[PDF][PDF] Conflict-free Covering.

EM Arkin, A Banik, P Carmi, G Citovsky, MJ Katz… - CCCG, 2015 - Citeseer
Abstract Let P={C1, C2,..., Cn} be a set of color classes, where each color class Ci consists
of a set of points. In this paper, we address a family of covering problems, in which one is …

Conflict free version of covering problems on graphs: Classical and parameterized

P Jain, L Kanesh, P Misra - Theory of Computing Systems, 2020 - Springer
Let π be a family of graphs. In the classical π-Vertex Deletion problem, given a graph G and
a positive integer k, the objective is to check whether there exists a subset S of at most k …

On the complexity of Chamberlin-Courant on almost structured profiles

N Misra, C Sonar, PR Vaidyanathan - International Conference on …, 2017 - Springer
Abstract The Chamberlin-Courant voting rule is an important multiwinner voting rule.
Although NP-hard to compute on general profiles, it is known to be polynomially solvable on …

Selecting and covering colored points

EM Arkin, A Banik, P Carmi, G Citovsky, MJ Katz… - Discrete Applied …, 2018 - Elsevier
Let U be a set of colored objects, where the color of an object is an integer between 1 and n.
Let P={C 1,…, C n} be the partition of U into color classes, ie, the set C i consists of all …

Parameterized complexity of conflict-free set cover

A Jacob, D Majumdar, V Raman - Theory of Computing Systems, 2021 - Springer
Set Cover is one of the well-known classical NP-hard problems. We study the conflict-free
version of the Set Cover problem. Here we have a universe UU, a family FF of subsets of UU …

Parameterized complexity of geometric covering problems having conflicts

A Banik, F Panolan, V Raman, V Sahlot, S Saurabh - Algorithmica, 2020 - Springer
The input for the Geometric Coverage problem consists of a pair\varSigma=(P, R) Σ=(P, R),
where P is a set of points in R^ d R d and RR is a set of subsets of P defined by the …

On fair division with binary valuations respecting social networks

N Misra, D Nayak - Conference on Algorithms and Discrete Applied …, 2022 - Springer
We study the computational complexity of finding fair allocations of indivisible goods in the
setting where a social network on the agents is given. Notions of fairness in this context are …

Fréchet distance between a line and avatar point set

A Banik, F Panolan, V Raman, V Sahlot - Algorithmica, 2018 - Springer
Frèchet distance is an important geometric measure that captures the distance between two
curves or more generally point sets. In this paper, we consider a natural variant of Fréchet …

[HTML][HTML] Covering segments with unit squares

A Acharyya, SC Nandy, S Pandit, S Roy - Computational Geometry, 2019 - Elsevier
We study several variations of line segment covering problem with axis-parallel unit squares
in the plane. Given a set S of n line segments, the objective is to find the minimum number of …

Covering segments with unit squares

A Acharyya, SC Nandy, S Pandit, S Roy - … , St. John's, NL, Canada, July 31 …, 2017 - Springer
We study several variations of line segment covering problem with axis-parallel unit squares
in the plane. Given a set S of n line segments, the objective is to find the minimum number of …