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We introduce four algorithms for packet transport in complex networks. These algorithms use deterministic rules which depend, in different ways, on the degree of the node, the number of packets posted down each edge, the mean delivery time…

Networking and Internet Architecture · Computer Science 2008-02-26 B. Kujawski , G. J. Rodgers , Bosiljka Tadić

We study a path-planning problem amid a set $\mathcal{O}$ of obstacles in $\mathbb{R}^2$, in which we wish to compute a short path between two points while also maintaining a high clearance from $\mathcal{O}$; the clearance of a point is…

Computational Geometry · Computer Science 2017-06-12 Pankaj K. Agarwal , Kyle Fox , Oren Salzman

In this paper we present an algorithm for optimal processing of time-dependent sequenced route queries in road networks, i.e., given a road network where the travel time over an edge is time-dependent and a given ordered list of categories…

In "On Coding for Reliable Communication over Packet Networks" (Lun, Medard, and Effros, Proc. 42nd Annu. Allerton Conf. Communication, Control, and Computing, 2004), a capacity-achieving coding scheme for unicast or multicast over lossy…

Information Theory · Computer Science 2007-07-16 Desmond S. Lun , Muriel Medard , Ralf Koetter , Michelle Effros

We study the problem of path planning for unlabeled (indistinguishable) unit-disc robots in a planar environment cluttered with polygonal obstacles. We introduce an algorithm which minimizes the total path length, i.e., the sum of lengths…

Computational Geometry · Computer Science 2015-04-22 Kiril Solovey , Jingjin Yu , Or Zamir , Dan Halperin

A constant-workspace algorithm has read-only access to an input array and may use only O(1) additional words of $O(\log n)$ bits, where $n$ is the size of the input. We assume that a simple $n$-gon is given by the ordered sequence of its…

Computational Geometry · Computer Science 2013-06-14 Tetsuo Asano , Kevin Buchin , Maike Buchin , Matias Korman , Wolfgang Mulzer , Günter Rote , André Schulz

This paper initiates the study of I/O algorithms (minimizing cache misses) from the perspective of fine-grained complexity (conditional polynomial lower bounds). Specifically, we aim to answer why sparse graph problems are so hard, and why…

Data Structures and Algorithms · Computer Science 2017-12-06 Erik D. Demaine , Andrea Lincoln , Quanquan C. Liu , Jayson Lynch , Virginia Vassilevska Williams

In heterogeneous networks, achieving congestion avoidance is difficult because the congestion feedback from one subnetwork may have no meaning to source on other other subnetworks. We propose using changes in round-trip delay as an implicit…

Networking and Internet Architecture · Computer Science 2007-05-23 R. Jain

We revisit the classic problem of dynamically maintaining shortest paths between all pairs of nodes of a directed weighted graph. The allowed updates are insertions and deletions of nodes and their incident edges. We give worst-case…

Data Structures and Algorithms · Computer Science 2018-03-02 Ittai Abraham , Shiri Chechik , Sebastian Krinninger

Bu{\ss} et al [KDD 2020] recently proved that the problem of computing the betweenness of all nodes of a temporal graph is computationally hard in the case of foremost and fastest paths, while it is solvable in time O(n 3 T 2 ) in the case…

Data Structures and Algorithms · Computer Science 2025-01-23 Filippo Brunelli , Pierluigi Crescenzi , Laurent Viennot

Recent literature has proved that stable dynamic routing algorithms have solid theoretical foundation that makes them suitable to be implemented in a real protocol, and used in practice in many different operational network contexts. Such…

Networking and Internet Architecture · Computer Science 2008-12-18 Luca Muscariello , Diego Perino

Packet networks need to maintain state in the form of forwarding tables at each switch. The cost of this state increases as networks support ever more sophisticated per-flow routing, traffic engineering, and service chaining. Per-flow or…

Networking and Internet Architecture · Computer Science 2017-06-23 Adiseshu Hari , Urs Niesen , Gordon Wilfong

In this paper, we consider a load balancing system under a general pull-based policy. In particular, each arrival is randomly dispatched to one of the servers whose queue lengths are below a threshold, if there are any; otherwise, this…

Performance · Computer Science 2018-08-22 Xingyu Zhou , Jian Tan , Ness Shroff

We study the unit-demand capacitated vehicle routing problem in the random setting of the Euclidean plane. The objective is to visit $n$ random terminals in a square using a set of tours of minimum total length, such that each tour visits…

Data Structures and Algorithms · Computer Science 2023-04-25 Zipei Nie , Hang Zhou

This paper provides proofs of the rate stability, Harris recurrence, and epsilon-optimality of CSMA algorithms where the backoff parameter of each node is based on its backlog. These algorithms require only local information and are easy to…

Information Theory · Computer Science 2009-07-08 Libin Jiang , Devavrat Shah , Jinwoo Shin , Jean Walrand

In this letter, we propose a new routing strategy with a single free parameter $\alpha$ only based on local information of network topology. In order to maximize the packets handling capacity of underlying structure that can be measured by…

Physics and Society · Physics 2016-09-08 Chuan-Yang Yin , Bing-Hong Wang , Wen-Xu Wang , Tao Zhou , Hui-Jie Yang

This paper studies an important rate allocation problem that arises in many networked and distributed systems: steady-state traffic rate allocation from multiple sources to multiple service nodes when both (i) the access-path delay on each…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-04 Tamoghna Sarkar , Bhaskar Krishnamachari

Consider an undirected weighted graph $G = (V,E,w)$. We study the problem of computing $(1+\epsilon)$-approximate shortest paths for $S \times V$, for a subset $S \subseteq V$ of $|S| = n^r$ sources, for some $0 < r \le 1$. We devise a…

Data Structures and Algorithms · Computer Science 2021-02-15 Michael Elkin , Ofer Neiman

Distributed network optimization has been studied for well over a decade. However, we still do not have a good idea of how to design schemes that can simultaneously provide good performance across the dimensions of utility optimality,…

Networking and Internet Architecture · Computer Science 2017-07-19 Sinong Wang , Ness Shroff

This work studies the effect of hub congestion and time-sensitive demand on a hub-and-spoke location/allocation system. The Hub Location with Congestion and Time-sensitive Demand Problem is introduced, which combines these two main…

Optimization and Control · Mathematics 2024-01-17 Carmen-Ana Domínguez-Bravo , Elena Fernández , Armin Lüer-Villagra