Online geometric covering and piercing

M De, S Jain, SV Kallepalli, S Singh - Algorithmica, 2024 - Springer
We consider the online version of the piercing set problem, where geometric objects arrive
one by one, and the online algorithm must maintain a valid piercing set for the already …

Online hitting of unit balls and hypercubes in Rd using points from Zd

M De, S Singh - Theoretical Computer Science, 2024 - Elsevier
We consider the online hitting set problem for the range space Σ=(X, R), where the point set
X is known beforehand, but the set R of geometric objects is not known in advance. Here …

Online class cover problem

M De, A Maheshwari, R Mandal - Computational Geometry, 2024 - Elsevier
In this paper, we study the online class cover problem where a (finite or infinite) family F of
geometric objects and a set P r of red points in R d are given a prior, and blue points from R …

Online Hitting Set of d-Dimensional Fat Objects

S Alefkhani, N Khodaveisi, M Mari - International Workshop on …, 2023 - Springer
We consider an online version of the geometric minimum hitting set problem that can be
described as a game between an adversary and an algorithm. For some integers d and N …