# Discrete Mathematics & Theoretical Computer Science

## Volume 7 n° 1 (2005), pp. 155-202

author: | Vida Dujmović and David R. Wood |
---|---|

title: | Stacks, Queues and Tracks: Layouts of Graph Subdivisions |

keywords: | graph layout, graph drawing, track layout, stack layout, queue layout, book embedding, track-number, queue-number, stack-number, page-number, book-thickness, 2-track thickness, geometric thickness, subdivision, three-dimensional graph drawing |

abstract: | A ) of a graph consists of a total order of the vertices, and a partition of the edges into k-queuelayoutk sets of non-crossing (non-nested) edges with respect to
the vertex ordering. A of a graph consists of a vertex
k-track layoutk-colouring, and a total order of each vertex colour class, such that between
each pair of colour classes no two edges cross. The stack-number
(respectively, queue-number, track-number) of a graph G,
denoted by sn(G) (qn(G), tn(G)), is the minimum k such that G has a
k-stack (k-queue, k-track) layout.This paper studies stack, queue, and track layouts of graph subdivisions. It
is known that every graph has a
It is proved that every graph has a
Applications to 3D polyline grid drawings are presented. For example, it is
proved that every graph If your browser does not display the abstract correctly (because of the different mathematical symbols) you can look it up in the PostScript or PDF files. |

reference: | Vida Dujmović and David R. Wood (2005),
Stacks, Queues and Tracks: Layouts of Graph Subdivisions,
Discrete Mathematics and Theoretical Computer Science 7, pp. 155-202 |

bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |

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Automatically produced on Sat Sep 3 08:23:07 CEST 2005 by gustedt