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Chapter and Conference Paper
Max-SAT with Cardinality Constraint Parameterized by the Number of Clauses
Max-SAT with cardinality constraint (CC-Max-SAT) is one of the classical NP-complete problems. In this problem, given a CNF-formula $$\varPhi ...
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Chapter and Conference Paper
On the Parameterized Complexity of Minus Domination
Dominating Set is a well-studied combinatorial problem. Given a graph \(G=(V,E)\) G ...
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Chapter and Conference Paper
Parameterized Algorithms for Eccentricity Shortest Path Problem
Given an undirected graph \( G=(V,E) \) G = (
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Chapter and Conference Paper
Burn and Win
Given a graph G and an integer k, the Graph Burning problem asks whether the graph G can be burned in at most k rounds. Graph burning is a model for information spreading in a network, where we study how fast the...
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Article
A Polynomial Kernel for Bipartite Permutation Vertex Deletion
In a permutation graph, vertices represent the elements of a permutation, and edges represent pairs of elements that are reversed by the permutation. In the Permutation Vertex Deletion problem, given an undirecte...
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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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Chapter and Conference Paper
Odd Cycle Transversal in Mixed Graphs
An odd cycle transversal (oct, for short) in a graph is a set of vertices whose deletion will leave a graph without any odd cycles. The Odd Cycle Transversal (OCT) problem takes an undirected graph G and a non-ne...
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Article
Conflict Free Version of Covering Problems on Graphs: Classical and Parameterized
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 vertices such that G − S i...
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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
On the Complexity of Singly Connected Vertex Deletion
A digraph D is singly connected if for all ordered pairs of vertices \(u,v\in V(D)\) , there is at most one path in D
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Chapter and Conference Paper
Parameterized Complexity of Fair Feedback Vertex Set Problem
Given a graph \(G=(V,E)\), a subset \(S\subseteq V(G)\) is said to be a feedback vertex set of G if \(G-S\) is a forest. In the Feedback Vertex Set (FVS) problem, we are given an undirected graph G, and a positiv...
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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
Conflict Free Version of Covering Problems on Graphs: Classical and Parameterized
Let \(\mathrm{\Pi }\) be a family of graphs. In the classical
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Chapter and Conference Paper
Paths to Trees and Cacti
For a family of graphs \(\mathcal F\) , the
