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The minimum completion (fill-in) problem is defined as follows: Given a graph family $\mathcal{F}$ (more generally, a property $\Pi$) and a graph $G$, the completion problem asks for the minimum number of non-edges needed to be added to $G$…

数据结构与算法 · 计算机科学 2023-02-02 Anna Mpanti , Stavros D. Nikolopoulos , Leonidas Palios

We study the directed maximum common edge subgraph problem (DMCES) for the class of directed graphs that are finite, weakly connected, oriented, and simple. We use DMCES to define a metric on partially ordered sets that can be represented…

数据结构与算法 · 计算机科学 2020-12-07 Robert Nerem , Peter Crawford-Kahrl , Bree Cummins , Tomas Gedeon

Distributed power allocation is important for interference-limited wireless networks with dense transceiver pairs. In this paper, we aim to design low signaling overhead distributed power allocation schemes by using graph neural networks…

信号处理 · 电气工程与系统科学 2023-03-06 Yifan Gu , Changyang She , Zhi Quan , Chen Qiu , Xiaodong Xu

We consider TSP with time windows and service time. In this problem we receive a sequence of requests for a service at nodes in a metric space and a time window for each request. The goal of the online algorithm is to maximize the number of…

数据结构与算法 · 计算机科学 2015-01-27 Yossi Azar , Adi Vardi

In this paper, we consider the problems of enumerating minimal vertex covers and minimal dominating sets with capacity and/or connectivity constraints. We develop polynomial-delay enumeration algorithms for these problems on bounded-degree…

数据结构与算法 · 计算机科学 2024-11-15 Yasuaki Kobayashi , Kazuhiro Kurita , Kevin Mann , Yasuko Matsui , Hirotaka Ono

Cohesive subgraph discovery in a network is one of the fundamental problems and investigated for several decades. In this paper, we propose the Overlapping Cohesive Subgraphs with Minimum degree (OCSM) problem which combines three key…

社会与信息网络 · 计算机科学 2022-06-13 Junghoon Kim , Sungsu Lim , Jungeun Kim

We present a message-passing algorithm to solve the edge disjoint path problem (EDP) on graphs incorporating under a unique framework both traffic optimization and path length minimization. The min-sum equations for this problem present an…

无序系统与神经网络 · 物理学 2016-01-21 Fabrizio Altarelli , Alfredo Braunstein , Luca Dall'Asta , Caterina De Bacco , Silvio Franz

This paper proves strong lower bounds for distributed computing in the CONGEST model, by presenting the bit-gadget: a new technique for constructing graphs with small cuts. The contribution of bit-gadgets is twofold. First, developing…

分布式、并行与集群计算 · 计算机科学 2019-01-15 Amir Abboud , Keren Censor-Hillel , Seri Khoury , Ami Paz

The basic goal of survivable network design is to construct low-cost networks which preserve a sufficient level of connectivity despite the failure or removal of a few nodes or edges. One of the most basic problems in this area is the…

数据结构与算法 · 计算机科学 2022-11-15 Mohit Garg , Fabrizio Grandoni , Afrouz Jabal Ameli

Given a set of points in the plane, we want to establish a connection network between these points that consists of several disjoint layers. Motivated by sensor networks, we want that each layer is spanning and plane, and that no edge is…

Wireless time-sensitive networking (WTSN) is essential for Industrial Internet of Things. We address the problem of minimizing time slots needed for WTSN transmissions while ensuring reliability subject to interference constraints -- an…

信号处理 · 电气工程与系统科学 2025-01-22 Zhouyou Gu , Jihong Park , Branka Vucetic , Jinho Choi

Simultaneous Embedding with Fixed Edges (SEFE) is a problem where given $k$ planar graphs we ask whether they can be simultaneously embedded so that the embedding of each graph is planar and common edges are drawn the same. Problems of SEFE…

We give algorithms for geometric graph problems in the modern parallel models inspired by MapReduce. For example, for the Minimum Spanning Tree (MST) problem over a set of points in the two-dimensional space, our algorithm computes a…

数据结构与算法 · 计算机科学 2014-01-07 Alexandr Andoni , Aleksandar Nikolov , Krzysztof Onak , Grigory Yaroslavtsev

This paper proposes a novel branch-and-bound(BMWVC) algorithm to exactly solve the minimum weight vertex cover problem (MWVC) in large graphs. The original contribution is several new graph reduction rules, allowing to reduce a graph G and…

数据结构与算法 · 计算机科学 2019-03-15 Luzhi Wang , Chu-Min Li , Junping Zhou , Bo Jin , Minghao Yin

We present new deterministic algorithms for computing distributed weighted minimum weight cycle (MWC) in undirected and directed graphs and distributed weighted all nodes shortest cycle (ANSC) in directed graphs. Our algorithms for these…

分布式、并行与集群计算 · 计算机科学 2023-10-03 Udit Agarwal

In this paper, we consider two fundamental cut approximation problems on large graphs. We prove new lower bounds for both problems that are optimal up to logarithmic factors. The first problem is to approximate cuts in balanced directed…

数据结构与算法 · 计算机科学 2024-06-21 Yu Cheng , Max Li , Honghao Lin , Zi-Yi Tai , David P. Woodruff , Jason Zhang

We describe a new sampling-based method to determine cuts in an undirected graph. For a graph (V, E), its cycle space is the family of all subsets of E that have even degree at each vertex. We prove that with high probability, sampling the…

分布式、并行与集群计算 · 计算机科学 2010-07-22 David Pritchard , Ramakrishna Thurimella

Evolution of large scale networks demand for efficient way of communication in the networks. One way to propagate information in the network is to find vertex cover. In this paper we describe a variant of vertex cover problem naming it…

数据结构与算法 · 计算机科学 2016-06-10 Tarun Yadav , Koustav Sadhukhan , Rao Arvind Mallari

In this paper, we study the Minimum Weight Pairwise Distance Preservers (MWPDP) problem. Consider a positively weighted undirected/directed connected graph $G = (V, E, c)$ and a subset $P$ of pairs of vertices, also called demand pairs. A…

数据结构与算法 · 计算机科学 2020-07-16 Mojtaba Abdolmaleki , Yafeng Yin , Neda Masoud

In this report, we consider maximal solutions to the induced bounded-degree subgraph problem and relate it to issues concerning stream control in multiple-input multiple-output (MIMO) networks. We present a new distributed algorithm that…

网络与互联网体系结构 · 计算机科学 2007-09-10 Harish Sethu