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P3 problem and Magnolia language: Specializing array computations for emerging architectures
(Journal article; Peer reviewed, 2022)The problem of producing portable highperformance computing (HPC) software that is cheap to develop and maintain is called the P3 (performance, portability, productivity) problem. Good solutions to the P3 problem have ... 
Packing arcdisjoint cycles in tournaments
(Journal article; Peer reviewed, 2019)A tournament is a directed graph in which there is a single arc between every pair of distinct vertices. Given a tournament T on n vertices, we explore the classical and parameterized complexity of the problems of determining ... 
Packing cycles faster than ErdosPosa
(Journal article; Peer reviewed, 2019)The Cycle Packing problem asks whether a given undirected graph $G=(V,E)$ contains $k$ vertexdisjoint cycles. Since the publication of the classic ErdösPósa theorem in 1965, this problem received significant attention ... 
Parallel algorithms for computing kconnectivity
(Master thesis, 20170505) 
Parallel algorithms for matching under preference
(Master thesis, 20170620) 
Parallel Graph Algorithms for Combinatorial Scientific Computing
(Doctoral thesis, 20110826) 
Parallel Matching and Clustering Algorithms on GPUs
(Doctoral thesis, 20170617) 
Parameter optimisation for the improved modelling of industrialscale gas explosions
(Doctoral thesis, 20190617)This thesis presents work on improving the predictive capabilities of a numerical model by parameter optimisation. The numerical model is based on computational fluid dynamics (CFD) and predicts the consequences of ... 
Parameterization Above a Multiplicative Guarantee
(Journal article; Peer reviewed, 2020)Parameterization above a guarantee is a successful paradigm in Parameterized Complexity. To the best of our knowledge, all fixedparameter tractable problems in this paradigm share an additive form defined as follows. Given ... 
Parameterized complexity classification of deletion to list matrixpartition for loworder matrices
(Journal article; Peer reviewed, 2019)Given a symmetric l x l matrix M=(m_{i,j}) with entries in {0,1,*}, a graph G and a function L : V(G)  > 2^{[l]} (where [l] = {1,2,...,l}), a list Mpartition of G with respect to L is a partition of V(G) into l parts, ... 
Parameterized Complexity of Broadcasting in Graphs
(Journal article; Peer reviewed, 2023)The task of the broadcast problem is, given a graph G and a source vertex s, to compute the minimum number of rounds required to disseminate a piece of information from s to all vertices in the graph. It is assumed that, ... 
Parameterized complexity of categorical clustering with size constraints
(Journal article; Peer reviewed, 2023) 
Parameterized complexity of conflictfree matchings and paths
(Journal article; Peer reviewed, 2019)An input to a conflictfree variant of a classical problem Gamma, called ConflictFree Gamma, consists of an instance I of Gamma coupled with a graph H, called the conflict graph. A solution to ConflictFree Gamma in (I,H) ... 
Parameterized Complexity of Directed Spanner Problems
(Journal article; Peer reviewed, 2020)We initiate the parameterized complexity study of minimum tspanner problems on directed graphs. For a positive integer t, a multiplicative tspanner of a (directed) graph G is a spanning subgraph H such that the distance ... 
Parameterized Complexity of Directed Spanner Problems
(Journal article; Peer reviewed, 2021)We initiate the parameterized complexity study of minimum tspanner problems on directed graphs. For a positive integer t, a multiplicative tspanner of a (directed) graph G is a spanning subgraph H such that the distance ... 
Parameterized complexity of Eulerian deletion problems
(Peer reviewed; Journal article, 201401)We study a family of problems where the goal is to make a graph Eulerian, i.e., connected and with all the vertices having even degrees, by a minimum number of deletions. We completely classify the parameterized complexity ... 
Parameterized Complexity of Feature Selection for Categorical Data Clustering
(Journal article; Peer reviewed, 2021)We develop new algorithmic methods with provable guarantees for feature selection in regard to categorical data clustering. While feature selection is one of the most common approaches to reduce dimensionality in practice, ... 
The parameterized complexity of finding minimum bounded chains
(Journal article; Peer reviewed, 2024)Finding the smallest dchain with a specific (d − 1)boundary in a simplicial complex is known as the Minimum Bounded Chain problem (MBCd). MBCd is NPhard for all d ≥2. In this paper, we prove that it is also W[1]hard ... 
The Parameterized Complexity of Guarding Almost Convex Polygons
(Journal article; Peer reviewed, 2020)The Art Gallery problem is a fundamental visibility problem in Computational Geometry. The input consists of a simple polygon P, (possibly infinite) sets G and C of points within P, and an integer k; the task is to decide ... 
Parameterized complexity of PCA
(Journal article; Peer reviewed, 2020)We discuss some recent progress in the study of Principal Component Analysis (PCA) from the perspective of Parameterized Complexity.