Search Space Contraction in Canonical Labeling of Graphs. The individualization-refinement paradigm for computing a canonical labeling and the automorphism group of a graph is investigated. A new algorithmic design aimed at reducing the size of the associated search space is introduced, and a new tool, named ”Traces”, is presented, together with experimental results and comparisons with existing software, such as McKay’s ”nauty”. It is shown that the approach presented here leads to a huge reduction in the search space, thereby making computation feasible for several classes of graphs which are hard for all the main canonical labeling tools in the literature.
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References in zbMATH (referenced in 3 articles )
Showing results 1 to 3 of 3.
- Bliss, Nathan; Sommars, Jeff; Verschelde, Jan; Yu, Xiangcheng: Solving polynomial systems in the cloud with polynomial homotopy continuation (2015)
- McKay, Brendan D.; Piperno, Adolfo: Practical graph isomorphism. II. (2014)
- Piperno, Adolfo: Search space contraction in canonical labeling of graphs (Preliminary version) (2008)