Wireless connectivity and capacity
MM Halldórsson, P Mitra - Proceedings of the Twenty-Third Annual ACM …, 2012 - SIAM
Given n wireless transceivers located in a plane, a fundamental problem in wireless
communications is to construct a strongly connected digraph on them such that the …
communications is to construct a strongly connected digraph on them such that the …
The power of non-uniform wireless power
We study a fundamental measure for wireless interference in the SINR model known as
(weighted) inductive independence. This measure characterizes the effectiveness of using …
(weighted) inductive independence. This measure characterizes the effectiveness of using …
Wireless network algorithmics
MM Halldórsson, R Wattenhofer - … and Software Science: State of the Art …, 2019 - Springer
The last decade has seen a large amount of algorithmic work analyzing wireless networks.
In this paper we focus on some of the main lessons learned when studying the physical …
In this paper we focus on some of the main lessons learned when studying the physical …
Upper bounds for the number of isolated critical points via the Thom–Milnor theorem
V Zolotov - Analysis and Mathematical Physics, 2023 - Springer
Abstract We apply the Thom–Milnor theorem to obtain the upper bounds on the amount of
isolated (1) critical points of a potential generated by several fixed point charges (Maxwell's …
isolated (1) critical points of a potential generated by several fixed point charges (Maxwell's …
Distributed algorithms for sensor networks
C Lenzen, R Wattenhofer - Philosophical Transactions of …, 2012 - royalsocietypublishing.org
Distributed algorithms for sensor networks | Philosophical Transactions of the Royal Society A:
Mathematical, Physical and Engineering Sciences logo logo Skip main navigationJournal …
Mathematical, Physical and Engineering Sciences logo logo Skip main navigationJournal …
Batched point location in SINR diagrams via algebraic tools
The SINR (Signal to Interference plus Noise Ratio) model for the quality of wireless
connections has been the subject of extensive recent study. It attempts to predict whether a …
connections has been the subject of extensive recent study. It attempts to predict whether a …
The minimum principle of SINR: a useful discretization tool for wireless communication
Theoretical study of optimization problems in wireless communication often deals with zero-
dimensional tasks. For example, the power control problem requires computing a power …
dimensional tasks. For example, the power control problem requires computing a power …
The topology of wireless communication
This article studies the topological properties of wireless communication maps and their
usability in algorithmic design. We consider the SINR model, which compares the received …
usability in algorithmic design. We consider the SINR model, which compares the received …
SINR diagram with interference cancellation
This paper studies the reception zones of a wireless network in the SINR model with
receivers that employ interference cancellation (IC). IC is a recently developed technique …
receivers that employ interference cancellation (IC). IC is a recently developed technique …
[HTML][HTML] Wireless capacity with arbitrary gain matrix
MM Halldórsson, P Mitra - Theoretical Computer Science, 2014 - Elsevier
Given a set of wireless links, a fundamental problem is to find the largest subset that can
transmit simultaneously, within the SINR model of interference. Significant progress on this …
transmit simultaneously, within the SINR model of interference. Significant progress on this …