(Enter summary)
Abstract: We prove that the graph isomorphism problem restricted to trees
and to colored graphs with color multiplicities 2 and 3 is many-one
complete for several complexity classes within NC
. In particular
we show that tree isomorphism, when trees are encoded as strings,
is NC
-hard under AC
-reductions. NC
-completeness thus follows
from Buss's NC
upper bound. By contrast, we prove that testing
isomorphism of two trees encoded as pointer lists is L-complete. Concerning
colored... (Update)
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BibTeX entry: (Update)
Birgit Jenner, Johannes K obler, Pierre McKenzie, and Jacobo Tor an. Completeness results for graph isomorphism. Journal of Computer and Ststem Sciences (JCSS), 66:549--566, 2003. http://citeseer.ist.psu.edu/jenner02completeness.html More
@misc{ jenner03completeness,
author = "B. Jenner and J. obler and P. McKenzie and J. an",
title = "Completeness results for graph isomorphism",
text = "Birgit Jenner, Johannes K obler, Pierre McKenzie, and Jacobo Tor an. Completeness
results for graph isomorphism. Journal of Computer and Ststem Sciences (JCSS),
66:549--566, 2003.",
year = "2003",
url = "citeseer.ist.psu.edu/jenner02completeness.html" }
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