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|Title: ||Lower Bounds for Dynamic Connectivity Problems in Graphs|
|Authors: ||Fredman, Michael L.|
Rauch, Monika H.
|Keywords: ||computer science|
|Issue Date: ||Apr-1994|
|Publisher: ||Cornell University|
|Abstract: ||We prove lower bounds on the complexity of maintaining fully dynamic $k$-edge or $k$-vertex connectivity in plane graphs and in $(k-1)$-vertex connected graphs. We show an amortized lower bound of $\Omega(\log n/k(\log\log n + \log b))$ per edge insertion or deletion or per query operation in the cell probe model, where $b$ is the word size of the machine and $n$ is the number of vertices in $G$. We also show an amortized lower bound of $\Omega(\log n/(\log\log n + \log b))$ per operation for fully dynamic planarity testing in embedded graphs. These are the first lower bounds for dynamic connectivity problems.|
|Appears in Collections:||Computer Science Technical Reports|
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