Solving optimization problems with Rydberg analog quantum computers: Realistic requirements for quantum advantage using noisy simulation and classical …

MF Serret, B Marchand, T Ayral - Physical Review A, 2020 - APS
Platforms of Rydberg atoms have been proposed as promising candidates to solve some
combinatorial optimization problems. Here we compute quantitative requirements on the …

Approximating maximum independent set on Rydberg atom arrays using local detunings

H Yeo, HE Kim, K Jeong - Advanced Quantum Technologies, 2024 - Wiley Online Library
Rydberg atom arrays operated by a quantum adiabatic principle are among the most
promising quantum simulating platforms due to their scalability and long coherence time …

Throughput-optimal broadcast in wireless networks with point-to-multipoint transmissions

A Sinha, E Modiano - Proceedings of the 18th ACM International …, 2017 - dl.acm.org
We consider the problem of efficient packet dissemination in wireless networks with point-to-
multi-point wireless broadcast channels. We propose a dynamic policy, which achieves the …

Covering, hitting, piercing and packing rectangles intersecting an inclined line

A Mudgal, S Pandit - … 9th International Conference, COCOA 2015, Houston …, 2015 - Springer
We consider special cases of,,, and problems for axis-parallel squares and axis-parallel
rectangles in the plane, where the objects are intersecting an, or equivalently a. We prove …

Faster approximation for maximum independent set on unit disk graph

SC Nandy, S Pandit, S Roy - Information Processing Letters, 2017 - Elsevier
Maximum independent set from a given set D of unit disks intersecting a horizontal line can
be solved in O (n 2) time and O (n 2) space. As a corollary, we design a factor 2 …

A New Approach Based on Centrality Value in Solving the Maximum Independent Set Problem: Malatya Centrality Algorithm

S Yakut, F Öztemiz, A Karci - Computer Science, 2023 - dergipark.org.tr
Graph structure is widely used to describe problems in different fields. Problems in many
areas, such as security and transportation, are among them. The problems can be solved …

[HTML][HTML] On the approximability and hardness of the minimum connected dominating set with routing cost constraint

TW Kuo - Theoretical Computer Science, 2019 - Elsevier
In the problem of minimum connected dominating set with routing cost constraint, we are
given a graph G=(V, E) and a positive integer α, and the goal is to find the smallest …

Approximation Algorithms for Charging Station Placement for Mobile Robots

T Kundu, I Saha - 2023 IEEE/RSJ International Conference on …, 2023 - ieeexplore.ieee.org
Optimal placement of charging stations in a workspace is a crucial problem to address, for
efficient operation of battery-driven mobile robots. When the battery charge of a robot …

[HTML][HTML] Efficient independent set approximation in unit disk graphs

GK Das, GD da Fonseca, RK Jallu - Discrete Applied Mathematics, 2020 - Elsevier
We consider the maximum (weight) independent set problem in unit disk graphs. The high
complexity of the existing polynomial-time approximation schemes motivated the …

[PDF][PDF] The Effect of Graph Layout on the Perception of Graph Properties.

E Kypridemou, M Zito, M Bertamini - EuroVis (Short Papers), 2020 - diglib.eg.org
The way in which a graph is described visually is crucial for the understanding and analysis
of its structure. In this study we explore how different drawing layouts affect our perception of …