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Showing 1 to 2 of 2 for “"peg solitaire"”.

  1. Peg Solitaire on Trees with Diameter Four

    … by Beeler and Hoilman, the traditional game of peg solitaire is generalized to graphs in the combinatorial sense. One of the important open problems in this paper was to classify solvable trees. In this thesis, we will give necessary and sufficient conditions for the solvability for all trees …

    etsu Repository record for Peg Solitaire on Trees with Diameter Four (opens in a new tab)

  2. Games on graphs, visibility representations, and graph colorings

    … version of the f-matching game on a graph G. Peg Solitaire is a game on connected graphs introduced by Beeler and Hoilman. In the game, pegs are placed on all but one vertex. If x, y, and z form a 3-vertex path and x and y each have a peg but z does not, then we can remove the pegs at x and y …

    uiuc Repository record for Games on graphs, visibility representations, and graph colorings (opens in a new tab)