@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} }
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The Local Queue Number of Graphs with Bounded Treewidth
Autor(en): | Laura Merker und Torsten Ueckerdt |
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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.