Transition operations over plane trees

Torrie L. Nichols, Alexander Pilz, Csaba D. Tóth, Ahad N. Zehmakan

Publikation: Beitrag in Buch/Bericht/KonferenzbandBeitrag in einem KonferenzbandForschungBegutachtung

Abstract

The operation of transforming one spanning tree into another by replacing an edge has been considered widely, both for general and geometric graphs. For the latter, several variants have been studied (e.g., edge slides and edge rotations). In a transition graph on the set T(S) of noncrossing straight-line spanning trees on a finite point set S in the plane, two spanning trees are connected by an edge if one can be transformed into the other by such an operation. We study bounds on the diameter of these graphs, and consider the various operations both on general point sets and sets in convex position. In addition, we address the problem variant where operations may be performed simultaneously. We prove new lower and upper bounds for the diameters of the corresponding transition graphs and pose open problems.

Originalspracheenglisch
TitelLATIN 2018
UntertitelTheoretical Informatics - 13th Latin American Symposium, Proceedings
Herausgeber (Verlag)Springer Verlag Heidelberg
Seiten835-848
Seitenumfang14
ISBN (Print)9783319774039
DOIs
PublikationsstatusVeröffentlicht - 1 Jan 2018
Extern publiziertJa
Veranstaltung13th International Symposium on Latin American Theoretical Informatics, LATIN 2018 - Buenos Aires, Argentinien
Dauer: 16 Apr 201819 Apr 2018

Publikationsreihe

NameLecture Notes in Computer Science
Band10807
ISSN (Print)0302-9743
ISSN (elektronisch)1611-3349

Konferenz

Konferenz13th International Symposium on Latin American Theoretical Informatics, LATIN 2018
LandArgentinien
OrtBuenos Aires
Zeitraum16/04/1819/04/18

ASJC Scopus subject areas

  • !!Theoretical Computer Science
  • !!Computer Science(all)

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  • Dieses zitieren

    Nichols, T. L., Pilz, A., Tóth, C. D., & Zehmakan, A. N. (2018). Transition operations over plane trees. in LATIN 2018: Theoretical Informatics - 13th Latin American Symposium, Proceedings (S. 835-848). (Lecture Notes in Computer Science; Band 10807 ). Springer Verlag Heidelberg. https://doi.org/10.1007/978-3-319-77404-6_60