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'''Simpath''' is an [[algorithm]] introduced by [[Donald Knuth]] that constructs a [[zero-suppressed decision diagram]] (ZDD) representing all simple paths between two vertices in a given graph.<ref>{{cite book|last1=Knuth|first1=Donald|title=The Art of Computer Programming, Volume 4A|date=2011|publisher=Addison-Wesley Professional: Boston, MA, USA|page=254,275}}</ref><ref>{{cite journal|title=Finding All Solutions and Instances of Numberlink and Slitherlink by ZDDs|journal=Algorithms|date=2012|volume=5|pages=176–213|doi=10.3390/a5020176}}</ref> |
'''Simpath''' is an [[algorithm]] introduced by [[Donald Knuth]] that constructs a [[zero-suppressed decision diagram]] (ZDD) representing all simple paths between two vertices in a given graph.<ref>{{cite book|last1=Knuth|first1=Donald|title=The Art of Computer Programming, Volume 4A|date=2011|publisher=Addison-Wesley Professional: Boston, MA, USA|page=254,275}}</ref><ref>{{cite journal|title=Finding All Solutions and Instances of Numberlink and Slitherlink by ZDDs|journal=Algorithms|date=2012|volume=5|issue=2|pages=176–213|doi=10.3390/a5020176|last1=Yoshinaka|first1=Ryo|last2=Saitoh|first2=Toshiki|last3=Kawahara|first3=Jun|last4=Tsuruma|first4=Koji|last5=Iwashita|first5=Hiroaki|last6=Minato|first6=Shin-Ichi}}</ref> |
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==References== |
==References== |
Revision as of 06:56, 16 August 2019
Simpath is an algorithm introduced by Donald Knuth that constructs a zero-suppressed decision diagram (ZDD) representing all simple paths between two vertices in a given graph.[1][2]
References
- ^ Knuth, Donald (2011). The Art of Computer Programming, Volume 4A. Addison-Wesley Professional: Boston, MA, USA. p. 254,275.
- ^ Yoshinaka, Ryo; Saitoh, Toshiki; Kawahara, Jun; Tsuruma, Koji; Iwashita, Hiroaki; Minato, Shin-Ichi (2012). "Finding All Solutions and Instances of Numberlink and Slitherlink by ZDDs". Algorithms. 5 (2): 176–213. doi:10.3390/a5020176.
{{cite journal}}
: CS1 maint: unflagged free DOI (link)
External links
Wikiquote has quotations related to Knuth's Simpath algorithm.
Wikimedia Commons has media related to Donald Ervin Knuth.
- Graphillion library which implements the algorithm for manipulating large sets of paths and other structures.
- [1], A CWEB implementation by Donald Knuth.