Testing Upward Planarity of Partial 2-Trees

Steven Chaplick; Emilio Di giacomo; Fabrizio Frati; Robert Ganian; Chrysanthi N. Raftopoulou; Kirill Simonov

doi:10.1007/978-3-031-22203-0_13

Testing Upward Planarity of Partial 2-Trees

Steven Chaplick, Emilio Di giacomo, Fabrizio Frati^*, Robert Ganian, Chrysanthi N. Raftopoulou, Kirill Simonov

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic

Abstract

We present an O(n(2))-time algorithm to test whether an n-vertex directed partial 2-tree is upward planar. This result improves upon the previously best known algorithm, which runs in O(n(4)) time.

Original language	English
Title of host publication	Graph Drawing and Network Visualization - 30th International Symposium, GD 2022, Revised Selected Papers
Editors	Patrizio Angelini, Reinhard von Hanxleden
Publisher	Springer, Cham
Pages	175-187
Number of pages	13
Volume	13764
ISBN (Electronic)	978-3-031-22203-0
ISBN (Print)	978-3-031-22202-3
DOIs	https://doi.org/10.1007/978-3-031-22203-0_13
Publication status	Published - 2023
Event	The 30th International Symposium on Graph Drawing and Network Visualization - Tokyo, Japan Duration: 13 Sept 2022 → 16 Sept 2022 https://graphdrawing.github.io/gd2022/

Publication series

Series	Lecture Notes in Computer Science
Volume	13764
ISSN	0302-9743

Symposium

Symposium	The 30th International Symposium on Graph Drawing and Network Visualization
Abbreviated title	GD 2022
Country/Territory	Japan
City	Tokyo
Period	13/09/22 → 16/09/22
Internet address	https://graphdrawing.github.io/gd2022/

Access to Document

10.1007/978-3-031-22203-0_13

https://link.springer.com/10.1007/978-3-031-22203-0_13

1 Preprint

Testing Upward Planarity of Partial 2-Trees
Chaplick, S., Giacomo, E. D., Frati, F., Ganian, R., Raftopoulou, C. N. & Simonov, K., 26 Aug 2022.
Research output: Working paper / Preprint › Preprint

Cite this

Chaplick, S., Di giacomo, E., Frati, F., Ganian, R., Raftopoulou, C. N., & Simonov, K. (2023). Testing Upward Planarity of Partial 2-Trees. In P. Angelini, & R. von Hanxleden (Eds.), Graph Drawing and Network Visualization - 30th International Symposium, GD 2022, Revised Selected Papers (Vol. 13764, pp. 175-187). Article Chapter 13 Springer, Cham. https://doi.org/10.1007/978-3-031-22203-0_13

@inbook{78f018f69e1345418e63226c42cb3242,

title = "Testing Upward Planarity of Partial 2-Trees",

abstract = "We present an O(n(2))-time algorithm to test whether an n-vertex directed partial 2-tree is upward planar. This result improves upon the previously best known algorithm, which runs in O(n(4)) time.",

author = "Steven Chaplick and \{Di giacomo\}, Emilio and Fabrizio Frati and Robert Ganian and Raftopoulou, \{Chrysanthi N.\} and Kirill Simonov",

note = "Funding Information: Acknowledgments. Ganian and Simonov acknowledge support by the Austrian Science Foundation (FWF Project Y1329). Di Giacomo and Frati acknowledge support by MIUR (PRIN project 20174LF3T8). Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.; The 30th International Symposium on Graph Drawing and Network Visualization, GD 2022 ; Conference date: 13-09-2022 Through 16-09-2022",

year = "2023",

doi = "10.1007/978-3-031-22203-0\_13",

language = "English",

isbn = "978-3-031-22202-3",

volume = "13764",

series = "Lecture Notes in Computer Science",

publisher = "Springer, Cham",

pages = "175--187",

editor = "Patrizio Angelini and \{von Hanxleden\}, Reinhard",

booktitle = "Graph Drawing and Network Visualization - 30th International Symposium, GD 2022, Revised Selected Papers",

address = "Switzerland",

url = "https://graphdrawing.github.io/gd2022/",

}

Chaplick, S, Di giacomo, E, Frati, F, Ganian, R, Raftopoulou, CN & Simonov, K 2023, Testing Upward Planarity of Partial 2-Trees. in P Angelini & R von Hanxleden (eds), Graph Drawing and Network Visualization - 30th International Symposium, GD 2022, Revised Selected Papers. vol. 13764, Chapter 13, Springer, Cham, Lecture Notes in Computer Science, vol. 13764, pp. 175-187, The 30th International Symposium on Graph Drawing and Network Visualization, Tokyo, Japan, 13/09/22. https://doi.org/10.1007/978-3-031-22203-0_13

Testing Upward Planarity of Partial 2-Trees. / Chaplick, Steven; Di giacomo, Emilio; Frati, Fabrizio et al.
Graph Drawing and Network Visualization - 30th International Symposium, GD 2022, Revised Selected Papers. ed. / Patrizio Angelini; Reinhard von Hanxleden. Vol. 13764 Springer, Cham, 2023. p. 175-187 Chapter 13 (Lecture Notes in Computer Science, Vol. 13764).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic

TY - CHAP

T1 - Testing Upward Planarity of Partial 2-Trees

AU - Chaplick, Steven

AU - Di giacomo, Emilio

AU - Frati, Fabrizio

AU - Ganian, Robert

AU - Raftopoulou, Chrysanthi N.

AU - Simonov, Kirill

N1 - Funding Information: Acknowledgments. Ganian and Simonov acknowledge support by the Austrian Science Foundation (FWF Project Y1329). Di Giacomo and Frati acknowledge support by MIUR (PRIN project 20174LF3T8). Publisher Copyright: © 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.

PY - 2023

Y1 - 2023

N2 - We present an O(n(2))-time algorithm to test whether an n-vertex directed partial 2-tree is upward planar. This result improves upon the previously best known algorithm, which runs in O(n(4)) time.

AB - We present an O(n(2))-time algorithm to test whether an n-vertex directed partial 2-tree is upward planar. This result improves upon the previously best known algorithm, which runs in O(n(4)) time.

U2 - 10.1007/978-3-031-22203-0_13

DO - 10.1007/978-3-031-22203-0_13

M3 - Chapter

SN - 978-3-031-22202-3

VL - 13764

T3 - Lecture Notes in Computer Science

SP - 175

EP - 187

BT - Graph Drawing and Network Visualization - 30th International Symposium, GD 2022, Revised Selected Papers

A2 - Angelini, Patrizio

A2 - von Hanxleden, Reinhard

PB - Springer, Cham

T2 - The 30th International Symposium on Graph Drawing and Network Visualization

Y2 - 13 September 2022 through 16 September 2022

ER -

Chaplick S, Di giacomo E, Frati F, Ganian R, Raftopoulou CN, Simonov K. Testing Upward Planarity of Partial 2-Trees. In Angelini P, von Hanxleden R, editors, Graph Drawing and Network Visualization - 30th International Symposium, GD 2022, Revised Selected Papers. Vol. 13764. Springer, Cham. 2023. p. 175-187. Chapter 13. (Lecture Notes in Computer Science, Vol. 13764). Epub 2023 Jan 19. doi: 10.1007/978-3-031-22203-0_13

Testing Upward Planarity of Partial 2-Trees

Abstract

Publication series

Symposium

Access to Document

Fingerprint

Research output

Testing Upward Planarity of Partial 2-Trees

Cite this