Abstract | ||
---|---|---|
We present the first data structure to maintain an embedded planar graph under arbitrary edge insertions, arbitrary edge deletions and queries that test whether the insertion of a new edge would violate the planarity of the embedding. Our data structure supports online updates and queries on an n-vertex embedded planar graph in O(log2
n) worst-case time, it can be built in linear time and requires linear storage. |
Year | DOI | Venue |
---|---|---|
1993 | 10.1007/3-540-57273-2_57 | ESA |
Keywords | Field | DocType |
extended abstract,dynamic planarity testing,data structure,linear time,planar graph | Topology,Discrete mathematics,Outerplanar graph,Combinatorics,Planarity testing,Computer science,Planar straight-line graph,Book embedding,Pathwidth,Topological graph theory,1-planar graph,Planar graph | Conference |
ISBN | Citations | PageRank |
3-540-57273-2 | 7 | 0.51 |
References | Authors | |
10 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Giuseppe F. Italiano | 1 | 2364 | 254.07 |
Johannes A. La Poutré | 2 | 308 | 24.78 |
Monika Rauch Henzinger | 3 | 4307 | 481.86 |