National Repository of Grey Literature 2 records found  Search took 0.00 seconds. 
Algoritmické problémy související s průnikovými grafy
Ivánek, Jindřich ; Pergel, Martin (advisor) ; Rytíř, Pavel (referee)
In this thesis we study two clique-cover problems which have interesting applications regarding the k -bend intersection graph representation: the edge-clique-cover-degree problem and the edge-clique-layered-cover problem. We focus on the complexity of these problems and polynomial time algorithms on restricted classes of graphs. The main results of the thesis are NP-completness of the edge-clique-layered-cover problem and a polynomial-time 2-approximation algorithm on the subclass of diamond-free graphs for the same problem as well as some upper bounds on particular graph classes.

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