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Article
Even More Effort Towards Improved Bounds and Fixed-Parameter Tractability for Multiwinner Rules
Multiwinner elections have proven to be a fruitful research topic with many real-world applications. We contribute to this line of research by improving the state of the art regarding the computational complex...
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Chapter and Conference Paper
Gehrlein Stable Committee with Multi-modal Preferences
Inspired by Gehrlein stability in multiwinner election, in this paper, we define several notions of stability that are applicable in multiwinner elections with multimodal preferences, a model recently proposed...
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Chapter and Conference Paper
Circumventing Connectivity for Kernelization
Classical vertex subset problems demanding connectivity are of the following form: given an input graph G on n vertices and an integer k, find a set S of at most k vertices that satisfies a property and G[S] is c...
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Article
Parameterized Complexity of Conflict-Free Matchings and Paths
An input to a conflict-free variant of a classical problem \(\Gamma \)Γ, called Conflict-Free\(\Gamma \)Γ, consists of an instance I of \(\Gamma \)Γ coupled with a graph H, called the conflict graph. A solution t...
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Chapter and Conference Paper
Vertex Deletion on Split Graphs: Beyond 4-Hitting Set
In vertex deletion problems on graphs, the task is to find a set of minimum number of vertices whose deletion results in a graph with some specific property. The class of vertex deletion problems contains seve...
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Chapter and Conference Paper
Quadratic Vertex Kernel for Split Vertex Deletion
A graph is called a split graph if its vertex set can be partitioned into a clique and an independent set. Split graphs have rich mathematical structure and interesting algorithmic properties making it one of ...
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Chapter and Conference Paper
Hitting and Covering Partially
d-Hitting Set and d-Set Cover are among the classical NP-hard problems. In this paper, we study variants of d-Hitting Set and d-Set Cover, which are called Partial d -Hitting Set (Partial
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Chapter and Conference Paper
Mixed Dominating Set: A Parameterized Perspective
In the mixed dominating set (mds) problem, we are given an n-vertex graph G and a positive integer k, and the objective is to decide whether there exists a set