NDLI: Ambivalent data structures for dynamic 2-edge-connectivity and k smallest spanning trees

Content Provider	IEEE Xplore Digital Library
Author	Frederickson, G.N.
Copyright Year	1991
Description	Author affiliation: Dept. of Comput. Sci., Purdue Univ., West Lafayette, IN, USA (Frederickson, G.N.)
Abstract	Ambivalent data structures are presented for several problems on undirected graphs. They are used in finding the k smallest spanning trees of a weighted undirected graph in O(m log beta (m,n)+min(k/sup 3/2/, km/sup 1/2/)) time, where m is the number of edges and n the number of vertices in the graph. The techniques are extended to find the k smallest spanning trees in an embedded planar graph in O(n+k(log n)/sup 3/) time. Ambivalent data structures are also used to maintain dynamically 2-edge-connectivity information. Edges and vertices can be inserted or deleted in O(m/sup 1/2/) time, and a query as to whether two vertices are in the same 2-edge-connected component can be answered in O(log n) time, where m and n are understood to be the current number of edges and vertices, respectively. Again, the techniques are extended to maintain an embedded planar graph so that edges and vertices can be inserted or deleted in O((log n)/sup 3/) time, and a query answered in O(log n) time.<>
Starting Page	632
Ending Page	641
File Size	888575
Page Count	10
File Format	PDF
ISBN	0818624450
DOI	10.1109/SFCS.1991.185429
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1991-10-01
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Tree data structures Tree graphs Data structures Computer science Contracts
Content Type	Text
Resource Type	Article

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