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The Local Queue Number of Graphs with Bounded Treewidth

Begutachtete Veröffentlichung in Tagungsband

Autor(en):Laura Merker und Torsten Ueckerdt
In:28th International Symposium on Graph Drawing and Network Visualization (GD 2020), Revised Selected Papers
Verleger:Springer
Reihe:Lecture Notes in Computer Science
Band:12590
Jahr:2020
Seiten:26-39
URL:https://arxiv.org/abs/2008.05392
DOI:10.1007/978-3-030-68766-3_3

Abstract

A queue layout of a graph G consists of a vertex ordering of G and a partition of the edges into so-called queues such that no two edges in the same queue nest, i.e., have their endpoints ordered in an ABBA-pattern. Continuing the research on local ordered covering numbers, we introduce the local queue number of a graph G as the minimum ℓ such that G admits a queue layout with each vertex having incident edges in no more than ℓ queues. Similarly to the local page number [Merker and Ueckerdt, GD'19], the local queue number is closely related to the graph's density and can be arbitrarily far from the classical queue number.

BibTeX

@InProceedings{MU20,
  author    = {Laura Merker and
               Torsten Ueckerdt},
  editor    = {David Auber and
               Pavel Valtr},
  title     = {The Local Queue Number of Graphs with
               Bounded Treewidth},
  booktitle = {28th International Symposium on Graph Drawing and
               Network Visualization ({GD} 2020), Revised
               Selected Papers},
  venue     = {Vancouver, {BC}, Canada},
  eventdate = {2020-09-16/2020-09-18},
  series    = {Lecture Notes in Computer Science},
  volume    = {12590},
  pages     = {26--39},
  publisher = {Springer},
  year      = {2020},
  abstract  = {A queue layout of a graph G consists of a vertex ordering
               of G and a partition of the edges into so-called queues
               such that no two edges in the same queue nest, i.e., have
               their endpoints ordered in an ABBA-pattern. Continuing
               the research on local ordered covering numbers, we
               introduce the local queue number of a graph G as the
               minimum ℓ such that G admits a queue layout with each
               vertex having incident edges in no more than ℓ queues.
               Similarly to the local page number [Merker and Ueckerdt,
               GD'19], the local queue number is closely related to the
               graph's density and can be arbitrarily far from the
               classical queue number.},
  doi       = {10.1007/978-3-030-68766-3_3},
  url       = {https://arxiv.org/abs/2008.05392}
}