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There has recently been much progress on exact algorithms for the (un)weighted graph (bi)partitioning problem using branch-and-bound and related methods. In this note we present and improve an easily computable, purely combinatorial lower…

数据结构与算法 · 计算机科学 2014-10-03 Jesper Larsson Träff , Martin Wimmer

We study truthful mechanisms for allocation problems in graphs, both for the minimization (i.e., scheduling) and maximization (i.e., auctions) setting. The minimization problem is a special case of the well-studied unrelated machines…

计算机科学与博弈论 · 计算机科学 2021-06-08 George Christodoulou , Elias Koutsoupias , Annamaria Kovacs

Context: The growing size of graph-based modeling artifacts in model-driven engineering calls for techniques that enable efficient execution of graph queries. Incremental approaches based on the RETE algorithm provide an adequate solution…

软件工程 · 计算机科学 2024-07-08 Matthias Barkowsky , Holger Giese

The phenomenal growth of graph data from a wide variety of real-world applications has rendered graph querying to be a problem of paramount importance. Traditional techniques use structural as well as node similarities to find matches of a…

数据库 · 计算机科学 2021-05-14 Jithin Vachery , Akhil Arora , Sayan Ranu , Arnab Bhattacharya

While in many graph mining applications it is crucial to handle a stream of updates efficiently in terms of {\em both} time and space, not much was known about achieving such type of algorithm. In this paper we study this issue for a…

数据结构与算法 · 计算机科学 2015-09-23 Sayan Bhattacharya , Monika Henzinger , Danupon Nanongkai , Charalampos E. Tsourakakis

A $k$-ranking of a graph $G$ is a labeling of its vertices from $\{1,\ldots,k\}$ such that any nontrivial path whose endpoints have the same label contains a larger label. The least $k$ for which $G$ has a $k$-ranking is the ranking number…

组合数学 · 数学 2014-01-16 Daniel C. McDonald

The class of 2-interval graphs has been introduced for modelling scheduling and allocation problems, and more recently for specific bioinformatic problems. Some of those applications imply restrictions on the 2-interval graphs, and justify…

离散数学 · 计算机科学 2008-02-04 Philippe Gambette , Stéphane Vialette

Graph rewriting is a popular tool for the optimisation and modification of graph expressions in domains such as compilers, machine learning and quantum computing. The underlying data structures are often port graphs - graphs with labels at…

数据结构与算法 · 计算机科学 2025-03-27 Luca Mondada , Pablo Andrés-Martínez

Computing shortest distances is one of the fundamental problems on graphs, and remains a {\em challenging} task today. {\em Distance} {\em landmarks} have been recently studied for shortest distance queries with an auxiliary data structure,…

数据库 · 计算机科学 2014-01-14 Shuai Ma , Kaiyu Feng , Haixun Wang , Jianxin Li , Jinpeng Huai

Edge computing provides a cloud-like architecture where small-scale resources are distributed near the network edge, enabling applications on resource-constrained devices to offload latency-critical computations to these resources. While…

性能 · 计算机科学 2026-01-13 Muhammad Danish Waseem , Ahmed Ali-Eldin

Representation learning on graphs has been gaining attention due to its wide applicability in predicting missing links, and classifying and recommending nodes. Most embedding methods aim to preserve certain properties of the original graph…

社会与信息网络 · 计算机科学 2019-09-13 Palash Goyal , Di Huang , Sujit Rokka Chhetri , Arquimedes Canedo , Jaya Shree , Evan Patterson

In this paper, we introduce the \emph{interval query problem} on cube-free median graphs. Let $G$ be a cube-free median graph and $\mathcal{S}$ be a commutative semigroup. For each vertex $v$ in $G$, we are given an element $p(v)$ in…

数据结构与算法 · 计算机科学 2022-02-14 Soh Kumabe

In the classical cake cutting problem, a resource must be divided among agents with different utilities so that each agent believes they have received a fair share of the resource relative to the other agents. We introduce a variant of the…

数据结构与算法 · 计算机科学 2018-02-27 Rediet Abebe , Jon Kleinberg , David Parkes

An overarching issue in resource management of wireless networks is assessing their capacity: How much communication can be achieved in a network, utilizing all the tools available: power control, scheduling, routing, channel assignment and…

网络与互联网体系结构 · 计算机科学 2018-06-29 Magnus M. Halldorsson , Tigran Tonoyan

We consider the \emph{two-dimensional range maximum query (2D-RMQ)} problem: given an array $A$ of ordered values, to pre-process it so that we can find the position of the smallest element in the sub-matrix defined by a (user-specified)…

数据结构与算法 · 计算机科学 2012-04-26 Mordecai J. Golin , John Iacono , Danny Krizanc , Rajeev Raman , S. Srinivasa Rao , Sunil Shende

Edge-labeled graphs are widely used to describe relationships between entities in a database. Given a query subgraph that represents an example of what the user is searching for, we study the problem of efficiently searching for similar…

数据库 · 计算机科学 2020-05-12 Zhaoyang Shao , Davood Rafiei , Themis Palpanas

In an edge-colored graph, a traversal cost occurs at a vertex along a path when consecutive edges with different colors are traversed. The value of the traversal cost depends only on the colors of the traversed edges. This concept leads to…

数据结构与算法 · 计算机科学 2016-07-25 Didem Gözüpek , Mordechai Shalom

Subgraph query is a critical task in graph analysis with a wide range of applications across various domains. Most existing methods rely on heuristic vertex matching orderings, which may significantly degrade enumeration performance for…

数据库 · 计算机科学 2025-09-30 Linglin Yang , Lei Zou , Chunshan Zhao

Finding, counting and/or listing triangles (three vertices with three edges) in large graphs are natural fundamental problems, which received recently much attention because of their importance in complex network analysis. We provide here a…

数据结构与算法 · 计算机科学 2007-05-23 Matthieu Latapy

The vast amounts of data used in social, business or traffic networks, biology and other natural sciences are often managed in graph-based data sets, consisting of a few thousand up to billions and trillions of vertices and edges,…

数据库 · 计算机科学 2021-10-22 Matthias Hauck , Ismail Oukid , Holger Fröning