The flipping puzzle on a graph

Hau wen Huang*, Chih-wen Weng

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Let S be a connected graph which contains an induced path of n-1 vertices, where n is the order of S. We consider a puzzle on S. A configuration of the puzzle is simply an n-dimensional column vector over {0,1} with coordinates of the vector indexed by the vertex set S. For each configuration u with a coordinate us=1, there exists a move that sends u to the new configuration which flips the entries of the coordinates adjacent to s in u. We completely determine if one configuration can move to another in a sequence of finite steps.

Original languageEnglish
Pages (from-to)1567-1578
Number of pages12
JournalEuropean Journal of Combinatorics
Issue number6
StatePublished - 1 Aug 2010


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