activity
20062017
most citedThe Cops and Robber game on graphs with forbidden (induced) subgraphs

33 citations · 101 across the 16 of their papers we have counts for

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Showing cs.DMShow all

6 papers · 1 filter

cs.DM2014

Scattered packings of cycles

Aistis Atminas, Marcin Kamiński, Jean-Florent Raymond

We consider the problem Scattered Cycles which, given a graph and two positive integers and , asks whether contains a collection of cycles that are pairwise a…

cs.DM2014★ 4 cited

Fixed-Parameter Tractability of Token Jumping on Planar Graphs

Takehiro Ito, Marcin Kamiński, Hirotaka Ono

Suppose that we are given two independent sets and of a graph such that , and imagine that a token is placed on each vertex in . The token jumping p…

cs.DM2014★ 10 cited

Reconfiguring Independent Sets in Claw-Free Graphs

Paul Bonsma, Marcin Kamiński, Marcin Wrochna

We present a polynomial-time algorithm that, given two independent sets in a claw-free graph , decides whether one can be transformed into the other by a sequence of elementary…

cs.DM2009★ 31 cited

The k-in-a-path problem for claw-free graphs

Jiri Fiala, Marcin Kaminski, Bernard Lidicky +1

Testing whether there is an induced path in a graph spanning k given vertices is already NP-complete in general graphs when k=3. We show how to solve this problem in polynomial tim…

cs.DM2008★ 2 cited

The Plane-Width of Graphs

Marcin Kaminski, Paul Medvedev, Martin Milanic

Map vertices of a graph to (not necessarily distinct) points of the plane so that two adjacent vertices are mapped at least a unit distance apart. The plane-width of a graph is the…

cs.DM2006

Polynomial-time algorithm for vertex k-colorability of P_5-free graphs

Marcin Kaminski, Vadim Lozin

We give the first polynomial-time algorithm for coloring vertices of P_5-free graphs with k colors. This settles an open problem and generalizes several previously known results.