TY - GEN

T1 - Maintenance of a minimum spanning forest in a dynamic planar graph

AU - Eppstein, David

AU - Italiano, Giuseppe F.

AU - Tamassia, Roberto

AU - Tarjan, Robert E.

AU - Westbrook, Jeffery

AU - Yung, Moti

PY - 1990/1/1

Y1 - 1990/1/1

N2 - We give efficient algorithms for maintaining a minimum spanning forest of a planar graph subject to on-line modifications. The modifications supported include changes in the edge weights, and insertion and deletion of edges and vertices. To implement the algorithms, we develop a data structure called an edge-ordered dynamic tree, which is a variant of the dynamic tree data structure of Sleator and Tarjan. Using this data structure, our algorithms run in O(logn) time per operation and O(n) space. The algorithms can be used to maintain the connected components of a dynamic planar graph in O(logn) time per operation.

AB - We give efficient algorithms for maintaining a minimum spanning forest of a planar graph subject to on-line modifications. The modifications supported include changes in the edge weights, and insertion and deletion of edges and vertices. To implement the algorithms, we develop a data structure called an edge-ordered dynamic tree, which is a variant of the dynamic tree data structure of Sleator and Tarjan. Using this data structure, our algorithms run in O(logn) time per operation and O(n) space. The algorithms can be used to maintain the connected components of a dynamic planar graph in O(logn) time per operation.

UR - http://www.scopus.com/inward/record.url?scp=85031912028&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85031912028&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:85031912028

T3 - Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms

SP - 1

EP - 11

BT - Proceedings of the 1st Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 1990

PB - Association for Computing Machinery

T2 - 1st Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 1990

Y2 - 22 January 1990 through 24 January 1990

ER -