Bounds on the Geometric Mean of Arc Lengths for Bounded-Degree Planar Graphs [chapter]

Mohammad Khairul Hasan, Sung-Eui Yoon, Kyung-Yong Chwa
2009 Lecture Notes in Computer Science  
Data access time becomes the main bottleneck in applications dealing with large-scale graphs. Cache-oblivious layouts, constructed to minimize the geometric mean of arc lengths of graphs, have been adapted to reduce data access time during random walks on graphs. In this paper, we present a constant factor approximation algorithm for the Minimum Geometric Mean Layout (MGML) problem for bounded-degree planar graphs. We also derive an upper bound for any layout of the MGML problem. To the best of
more » ... our knowledge, these are the first results for the MGML problem with bounded-degree planar graphs.
doi:10.1007/978-3-642-02270-8_17 fatcat:fuak46wvkveoxjia6n4c5mdto4