Universal point subsets for planar graphs
Visualitza/Obre
10.1007/978-3-642-35261-4_45
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/18077
Tipus de documentText en actes de congrés
Data publicació2012
EditorSpringer
Condicions d'accésAccés obert
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continguts d'aquesta obra estan subjectes a la llicència de Creative Commons
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Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
Abstract
A set S of k points in the plane is a universal point subset for a class G of planar graphs if every graph belonging to G admits a planar straight-line drawing such that k of its vertices are represented by the points of S . In this paper we study the following main problem: For a given class of graphs, what is the maximum k such that there exists a universal point subset of size k ? We provide a ⌈ √ n ⌉ lower bound on k for the class of planar graphs with n ver- tices. In addition, we consider the value F ( n; G ) such that every set of F ( n; G ) points in general position is a universal subset for all graphs with n vertices be- longing to the family G , and we establish upper and lower bounds for F ( n; G ) for different families of planar graphs, including 4-connected planar graphs and nested-triangles graphs.
CitacióAngelini, P. [et al.]. Universal point subsets for planar graphs. A: International Symposium on Algorithms and Computation. "Lecture Notes in Computer Science". Taipei: Springer, 2012, p. 423-432.
ISBN978-3-642-35261-4
Versió de l'editorhttp://link.springer.com/chapter/10.1007/978-3-642-35261-4_45
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upsub-ISAAC2012.pdf | text final per a actes ISAAC 2012 | 163,1Kb | Visualitza/Obre |