Graph History Interaction

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Graph History Interaction (GHI) is a general term related to the path-dependency in search algorithms. GHI occurs when the same game position behaves differently when reached via different paths.

=See also=
 * Path-Dependency
 * Transposition
 * Transposition Table
 * Repetitions
 * Fifty-move Rule

=Selected Publications=
 * Murray Campbell (1985). The graph-history interaction: on ignoring position history. Computer Science Department, Carnegie Mellon University, Proceedings of the 1985 ACM annual conference, pdf
 * Dennis Breuker, Jaap van den Herik, Jos Uiterwijk, Victor Allis (1998). A Solution to the GHI Problem for Best-First Search. CG 1998
 * Thomas Lincke (2002). Exploring the Computational Limits of Large Exhaustive Search Problems. Ph.D thesis, ETH Zurich, pdf, Chapter 4.3 Cycles
 * Akihiro Kishimoto, Martin Müller (2004). A General Solution to the Graph History Interaction Problem. American Association for Artificial Intelligence (AAAI) National Conference, pp. 644-649, pdf
 * Akihiro Kishimoto, Martin Müller (2005). A Solution to the GHI Problem for Depth-First Proof-Number Search. 7th Joint Conference on Information Sciences (JCIS2003), pages 489 - 492, pdf » Proof-Number Search
 * Kuang-che Wu, Shun-Chin Hsu, Tsan-sheng Hsu (2005). The Graph-History Interaction Problem in Chinese Chess. Advances in Computer Games 11
 * Daniel Andersson (2009). Perfect-Information Games with Cycles. Ph.D. thesis, Aarhus University, advisor Peter Bro Miltersen, pdf

=Forum Posts=

2000 ...

 * "Don't trust draw score" <=Is it true? by Teerapong Tovirat, CCC, August 08, 2001 » Repetitions
 * Algorithm question for Heiner by Tim Foden from CCC, April 03, 2002

2010 ...

 * "No progress" and Graph History Interaction by BB+, OpenChess Forum, January 23, 2011 » Fortress
 * Repetitions/50 moves and TT by Sergei Markoff, CCC, September 13, 2011
 * Graph History Interaction Problem by Cary Cherng, CCC, September 21, 2012
 * Aquarium IDEA, repetitions, and minimax over cycles by kevinfat, OpenChess Forum, September 17, 2012 » Aquarium
 * Another GHI example in SF (maybe) by BB+, OpenChess Forum, December 30, 2015 » Stockfish
 * Graph History Interaction 2 questions by Jouni Uski, CCC, December 15, 2019 » Fifty-move Rule

=External Links=
 * The Graph History Interaction (GHI) Problem by Martin Müller

=References=

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