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Article
Open AccessSub-exponential Time Parameterized Algorithms for Graph Layout Problems on Digraphs with Bounded Independence Number
Fradkin and Seymour (J Comb Theory Ser B 110:19–46, 2015) defined the class of digraphs of bounded independence number as a generalization of the class of tournaments. They argued that the class of digraphs of...
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Article
Fast Exact Algorithms for Survivable Network Design with Uniform Requirements
We design exact algorithms for the following two problems in survivable network design: (i) designing a minimum cost network with a desired value of edge connectivity, which is called Minimum Weight ...
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Article
Open AccessParameterized Complexity of Directed Spanner Problems
We initiate the parameterized complexity study of minimum t-spanner problems on directed graphs. For a positive integer t, a multiplicative t-spanner of a (directed) graph G is a spanning subgraph H such that the...
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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
Faster Parameterized Algorithms for Deletion to Split Graphs
An undirected graph is said to be split if its vertex set can be partitioned into two sets such that the subgraph induced on one of them is a complete graph and the subgraph induced on the other is an independent...
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Article
A Polynomial Kernel for Feedback Arc Set on Bipartite Tournaments
In the k-Feedback Arc/Vertex Set problem we are given a directed graph D and a positive integer k and the objective is to check whether it is possible to delete at most k arcs/vertices from D to make it acyclic. ...