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A graph $G(V, E)$ is \emph{claw-free} if no vertex has three pairwise non-adjacent neighbours. The Maximum Weight Stable Set (MWSS) Problem in a claw-free graph is a natural generalization of the Matching Problem and has been shown to be…

Discrete Mathematics · Computer Science 2019-05-27 Paolo Nobili , Antonio Sassano

This paper addresses the problem of scheduling jobs on identical machines with conflict constraints, where certain jobs cannot be scheduled simultaneously on different machines. We focus on the case where conflicts can be represented by a…

Discrete Mathematics · Computer Science 2025-07-03 Nour ElHouda Tellache , Lydia Aoudia , Mourad Boudhar

The Maximum Weight Independent Set (MWIS) problem on graphs with vertex weights asks for a set of pairwise nonadjacent vertices of maximum total weight. The complexity of the MWIS problem for $P_6$-free graphs is unknown. In this note, we…

Discrete Mathematics · Computer Science 2015-04-27 T. Karthick

In this paper, we study how to determine concurrent transmissions and the transmission power level of each link to maximize spectrum efficiency and minimize energy consumption in a wireless ad hoc network. The optimal joint transmission…

Networking and Internet Architecture · Computer Science 2017-06-20 Kamal Rahimi Malekshan , Weihua Zhuang

Information theoretic Broadcast Channels (BC) and Multiple Access Channels (MAC) enable a single node to transmit data simultaneously to multiple nodes, and multiple nodes to transmit data simultaneously to a single node respectively. In…

Networking and Internet Architecture · Computer Science 2015-03-13 Arun Sridharan , C. Emre Koksal , Elif Uysal-Biyikoglu

In this paper a greedy algorithm to detect conflict cliques in interval graphs and circular-arc graphs is analyzed. In a graph, a stable set requires that at most one vertex is chosen for each edge. It is equivalent to requiring that at…

Discrete Mathematics · Computer Science 2008-12-12 Gabrio Caimi , Holger Flier , Martin Fuchsberger , Marc Nunkesser

In this paper, we consider the problem of link scheduling in multi-hop wireless networks under general interference constraints. Our goal is to design scheduling schemes that do not use per-flow or per-destination information, maintain a…

Networking and Internet Architecture · Computer Science 2012-06-14 Bo Ji , Changhee Joo , Ness B. Shroff

Distributed scheduling algorithms for throughput or utility maximization in dense wireless multi-hop networks can have overwhelmingly high overhead, causing increased congestion, energy consumption, radio footprint, and security…

Signal Processing · Electrical Eng. & Systems 2022-03-29 Zhongyuan Zhao , Ananthram Swami , Santiago Segarra

Consider a wireless network where each communication link has a minimum bandwidth quality-of-service requirement. Certain pairs of wireless links interfere with each other due to being in the same vicinity, and this interference is modeled…

Information Theory · Computer Science 2020-02-19 Ashwin Ganesan

Inductive $k$-independent graphs generalize chordal graphs and have recently been advocated in the context of interference-avoiding wireless communication scheduling. The NP-hard problem of finding maximum-weight induced $c$-colorable…

Discrete Mathematics · Computer Science 2019-02-26 Matthias Bentert , René van Bevern , Rolf Niedermeier

We address the joint problem of learning and scheduling in multi-hop wireless network without a prior knowledge on link rates. Previous scheduling algorithms need the link rate information, and learning algorithms often require a…

Networking and Internet Architecture · Computer Science 2023-12-11 Daehyun Park , Sunjung Kang , Changhee Joo

This thesis focuses on link scheduling in wireless mesh networks by taking into account physical layer characteristics. The assumption made throughout is that a packet is received successfully only if the Signal to Interference and Noise…

Networking and Internet Architecture · Computer Science 2008-12-31 Ashutosh Deepak Gore

We consider a general class of low complexity distributed scheduling algorithms in wireless networks, maximal scheduling with priorities, where a maximal set of transmitting links in each time slot are selected according to certain…

Information Theory · Computer Science 2011-12-05 Qiao Li , Rohit Negi

In this paper we consider greedy scheduling algorithms in wireless networks, i.e., the schedules are computed by adding links greedily based on some priority vector. Two special cases are considered: 1) Longest Queue First (LQF) scheduling,…

Information Theory · Computer Science 2016-11-17 Qiao Li , Rohit Negi

We consider multiuser scheduling in wireless networks with channel variations and flow-level dynamics. Recently, it has been shown that the MaxWeight algorithm, which is throughput-optimal in networks with a fixed number users, fails to…

Networking and Internet Architecture · Computer Science 2010-08-17 Shihuan Liu , Lei Ying , R. Srikant

Wireless sensor networks are normally characterized by resource challenged nodes. Since communication costs the most in terms of energy in these networks, minimizing this overhead is important. We consider minimum length node scheduling in…

Networking and Internet Architecture · Computer Science 2013-01-24 K. Shashi Prabh

We study a fundamental problem called Minimum Length Link Scheduling (MLLS) which is crucial to the efficient operations of wireless networks. Given a set of communication links of arbitrary length spread and assume each link has one unit…

Networking and Internet Architecture · Computer Science 2012-08-06 Xiaohua Xu , Jiannong Cao , Xiang-Yang Li

We develop a general approach for designing scheduling policies for real-time traffic over wireless channels. We extend prior work, which characterizes a real-time flow by its traffic pattern, delay bound, timely-throughput requirement, and…

Networking and Internet Architecture · Computer Science 2009-08-06 I-Hong Hou , P. R. Kumar

In the classic Maximum Weight Independent Set problem we are given a graph $G$ with a nonnegative weight function on vertices, and the goal is to find an independent set in $G$ of maximum possible weight. While the problem is NP-hard in…

Data Structures and Algorithms · Computer Science 2020-03-24 Andrzej Grzesik , Tereza Klimošová , Marcin Pilipczuk , Michał Pilipczuk

Given a wireless network where some pairs of communication links interfere with each other, we study sufficient conditions for determining whether a given set of minimum bandwidth quality-of-service (QoS) requirements can be satisfied. We…

Information Theory · Computer Science 2015-12-11 Ashwin Ganesan