See this document in CiteSeerX!

Completeness results for Graph Isomorphism (2002)  (Make Corrections)  (1 citation)
Birgit Jenner, Johannes Köbler, et al.



  Home/Search   Context   Related

 
View or download:
samy.informatik.huberl...compgi.ps.gz
theorie.informatik.uni...completeiso.ps
Cached:  PS.gz  PS  PDF   Image  Update  Help

From:  samy.informatik.h...publikationen (more)
(Enter author homepages)

Rate this article: (best)
  Comment on this article  
(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)

Cited by:   More
An Attempt to Automate NP-Hardness Reductions via SO∃ Logic - Nijjar (2004)   (Correct)

Similar documents (at the sentence level):
39.2%:   The Complexity of Graph Isomorphism for Colored Graphs.. - Köbler, Torán   (Correct)
13.6%:   A Note on the Hardness of Tree Isomorphism - Jenner, McKenzie, Torán (1998)   (Correct)

Active bibliography (related documents):   More   All
0.9:   On the Hardness of Graph Isomorphism - Torán (2000)   (Correct)
0.5:   Searching constant width mazes captures the AC0 hierarchy - Barrington, Lu, Miltersen, .. (1998)   (Correct)
0.4:   On the Parallel Complexity of Tree Automata - Lohrey (2001)   (Correct)

Similar documents based on text:   More   All
0.7:   Tree Isomorphism and Some Other Complete Problems for.. - Jenner, Lange, McKenzie (1997)   (Correct)
0.5:   On Finding the Number of Graph Automorphisms - Robert Beals, Richard Chang.. (1996)   (Correct)
0.4:   Logspace and Logtime Leaf Languages - Jenner, McKenzie, Thérien (1996)   (Correct)

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" }
Citations (may not include all citations):
1450   The design and analysis of computer algorithms (context) - Aho, Hopcroft et al. - 1974
114   Bounded-width polynomial-size branching programs recognize e.. (context) - Barrington - 1989
98   An optimal lower bound for the number of variables for graph.. - Cai, urer et al. - 1992
70   The boolean formula value problem is in ALOGTIME - Buss - 1987
54   and logarithmic space (context) - Etessami, ers et al. - 1995
43   Symmetric space-bounded computation (context) - Lewis, Papadimitriou - 1982
39   Polynomial time algorithms for permutation groups (context) - Furst, Hopcroft et al. - 1980
29   Problems complete for deterministic logarithmic space (context) - Cook, McKenzie - 1987
25   Symmetric logspace is closed under complement - Nisan, Ta-Shma - 1995
22   The Graph Isomorphism Problem: Its Structural Complexity (context) - obler, Sch et al. - 1993
16   Moderately exponential bounds for graph isomorphism (context) - Babai - 1981
15   Monte Carlo algorithms for graph isomorphism testing (context) - Babai - 1979
14   Describing graphs: a rst order approach to graph canonizatio.. (context) - Immerman, Lander - 1990
14   On computing boolean connectives of characteristic functions (context) - Chang, Kadin - 1995
13   the nonuniform complexity of the graph isomorphism problem (context) - Lozano, Tor et al. - 1993
10   A logspace algorithm for tree canonization (context) - Lindell - 1992
9   algorithm for determining isomorphism of planar graphs (context) - Hopcroft, Tarjan - 1971
9   Isomorphism of bounded valence can be tested in polynomial t.. (context) - Luks - 1982
8   Parallel tree contraction part 2: Further applications (context) - Miller, Reif - 1991
7   A compendium of problems complete for symmetric logarithmic .. - Alvarez, Greenlaw - 2000
7   the hardness of graph isomorphism - Tor, On - 2000
6   Parallel algorithms for permutation groups and graph isomorp.. (context) - Luks - 1986
6   Alogtime algorithms for tree isomorphism (context) - Buss - 1997
4   A note on the hardness of tree isomorphism - Jenner, McKenzie et al. - 1998
4   matrices and nonassociative computation (context) - Beaudry, McKenzie - 1995
2   On uniformity within NC Journal of Computer and System Scien.. (context) - Barrington, Immerman et al. - 1990
1   The complexity of graph isomorphism for colored graphs with .. (context) - obler, Tor - 2002

Documents on the same site (http://samy.informatik.hu-berlin.de/Institut/struktur/algorithmenII/publikationen.html):   More
Graph Isomorphism is Low for ZPP(NP) and other Lowness results - Arvind, Köbler (2000)   (Correct)
On Distribution-Specific Learning With Membership Queries.. - Köbler, Lindner   (Correct)
Is the Standard Proof System for SAT P-optimal? (Extended.. - Köbler, Messner   (Correct)

Online articles have much greater impact   More about CiteSeer.IST   Add search form to your site   Submit documents   Feedback  

CiteSeer.IST - Copyright Penn State and NEC