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Network design problems aim to compute low-cost structures such as routes, trees and subgraphs. Often, it is natural and desirable to require that these structures have small hop length or hop diameter. Unfortunately, optimization problems…

数据结构与算法 · 计算机科学 2020-11-13 Bernhard Haeupler , D Ellis Hershkowitz , Goran Zuzic

We review mathematically tractable models for connected networks on random points in the plane, emphasizing the class of proximity graphs which deserves to be better known to applied probabilists and statisticians. We introduce and motivate…

概率论 · 数学 2011-01-06 David J. Aldous , Julian Shun

Efficient marketing or awareness-raising campaigns seek to recruit $n$ influential individuals -- where $n$ is the campaign budget -- that are able to cover a large target audience through their social connections. So far most of the…

社会与信息网络 · 计算机科学 2012-12-21 Konstantin Avrachenkov , Prithwish Basu , Giovanni Neglia , Bruno Ribeiro , Don Towsley

The random greedy algorithm for constructing a large partial Steiner-Triple-System is defined as follows. We begin with a complete graph on $n$ vertices and proceed to remove the edges of triangles one at a time, where each triangle removed…

组合数学 · 数学 2010-04-15 Tom Bohman , Alan Frieze , Eyal Lubetzky

Path-aware networking architectures like SCION provide end-hosts with explicit control over inter-domain routing, while multipath transport protocols like MPTCP and MPQUIC enable the concurrent use of multiple paths. This combination…

网络与互联网体系结构 · 计算机科学 2025-09-09 Alissa Baumeister , Sina Keshvadi

The Internet is a loose amalgamation of independent service providers acting in their own self-interest. We examine the implications of this economic reality on peering relationships. Specifically, we consider how the incentives of the…

计算机科学与博弈论 · 计算机科学 2007-05-23 Jacomo Corbo , Thomas Petermann

We study sublinear time algorithms for estimating the size of maximum matching in graphs. Our main result is a $(\frac{1}{2}+\Omega(1))$-approximation algorithm which can be implemented in $O(n^{1+\epsilon})$ time, where $n$ is the number…

数据结构与算法 · 计算机科学 2022-06-28 Soheil Behnezhad , Mohammad Roghani , Aviad Rubinstein , Amin Saberi

We study randomized gossip-based processes in dynamic networks that are motivated by discovery processes in large-scale distributed networks like peer-to-peer or social networks. A well-studied problem in peer-to-peer networks is the…

分布式、并行与集群计算 · 计算机科学 2012-02-10 Bernhard Haeupler , Gopal Pandurangan , David Peleg , Rajmohan Rajaraman , Zhifeng Sun

Motivated by the increasing availability of vehicle trajectory data, we propose learn-to-route, a comprehensive trajectory-based routing solution. Specifically, we first construct a graph-like structure from trajectories as the routing…

机器学习 · 计算机科学 2018-02-23 Chenjuan Guo , Bin Yang , Jilin Hu , Christian S. Jensen

The paper is divided in to two parts. In the first part we present some new results for the \textit{routing via matching} model introduced by Alon et al\cite{5}. This model can be viewed as a communication scheme on a distributed network.…

离散数学 · 计算机科学 2016-04-29 Indranil Banerjee , Dana Richards

We analyzed the non-Gaussian nature of network traffic using some Internet traffic data. We found that (1) the non-Gaussian nature degrades network performance, (2) it is caused by `greedy flows' that exist with non-negligible probability,…

网络与互联网体系结构 · 计算机科学 2007-05-23 Tatsuya Mori , Ryoichi Kawahara , Shozo Naito

A weakness of next-hop routing is that following a link or router failure there may be no routes between some source-destination pairs, or packets may get stuck in a routing loop as the protocol operates to establish new routes. In this…

数据结构与算法 · 计算机科学 2014-11-12 Glencora Borradaile , W. Sean Kennedy , Gordon Wilfong , Lisa Zhang

Topology is a fundamental part of a network that governs connectivity between nodes, the amount of data flow and the efficiency of data flow between nodes. In traditional networks, due to physical limitations, topology remains static for…

数据库 · 计算机科学 2010-05-27 Tanu Malik , Raghvendra Prasad , Sanket Patil , Amitabh Chaudhary , Venkat Venkatasubramanian

We focus on the problem of performing random walks efficiently in a distributed network. Given bandwidth constraints, the goal is to minimize the number of rounds required to obtain a random walk sample. We first present a fast sublinear…

分布式、并行与集群计算 · 计算机科学 2010-03-03 Atish Das Sarma , Danupon Nanongkai , Gopal Pandurangan , Prasad Tetali

We investigate a probabilistic model for routeing in a multihop ad-hoc communication network, where each user sends a message to the base station. Messages travel in hops via other users, used as relays. Their trajectories are chosen at…

最优化与控制 · 数学 2019-02-18 Wolfgang König , András Tóbiás

A $t$-spanner of a graph is a subgraph that $t$-approximates pairwise distances. The greedy algorithm is one of the simplest and most well-studied algorithms for constructing a sparse spanner: it computes a $t$-spanner with $n^{1+O(1/t)}$…

数据结构与算法 · 计算机科学 2023-08-03 Bernhard Haeupler , D Ellis Hershkowitz , Zihan Tan

By introducing a simple model based on two-dimensional cellular automata, we reveal the relationship between the routing strategies of individual vehicles and the global behavior of transportation networks. Specifically, we characterize the…

物理与社会 · 物理学 2019-07-31 Tak Shing Tai , Chi Ho Yeung

Randomized greedy algorithms form one of the simplest yet most effective approaches for computing approximate matchings in graphs. In this paper, we focus on the class of vertex-iterative (VI) randomized greedy matching algorithms, which…

数据结构与算法 · 计算机科学 2026-04-02 Mahsa Derakhshan , Tao Yu

For many popular graph metric sparsifiers, such as spanners, emulators, and preservers, simple and elegant greedy algorithms are known that achieve state-of-the-art or existentially optimal tradeoffs between size and quality. The goal of…

数据结构与算法 · 计算机科学 2026-04-28 Ben Bals , Joakim Blikstad , Greg Bodwin , Daniel Dadush , Sebastian Forster , Yasamin Nazari

We consider the following fundamental routing problem. An adversary inputs packets arbitrarily at sources, each packet with an arbitrary destination. Traffic is constrained by link capacities and buffer sizes, and packets may be dropped at…

数据结构与算法 · 计算机科学 2015-01-27 Guy Even , Moti Medina , Boaz Patt-Shamir