Colored Simultaneous Geometric Embeddings

Autor: Brandes, Ulrik, Erten, Cesim, Fowler, James, Frati, Fabrizio, Geyer, Markus, Gutwenger, Carsten, Hong, Seokhee, Kaufmann, Michael, Kobourov, Stephen G., Liotta, Giuseppe
Jazyk: angličtina
Rok vydání: 2007
Předmět:
Popis: We introduce the concept of colored simultaneous geometric embeddings as a generalization of simultaneous graph embeddings with and without mapping. We show that there exists a universal pointset of size n for paths colored with two or three colors. We use these results to show that colored simultaneous geometric embeddings exist for: (1) a 2-colored tree together with any number of 2-colored paths and (2) a 2-colored outerplanar graph together with any number of 2-colored paths. We also show that there does not exist a universal pointset of size n for paths colored with five colors. We finally show that the following simultaneous embeddings are not possible: (1) three 6-colored cycles, (2) four 6-colored paths, and (3) three 9-colored paths.
Databáze: OpenAIRE