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On counting homomorphisms to directed acyclic graphs
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Dyer, Martin, Goldberg, Leslie Ann and Paterson, Michael S. (2006) On counting homomorphisms to directed acyclic graphs. In: 33rd International Colloquium on Automata, Languages and Programming, Venice, Italy, 10-14 Jul 2006. Published in: Lecture Notes in Computer Science, Volume 4051 pp. 38-49. ISBN 3-540-35904-4. doi:10.1007/11786986_5 ISSN 0302-9743.
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Abstract
We give a dichotomy theorem for the problem of counting homomorphisms to directed acyclic graphs. H is a fixed directed acyclic graph. The problem is, given an input digraph G, to determine how many homomorphisms there are from G to H. We give a graph-theoretic classification, showing that for some digraphs H, the problem is in P and for the rest of the digraphs H the problem is #P-complete. An interesting feature of the dichotomy, absent from related dichotomy results, is the rich supply of tractable graphs H with complex structure.
Item Type: | Conference Item (Paper) | ||||
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Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Computer Science | ||||
Series Name: | LECTURE NOTES IN COMPUTER SCIENCE | ||||
Journal or Publication Title: | Lecture Notes in Computer Science | ||||
Publisher: | Springer | ||||
ISBN: | 3-540-35904-4 | ||||
ISSN: | 0302-9743 | ||||
Editor: | Bugliesi, M and Preneel, B and Sassone, V and Wegener, I | ||||
Official Date: | 2006 | ||||
Dates: |
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Volume: | Volume 4051 | ||||
Number of Pages: | 12 | ||||
Page Range: | pp. 38-49 | ||||
DOI: | 10.1007/11786986_5 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Conference Paper Type: | Paper | ||||
Title of Event: | 33rd International Colloquium on Automata, Languages and Programming | ||||
Type of Event: | Other | ||||
Location of Event: | Venice, Italy | ||||
Date(s) of Event: | 10-14 Jul 2006 |
Data sourced from Thomson Reuters' Web of Knowledge
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