight lower and upper bounds for the bounded error quantum query complexity of Connectivity,…

量子物理 · 物理学 2016-12-30 Christoph Durr , Mark Heiligman , Peter Hoyer , Mehdi Mhalla

Arising user-centric graph applications such as route planning and personalized social network analysis have initiated a shift of paradigms in modern graph processing systems towards multi-query analysis, i.e., processing multiple graph…

数据库 · 计算机科学 2018-05-31 Christian Mayer , Ruben Mayer , Jonas Grunert , Kurt Rothermel , Muhammad Adnan Tariq

Recently, several works have studied the problem of view selection in graph databases. However, existing methods cannot fully exploit the graph properties of views, e.g., supergraph views and common subgraph views, which leads to a low view…

数据库 · 计算机科学 2021-05-20 Chao Zhang , Jiaheng Lu , Qingsong Guo , Xinyong Zhang , Xiaochun Han , Minqi Zhou

In this paper we isolate the combinatorial property responsible (at least in part) for the computational speedups recently observed in some quantum walk algorithms. We find that continuous-time quantum walks can exploit the covering space…

量子物理 · 物理学 2007-05-23 Tobias J. Osborne , Simone Severini

We study the problem of drawing a dynamic graph, where each vertex appears in the graph at a certain time and remains in the graph for a fixed amount of time, called the window size. This defines a graph story, i.e., a sequence of…

数据结构与算法 · 计算机科学 2019-08-28 Manuel Borrazzo , Giordano Da Lozzo , Giuseppe Di Battista , Fabrizio Frati , Maurizio Patrignani

We investigate trade-offs in static and dynamic evaluation of hierarchical queries with arbitrary free variables. In the static setting, the trade-off is between the time to partially compute the query result and the delay needed to…

数据库 · 计算机科学 2024-02-14 Ahmet Kara , Milos Nikolic , Dan Olteanu , Haozhe Zhang

In statistical network analysis, models for binary adjacency matrices satisfying vertex exchangeability are commonly used. However, such models may fail to capture key features of the data-generating process when interactions, rather than…

统计方法学 · 统计学 2025-09-03 Ayoushman Bhattacharya , Nilanjan Chakraborty , Robert Lunde

We study the density estimation problem defined as follows: given $k$ distributions $p_1, \ldots, p_k$ over a discrete domain $[n]$, as well as a collection of samples chosen from a ``query'' distribution $q$ over $[n]$, output $p_i$ that…

数据结构与算法 · 计算机科学 2024-10-31 Anders Aamand , Alexandr Andoni , Justin Y. Chen , Piotr Indyk , Shyam Narayanan , Sandeep Silwal , Haike Xu

We study the fundamental question of how efficiently suffix array entries can be accessed when the array cannot be stored explicitly. The suffix array $SA_T[1..n]$ of a text $T$ of length $n$ encodes the lexicographic order of its suffixes…

数据结构与算法 · 计算机科学 2025-10-23 Dominik Kempa , Tomasz Kociumaka

Vertex nomination is a lightly-supervised network information retrieval task in which vertices of interest in one graph are used to query a second graph to discover vertices of interest in the second graph. Similar to other information…

信息检索 · 计算机科学 2023-05-05 Keith Levin , Carey E. Priebe , Vince Lyzinski

A linear layout of a graph $ G $ consists of a linear order $\prec$ of the vertices and a partition of the edges. A part is called a queue (stack) if no two edges nest (cross), that is, two edges $ (v,w) $ and $ (x,y) $ with $ v \prec x…

We study a variant of the subgraph isomorphism problem that is of high interest to the quantum computing community. Our results give an algorithm to perform pattern matching in quantum circuits for many patterns simultaneously,…

量子物理 · 物理学 2024-02-22 Luca Mondada , Pablo Andrés-Martínez

How efficiently can we find an unknown graph using distance or shortest path queries between its vertices? Let $G = (V,E)$ be an unweighted, connected graph of bounded degree. The edge set $E$ is initially unknown, and the graph can be…

数据结构与算法 · 计算机科学 2015-02-19 Sampath Kannan , Claire Mathieu , Hang Zhou

A hypergraph is a generalization of a graph, in which a hyperedge can connect multiple vertices, modeling complex relationships involving multiple vertices simultaneously. Hypergraph pattern matching, which is to find all isomorphic…

数据库 · 计算机科学 2025-12-23 Siwoo Song , Wonseok Shin , Kunsoo Park , Giuseppe F. Italiano , Zhengyi Yang , Wenjie Zhang

Graphs are a natural representation of data from various contexts, such as social connections, the web, road networks, and many more. In the last decades, many of these networks have become enormous, requiring efficient algorithms to cut…

数据结构与算法 · 计算机科学 2021-08-11 Alexander Noe

Subgraph counting aims to count the number of occurrences of a subgraph T (aka as a template) in a given graph G. The basic problem has found applications in diverse domains. The problem is known to be computationally challenging - the…

分布式、并行与集群计算 · 计算机科学 2018-04-27 Langshi Chen , Bo Peng , Sabra Ossen , Anil Vullikanti , Madhav Marathe , Lei Jiang , Judy Qiu

In a temporal graph, each edge is available at specific points in time. Such an availability point is often represented by a ''temporal edge'' that can be traversed from its tail only at a specific departure time, for arriving in its head…

数据结构与算法 · 计算机科学 2023-01-31 Filippo Brunelli , Laurent Viennot