Abstract
A maximal independent set graph data structure for a body-centered cubic lattice is presented. Refinement and coarsening operations are defined in terms of set-operations resulting in robust and easy implementation compared to a quad-tree-based implementation. The graph only stores information corresponding to the leaves of a quad-tree thus has a smaller memory foot-print. The adjacency information in the graph relieves one from going up and down the quad-tree when searching for neighbors. This results in constant time complexities for refinement and coarsening operations.
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Erleben, K. Maximal independent set graph partitions for representations of body-centered cubic lattices. Vis Comput 25, 423–430 (2009). https://doi.org/10.1007/s00371-009-0330-8
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DOI: https://doi.org/10.1007/s00371-009-0330-8