Blar i Bergen Open Research Archive på forfatter "Lokshtanov, Daniel"
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Path Contraction Faster Than 2n
Agrawal, Akanksha; Fomin, Fedor; Lokshtanov, Daniel; Saurabh, Saket; Tale, Prafullkumar (Peer reviewed; Journal article, 2019)A graph G is contractible to a graph H if there is a set X subseteq E(G), such that G/X is isomorphic to H. Here, G/X is the graph obtained from G by contracting all the edges in X. For a family of graphs F, the F-Contraction ... -
Quick but odd growth of cacti
Kolay, Sudeshna; Lokshtanov, Daniel; Panolan, Fahad; Saurabh, Saket (Peer reviewed; Journal article, 2015)Let F be a family of graphs. Given an input graph G and a positive integer k, testing whether G has a k-sized subset of vertices S, such that G\S belongs to F, is a prototype vertex deletion problem. These type of problems ... -
Subexponential Algorithms for Partial Cover Problems
Fomin, Fedor; Lokshtanov, Daniel; Raman, Venkatesh; Saurabh, Saket (Peer reviewed; Journal article, 2009)Partial Cover problems are optimization versions of fundamental and well studied problems like {\sc Vertex Cover} and {\sc Dominating Set}. Here one is interested in covering (or dominating) the maximum number of edges (or ... -
Subquadratic Kernels for Implicit 3-Hitting Set and 3-Set Packing Problems
Fomin, Fedor; Le, Tien-Nam; Lokshtanov, Daniel; Saurabh, Saket; Thomasse, Stephan; Zehavi, Meirav (Peer reviewed; Journal article, 2019)We consider four well-studied NP-complete packing/covering problems on graphs: Feedback Vertex Set in Tournaments (FVST), Cluster Vertex Deletion (CVD), Triangle Packing in Tournaments (TPT) and Induced P3-Packing. For ...