| A. Czumaj and W.B. Strothmann, Bounded degree spanning trees. In Algorithms{ESA 97 (Graz), Springer Lecture Notes in Computer Science 1284 (1997) pages 104-117. |
....a better algorithm. Connectivity means vertex connectivity, unless stated otherwise. iii iv Joint Work Chapter 3 is joint work with Tamas Lukovszki and previously reported in [LS97] Chapter 4 Chapter 9 excluding Chapter 6 is joint work with Artur Czumaj and has been presented at ESA 97 [CS97] Sponsors My research has been partially supported by ffl ESPRIT Basic Research Action ALCOM II ffl EU ESPRIT Long Term Project 20244 (ALCOM IT) ffl DFG Leibniz Grant Me872 6 1 ffl DFG Research Cluster Me872 7 1: Efficient Algorithms for Discrete Problems and Their Applications ....
A. Czumaj and W.-B. Strothmann. Bounded degree spanning trees. In R. Burkhard and G. Woeginger, editors, Fifth Annual European Symposium on Algorithms (ESA`97), volume 1284 of Lecture Notes in Computer Science, Berlin \Delta Heidelberg \Delta New York \Delta London \Delta Paris, 1997. Springer.
....O(n) space. Finally we describe some simply additional operations on the decremental data structure. By aid of them this the data structure is applicable for finding efficiently a Delta spanning tree in a biconnected planar graph with a maximum degree 2 Delta Gamma 2 do to Czumaj and Strothmann [2]. Key Words: dynamic algorithms, graph algorithms, graph connectivity, planar graphs. 1 Introduction In many graph algorithms the graph is subject of changes, i.e: edge vertex insertion deletion. Due to this the adjacencies and the structure changes. Nevertheless in some applications there are ....
....additional operations splitting a vertex and contracting over an edge. By the aid of this operations one can construct in the same time and space bounds as in Theorem 1. 1 a spanning tree T of a biconnected planar graph G, where the degree of a vertex in T is roughly half of its degree in G [2]. The paper has five further sections. In Section 2 we describe preliminary definitions, followed by a section on planar subdivisions. In Section 4 we describe our data structures. In Section 5 we present the algorithm for the decremental biconnectivity problem together with an analysis. In the ....
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A. Czumaj and W.-B. Strothmann. Bounded Degree Spanning Trees. To appear in ESA 97.
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A. Czumaj and W.B. Strothmann, Bounded degree spanning trees. In Algorithms{ESA 97 (Graz), Springer Lecture Notes in Computer Science 1284 (1997) pages 104-117.
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