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We study the sum capacity of multiple unicasts in wired and wireless multihop networks. With 2 source nodes and 2 sink nodes, there are a total of 4 independent unicast sessions (messages), one from each source to each sink node (this…

Information Theory · Computer Science 2011-04-07 Chenwei Wang , Tiangao Gou , Syed A. Jafar

In communication field, an important issue is to group users and base stations to as many as possible subnetworks satisfying certain interference constraints. These problems are usually formulated as a graph partition problems which…

Combinatorics · Mathematics 2020-09-30 Chicheng Ma , Yucong Tang , Guanghui Wang , Guiying Yan , Bo Bai

Recent outer bounds on the capacity region of Gaussian interference channels are generalized to $m$-user channels with $m>2$ and asymmetric powers and crosstalk coefficients. The bounds are again shown to give the sum-rate capacity for…

Information Theory · Computer Science 2008-01-16 Xiaohu Shang , Gerhard Kramer , Biao Chen

This paper considers the K user cognitive interference channel with one primary and K-1 secondary/cognitive transmitters with a cumulative message sharing structure, i.e cognitive transmitter $i\in [2:K]$ knows non-causally all messages of…

Information Theory · Computer Science 2013-01-29 Diana Maamari , Daniela Tuninetti , Natasha Devroye

A multiple access channel and a point-to-point channel sharing the same medium for communications are considered. We obtain an outer bound for the capacity region of this setup, and we show that this outer bound is achievable in some cases.…

Information Theory · Computer Science 2010-11-01 Anas Chaaban , Aydin Sezgin

The capacity (or maximum flow) of an unicast network is known to be equal to the minimum s-t cut capacity due to the max-flow min-cut theorem. If the topology of a network (or link capacities) is dynamically changing or unknown, it is not…

Information Theory · Computer Science 2015-06-12 Yuki Fujii , Tadashi Wadayama

This paper investigates the problem of single-source multicasting over a communication network in the presence of restricted adversaries. When the adversary is constrained to operate only on a prescribed subset of edges, classical cut-set…

Information Theory · Computer Science 2026-03-10 Christopher Hojny , Altan B. Kılıç , Sascha Kurz , Alberto Ravagnani

This paper derives a novel sum-rate outer bound for the general memoryless interference channel with three users. The derivation is a generalization of the techniques developed by Kramer and by Etkin et al for the Gaussian two-user channel.…

Information Theory · Computer Science 2011-02-04 Daniela Tuninetti

In this paper, we analyze the Gaussian X channel in the mixed interference regime. In this regime, multiple access transmission to one of the receivers is shown to be close to optimal in terms of sum rate. Three upper bounds are derived for…

Information Theory · Computer Science 2015-05-26 Praneeth Kumar , Srikrishna Bhashyam

This third part of the paper is related to the study of information flow in networks with strong interference. First, the two-receiver networks are considered. A unified outer bound for the capacity region of these networks is established.…

Information Theory · Computer Science 2013-02-18 Reza K. Farsani

This paper develops upper bounds on the end-to-end transmission capacity of multi-hop wireless networks. Potential source-destination paths are dynamically selected from a pool of randomly located relays, from which a closed-form lower…

Information Theory · Computer Science 2013-02-08 Yuxin Chen , Jeffrey G. Andrews

Due to the large size of wireless networks, it is often impractical for nodes to track changes in the complete network state. As a result, nodes have to make distributed decisions about their transmission and reception parameters based on…

Information Theory · Computer Science 2014-07-15 Vaneet Aggarwal , Youjian Liu , Ashutosh Sabharwal

An information measure based on fractional partitions of a set is used to derive a general dependence balance inequality for communication. This inequality is used to obtain new upper bounds on reliable and secret rates for multiterminal…

Information Theory · Computer Science 2026-04-14 Amin Gohari , Gerhard Kramer

We consider partially-connected $K$-user interference networks, where the transmitters have no knowledge about the channel gain values, but they are aware of network topology (or connectivity). We introduce several linear algebraic and…

Information Theory · Computer Science 2014-12-18 Navid Naderializadeh , A. Salman Avestimehr

We study the impact of delayed channel state information at the transmitters (CSIT) in two-unicast wireless networks with a layered topology and arbitrary connectivity. We introduce a technique to obtain outer bounds to the…

Information Theory · Computer Science 2015-10-06 Alireza Vahid , Ilan Shomorony , Robert Calderbank

In distributed wireless networks, nodes often do not know the topology (network size, connectivity and the channel gains) of the network. Thus, they have to compute their transmission and reception parameters in a distributed fashion. In…

Information Theory · Computer Science 2009-10-21 Vaneet Aggarwal , Salman Avestimehr , Ashutosh Sabharwal

In a wireless network with a single source and a single destination and an arbitrary number of relay nodes, what is the maximum rate of information flow achievable? We make progress on this long standing problem through a two-step approach.…

Information Theory · Computer Science 2016-11-18 Salman Avestimehr , Suhas Diggavi , David Tse

Given a positive integer $k$, $k$-set agreement is the distributed task in which each process $i\in [n]$ in a group of $n$ processing nodes starts with an input value $x_i$ in the set $\{0,\dots,k\}$, and must output a value $y_i$ such that…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-14 Pierre Fraigniaud , Minh Hang Nguyen , Ami Paz

The cut-set bound developed by Cover and El Gamal in 1979 has since remained the best known upper bound on the capacity of the Gaussian relay channel. We develop a new upper bound on the capacity of the Gaussian primitive relay channel…

Information Theory · Computer Science 2016-06-07 Xiugang Wu , Ayfer Ozgur

The cut-set bound developed by Cover and El Gamal in 1979 has since remained the best known upper bound on the capacity of the Gaussian relay channel. We develop a new upper bound on the capacity of the Gaussian primitive relay channel…

Information Theory · Computer Science 2015-10-15 Xiugang Wu , Ayfer Ozgur