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Distinguishing Classes of Intersection Graphs of Homothets or Similarities of Two Convex Disks. / Abrahamsen, Mikkel; Walczak, Bartosz.
39th International Symposium on Computational Geometry, SoCG 2023. red. / Erin W. Chambers; Joachim Gudmundsson. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023. s. 1-16 2 (Leibniz International Proceedings in Informatics, LIPIcs, Bind 258).
Publikation: Bidrag til bog/antologi/rapport › Konferencebidrag i proceedings › Forskning › fagfællebedømt
Harvard
Abrahamsen, M & Walczak, B 2023,
Distinguishing Classes of Intersection Graphs of Homothets or Similarities of Two Convex Disks. i EW Chambers & J Gudmundsson (red),
39th International Symposium on Computational Geometry, SoCG 2023., 2, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, Leibniz International Proceedings in Informatics, LIPIcs, bind 258, s. 1-16, 39th International Symposium on Computational Geometry, SoCG 2023, Dallas, USA,
12/06/2023.
https://doi.org/10.4230/LIPIcs.SoCG.2023.2
APA
Abrahamsen, M., & Walczak, B. (2023).
Distinguishing Classes of Intersection Graphs of Homothets or Similarities of Two Convex Disks. I E. W. Chambers, & J. Gudmundsson (red.),
39th International Symposium on Computational Geometry, SoCG 2023 (s. 1-16). [2] Schloss Dagstuhl - Leibniz-Zentrum für Informatik. Leibniz International Proceedings in Informatics, LIPIcs Bind 258
https://doi.org/10.4230/LIPIcs.SoCG.2023.2
Vancouver
Abrahamsen M, Walczak B.
Distinguishing Classes of Intersection Graphs of Homothets or Similarities of Two Convex Disks. I Chambers EW, Gudmundsson J, red., 39th International Symposium on Computational Geometry, SoCG 2023. Schloss Dagstuhl - Leibniz-Zentrum für Informatik. 2023. s. 1-16. 2. (Leibniz International Proceedings in Informatics, LIPIcs, Bind 258).
https://doi.org/10.4230/LIPIcs.SoCG.2023.2
Author
Abrahamsen, Mikkel ; Walczak, Bartosz. / Distinguishing Classes of Intersection Graphs of Homothets or Similarities of Two Convex Disks. 39th International Symposium on Computational Geometry, SoCG 2023. red. / Erin W. Chambers ; Joachim Gudmundsson. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023. s. 1-16 (Leibniz International Proceedings in Informatics, LIPIcs, Bind 258).
Bibtex
@inproceedings{ec720b6ab5a94ce29d3c97564a184dac,
title = "Distinguishing Classes of Intersection Graphs of Homothets or Similarities of Two Convex Disks",
abstract = "For smooth convex disks A, i.e., convex compact subsets of the plane with non-empty interior, we classify the classes Ghom(A) and Gsim(A) of intersection graphs that can be obtained from homothets and similarities of A, respectively. Namely, we prove that Ghom(A) = Ghom(B) if and only if A and B are affine equivalent, and Gsim(A) = Gsim(B) if and only if A and B are similar.",
keywords = "convex disk, geometric intersection graph, homothet, similarity",
author = "Mikkel Abrahamsen and Bartosz Walczak",
note = "Publisher Copyright: {\textcopyright} Mikkel Abrahamsen and Bartosz Walczak; licensed under Creative Commons License CC-BY 4.0.; 39th International Symposium on Computational Geometry, SoCG 2023 ; Conference date: 12-06-2023 Through 15-06-2023",
year = "2023",
doi = "10.4230/LIPIcs.SoCG.2023.2",
language = "English",
series = "Leibniz International Proceedings in Informatics, LIPIcs",
publisher = "Schloss Dagstuhl - Leibniz-Zentrum f{\"u}r Informatik",
pages = "1--16",
editor = "Chambers, {Erin W.} and Joachim Gudmundsson",
booktitle = "39th International Symposium on Computational Geometry, SoCG 2023",
}
RIS
TY - GEN
T1 - Distinguishing Classes of Intersection Graphs of Homothets or Similarities of Two Convex Disks
AU - Abrahamsen, Mikkel
AU - Walczak, Bartosz
N1 - Publisher Copyright:
© Mikkel Abrahamsen and Bartosz Walczak; licensed under Creative Commons License CC-BY 4.0.
PY - 2023
Y1 - 2023
N2 - For smooth convex disks A, i.e., convex compact subsets of the plane with non-empty interior, we classify the classes Ghom(A) and Gsim(A) of intersection graphs that can be obtained from homothets and similarities of A, respectively. Namely, we prove that Ghom(A) = Ghom(B) if and only if A and B are affine equivalent, and Gsim(A) = Gsim(B) if and only if A and B are similar.
AB - For smooth convex disks A, i.e., convex compact subsets of the plane with non-empty interior, we classify the classes Ghom(A) and Gsim(A) of intersection graphs that can be obtained from homothets and similarities of A, respectively. Namely, we prove that Ghom(A) = Ghom(B) if and only if A and B are affine equivalent, and Gsim(A) = Gsim(B) if and only if A and B are similar.
KW - convex disk
KW - geometric intersection graph
KW - homothet
KW - similarity
U2 - 10.4230/LIPIcs.SoCG.2023.2
DO - 10.4230/LIPIcs.SoCG.2023.2
M3 - Article in proceedings
AN - SCOPUS:85163543985
T3 - Leibniz International Proceedings in Informatics, LIPIcs
SP - 1
EP - 16
BT - 39th International Symposium on Computational Geometry, SoCG 2023
A2 - Chambers, Erin W.
A2 - Gudmundsson, Joachim
PB - Schloss Dagstuhl - Leibniz-Zentrum für Informatik
T2 - 39th International Symposium on Computational Geometry, SoCG 2023
Y2 - 12 June 2023 through 15 June 2023
ER -
