Titlebook: WALCOM: Algorithms and Computation; 13th International C Gautam K. Das,Partha S. Mandal,Shin-ichi Nakano Conference proceedings 2019 Spring

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Hard and Easy Instances of L-Tromino Tilingsegions where only . rotations of L-trominoes are available. For this particular case we show that deciding the existence of a tiling remains NP-complete; yet, if a region does not contain so-called “forbidden polyominoes” as subregions, then there exists a polynomial time algorithm for deciding a tiling.

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Computing the Metric Dimension by Decomposing Graphs into Extended Biconnected Componentssion for a class of graphs having a minimum resolving set with a bounded number of vertices in every extended biconnected component. Furthermore, we show that the decision problem . remains NP-complete when the above limitation is extended to usual biconnected components.