Titlebook: ;

FICE

Touching Triangle Representations for 3-Connected Planar Graphs by rectangular grid drawings (e.g., square grid graphs). Finally, we describe a fixed-parameter tractable decision algorithm for testing whether a 3-connected planar graph admits a proper TTG representation.

骑师

Calibrate

油膏

法官

Open Rectangle-of-Influence Drawings of Non-triangulated Planar Graphsther hand, we show that if the planar embedding is not fixed, then deciding if a given planar graph has an open weak RI-drawing is NP-complete. NP-completeness holds even for open weak RI-drawings with non-aligned frames.

Odyssey

Bioactive Compounds from Extremophilesatorial search space, which is of benefit for all enumeration-type algorithms. Based thereon, we give new classes of polynomially testable graphs and a practically efficient exact planarity test for general clustered graphs based on an integer linear program.

Defense

ANTE

内行

Microbiological Hazards of Infusion Therapya ..-VPG representation of a planar graph can be constructed in .(..) time. We further show that the triangle-free planar graphs are contact graphs of: L-shapes, Γ-shapes, vertical segments, and horizontal segments (i.e., a special case of contact ..-VPG). From this proof we gain a new proof that bipartite planar graphs are a subclass of 2-DIR.