TY - GEN ID - gdea_3787 UR - http://gdea.informatik.uni-koeln.de/787/ A1 - Massow, Mareike A1 - Felsner, Stefan Y1 - 2007/// N2 - Bar k-visibility graphs are graphs admitting a representation in which the vertices correspond to horizontal line segments, called bars, and the edges correspond to vertical lines of sight which can traverse up to k bars. These graphs were introduced by Dean et al. [3] who conjectured that bar 1-visibility graphs have thickness at most 2. We construct a bar 1-visibility graph having thickness 3, disproving their conjecture. For a special case of bar 1-visibility graphs we present an algorithm partitioning the edges into two plane graphs, showing that for this class the thickness is indeed bounded by 2. PB - Springer T3 - Lecture notes in Computer Science TI - Thickness of Bar 1-Visibility Graphs SP - 330 AV - none EP - 342 ER -