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Flipping triangles and rectangles

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  • Minghui Jiang

    (Utah State University)

Abstract

We study the chromatic number of the flip graph of triangles determined by n points in convex position in the plane, and present new or improved bounds on several related parameters for this graph. We also find the chromatic numbers of two related graphs: the rectangle flip graph which generalizes the shift graph, and the rolling block graph from the popular puzzle “Rolling Block Maze.”

Suggested Citation

  • Minghui Jiang, 2013. "Flipping triangles and rectangles," Journal of Combinatorial Optimization, Springer, vol. 26(4), pages 755-769, November.
    • Handle: RePEc:spr:jcomop:v:26:y:2013:i:4:d:10.1007_s10878-012-9480-0
    DOI: 10.1007/s10878-012-9480-0
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