TY - GEN
T1 - Parameterized Algorithms for Book Embedding Problems
AU - Bhore, Sujoy
AU - Ganian, Robert
AU - Montecchiani, Fabrizio
AU - Nöllenburg, Martin
N1 - Publisher Copyright:
© Springer Nature Switzerland AG 2019.
PY - 2019/1/1
Y1 - 2019/1/1
N2 - A k-page book embedding of a graph G draws the vertices of G on a line and the edges on k half-planes (called pages) bounded by this line, such that no two edges on the same page cross. We study the problem of determining whether G admits a k-page book embedding both when the linear order of the vertices is fixed, called Fixed-Order Book Thickness, or not fixed, called Book Thickness. Both problems are known to be NP-complete in general. We show that Fixed-Order Book Thickness and Book Thickness are fixed-parameter tractable parameterized by the vertex cover number of the graph and that Fixed-Order Book Thickness is fixed-parameter tractable parameterized by the pathwidth of the vertex order.
AB - A k-page book embedding of a graph G draws the vertices of G on a line and the edges on k half-planes (called pages) bounded by this line, such that no two edges on the same page cross. We study the problem of determining whether G admits a k-page book embedding both when the linear order of the vertices is fixed, called Fixed-Order Book Thickness, or not fixed, called Book Thickness. Both problems are known to be NP-complete in general. We show that Fixed-Order Book Thickness and Book Thickness are fixed-parameter tractable parameterized by the vertex cover number of the graph and that Fixed-Order Book Thickness is fixed-parameter tractable parameterized by the pathwidth of the vertex order.
UR - http://www.scopus.com/inward/record.url?scp=85076899006&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-35802-0_28
DO - 10.1007/978-3-030-35802-0_28
M3 - Conference contribution
AN - SCOPUS:85076899006
SN - 9783030358013
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 365
EP - 378
BT - Graph Drawing and Network Visualization - 27th International Symposium, GD 2019, Proceedings
A2 - Archambault, Daniel
A2 - Tóth, Csaba D.
PB - Springer
T2 - 27th International Symposium on Graph Drawing and Network Visualization, GD 2019
Y2 - 17 September 2019 through 20 September 2019
ER -