Theoretical Computer Science
Stop minding your p's and q's: a simplified O(n) planar embedding algorithm
Proceedings of the tenth annual ACM-SIAM symposium on Discrete algorithms
Journal of the ACM (JACM)
A simple test for the consecutive ones property
Journal of Algorithms
COCOON '01 Proceedings of the 7th Annual International Conference on Computing and Combinatorics
PC trees and circular-ones arrangements
Theoretical Computer Science - Computing and combinatorics
Journal of Computer and System Sciences
Errors in graph embedding algorithms
Journal of Computer and System Sciences
Hi-index | 0.00 |
Recent research efforts have produced new algorithms for solving planarity-related problems. One such method performs vertex addition using the PC-tree data structure, which is similar to but simpler than the well-known PQ-tree. For each vertex, the PC-tree is first checked to see if the new vertex can be added without violating certain planarity conditions; if the conditions hold, the PC-tree is adjusted to add the new vertex and processing continues. The full set of planarity conditions are required for a PC-tree planarity tester to report only planar graphs as planar. This paper provides further analyses and new planarity conditions needed to produce a correct planarity algorithm with a PC-tree.