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In this paper, we address the scheduling problem in wireless ad hoc networks by exploiting the computational advantage that comes when such scheduling problems can be represented by claw-free conflict graphs where we consider a wireless…

Information Theory · Computer Science 2017-12-05 Alper Kose , Noyan Evirgen , Hakan Gokcesu , Kaan Gokcesu , Muriel Medard

In single channel wireless networks, concurrent transmission at different links may interfere with each other. To improve system throughput, a scheduling algorithm is necessary to choose a subset of links at each time slot for data…

Combinatorics · Mathematics 2012-10-30 Ali Ghiasian , Behnaz Omoomi , Hossein Saidi

A fundamental problem in the design of wireless networks is to efficiently schedule transmission in a distributed manner. The main challenge stems from the fact that optimal link scheduling involves solving a maximum weighted independent…

Signal Processing · Electrical Eng. & Systems 2021-02-09 Zhongyuan Zhao , Gunjan Verma , Chirag Rao , Ananthram Swami , Santiago Segarra

The Maximum Weight Independent Set (MWIS) problem is a well-known NP-hard problem. For graphs $G_1, G_2$, $G_1+G_2$ denotes the disjoint union of $G_1$ and $G_2$, and for a constant $l \ge 2$, $lG$ denotes the disjoint union of $l$ copies…

Discrete Mathematics · Computer Science 2016-02-19 Andreas Brandstadt , Raffaele Mosca

Efficient scheduling of transmissions is a key problem in wireless networks. The main challenge stems from the fact that optimal link scheduling involves solving a maximum weighted independent set (MWIS) problem, which is known to be…

Signal Processing · Electrical Eng. & Systems 2023-10-09 Zhongyuan Zhao , Gunjan Verma , Chirag Rao , Ananthram Swami , Santiago Segarra

This paper focuses on the link scheduling problem in networks where signal delays between nodes are multiples of a time interval. To model such networks, a directed hypergraph is employed, along with an integer matrix that specifies the…

Information Theory · Computer Science 2024-10-28 Shenghao Yang , Jun Ma , Yanxiao Liu

For graphs $G$ and $H$, we say that $G$ is $H$-free if it does not contain $H$ as an induced subgraph. Already in the early 1980s Alekseev observed that if $H$ is connected, then the \textsc{Max Weight Independent Set} problem (MWIS)…

Data Structures and Algorithms · Computer Science 2022-02-09 Tara Abrishami , Maria Chudnovsky , Cemil Dibek , Paweł Rzążewski

We analyze the problem of scheduling in wireless networks to meet end-to-end service guarantees. Using network slicing to decouple the queueing dynamics between flows, we show that the network's ability to meet hard throughput and deadline…

Networking and Internet Architecture · Computer Science 2024-09-17 Nicholas Jones , Eytan Modiano

In wireless multi-hop networks, delay is an important metric for many applications. However, the max-weight scheduling algorithms in the literature typically focus on instantaneous optimality, in which the schedule is selected by solving a…

Signal Processing · Electrical Eng. & Systems 2022-02-18 Zhongyuan Zhao , Gunjan Verma , Ananthram Swami , Santiago Segarra

We revisit the recent polynomial-time algorithm for the MAX WEIGHT INDEPENDENT SET (MWIS) problem in bounded-degree graphs that do not contain a fixed graph whose every component is a subdivided claw as an induced subgraph [Abrishami,…

Data Structures and Algorithms · Computer Science 2024-01-15 Tara Abrishami , Maria Chudnovsky , Cemil Dibek , Marcin Pilipczuk , Paweł Rzążewski

It is shown that the performance of the maximal scheduling algorithm in wireless ad hoc networks under the hypergraph interference model can be further away from optimal than previously known. The exact worst-case performance of this…

Information Theory · Computer Science 2021-06-08 Ashwin Ganesan

This paper studies the problem of congestion control and scheduling in ad hoc wireless networks that have to support a mixture of best-effort and real-time traffic. Optimization and stochastic network theory have been successful in…

Networking and Internet Architecture · Computer Science 2009-12-13 Juan Jose Jaramillo , R. Srikant

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…

Networking and Internet Architecture · Computer Science 2018-06-29 Magnus M. Halldorsson , Tigran Tonoyan

We analyze the problem of scheduling in wireless networks to meet end-to-end service guarantees, defined by instantaneous throughput and hard packet deadlines. Using a network slicing model to decouple the queueing dynamics between flows,…

Networking and Internet Architecture · Computer Science 2026-04-21 Nicholas Jones , Eytan Modiano

We show that the Maximum Weight Independent Set problem (MWIS) can be solved in quasi-polynomial time on $H$-free graphs (graphs excluding a fixed graph $H$ as an induced subgraph) for every $H$ whose every connected component is a path or…

Data Structures and Algorithms · Computer Science 2025-09-24 Peter Gartland , Daniel Lokshtanov , Tomáš Masařík , Marcin Pilipczuk , Michał Pilipczuk , Paweł Rzążewski

In this paper we consider prioritized maximal scheduling in multi-hop wireless networks, where the scheduler chooses a maximal independent set greedily according to a sequence specified by certain priorities. We show that if the probability…

Information Theory · Computer Science 2009-01-20 Qiao Li , Rohit Negi

The Maximum Weight Independent Set (MWIS) problem on finite undirected graphs with vertex weights asks for a set of pairwise nonadjacent vertices of maximum weight sum. MWIS is one of the most investigated and most important algorithmic…

Discrete Mathematics · Computer Science 2019-01-14 Andreas Brandstädt , Raffaele Mosca

Recent studies on cloud-radio access networks assume either signal-level or scheduling-level coordination. This paper considers a hybrid coordinated scheme as a means to benefit from both policies. Consider the downlink of a multi-cloud…

Information Theory · Computer Science 2016-10-14 Ahmed Douik , Hayssam Dahrouj , Tareq Y. Al-Naffouri , Mohamed-Slim Alouini

We consider the fair allocation of indivisible items to several agents with additional conflict constraints. These are represented by a conflict graph where each item corresponds to a vertex of the graph and edges in the graph represent…

Discrete Mathematics · Computer Science 2023-08-21 Nina Chiarelli , Matjaž Krnc , Martin Milanič , Ulrich Pferschy , Joachim Schauer

The Maximum Weight Independent Set (MWIS) problem on finite undirected graphs with vertex weights asks for a set of pairwise nonadjacent vertices of maximum weight sum. MWIS is one of the most investigated and most important algorithmic…

Discrete Mathematics · Computer Science 2016-07-01 Andreas Brandstadt , Raffaele Mosca
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