2015 | OriginalPaper | Buchkapitel
A Practical Succinct Data Structure for Tree-Like Graphs
verfasst von : Johannes Fischer, Daniel Peters
Erschienen in: WALCOM: Algorithms and Computation
Verlag: Springer International Publishing
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We present a new succinct data structure for graphs that are “tree-like,” in the sense that the number of “additional” edges (w.r.t. a spanning tree) is not too high. Our algorithmic idea is to represent a BFS-spanning tree of the graph with a succinct data structure for trees, and enhance it with additional information that accounts for the non-tree edges. In practical tests, our data structure performs well for graphs containing up to 10% of non-tree edges, reducing the space of a pointer-based representation by a factor of ≈20, while increasing the worst-case running times for the operations by roughly the same factor.