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20082026
most citedPlanar graphs have bounded queue-number

73 citations · 178 across the 49 of their papers we have counts for

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Showing 2020Show all

6 papers · 1 filter

cs.CG2020

Edge-Minimum Saturated k-Planar Drawings

Steven Chaplick, Fabian Klute, Irene Parada +2

For a class of drawings of loopless (multi-)graphs in the plane, a drawing is \emph{saturated} when the addition of any edge to results in $D'…

math.CO2020

The Local Queue Number of Graphs with Bounded Treewidth

Laura Merker, Torsten Ueckerdt

A queue layout of a graph consists of a vertex ordering of and a partition of the edges into so-called queues such that no two edges in the same queue nest, i.e., have thei…

math.CO2020

Plattenbauten: Touching Rectangles in Space

Stefan Felsner, Kolja Knauer, Torsten Ueckerdt

Planar bipartite graphs can be represented as touching graphs of horizontal and vertical segments in . We study a generalization in space: touching graphs of axis-ali…

cs.DM2020

Guarding Quadrangulations and Stacked Triangulations with Edges

Paul Jungeblut, Torsten Ueckerdt

Let be a plane graph. A face of is guarded by an edge if at least one vertex from is on the boundary of . For a planar graph class $\mat…

cs.DS2020★ 1 cited

Four Pages Are Indeed Necessary for Planar Graphs

Michael A. Bekos, Michael Kaufmann, Fabian Klute +3

An embedding of a graph in a book consists of a linear order of its vertices along the spine of the book and of an assignment of its edges to the pages of the book, so that no two…

math.CO2020

On Covering Numbers, Young Diagrams, and the Local Dimension of Posets

Gábor Damásdi, Stefan Felsner, António Girão +4

We study covering numbers and local covering numbers with respect to difference graphs and complete bipartite graphs. In particular we show that in every cover of a Young diagram w…