Abstract
A subdivision of a rectangle into rectangular faces with horizontal and vertical line segments is called a rectangular drawing or floorplan. Yamanaka and Nakano published a (5n − 5)-bit representation of a rectangular drawing, where n is the number of inner rectangles. In this paper, a (4n − 4)-bit representation of rectangular drawing is introduced. Moreover, this representation gives an alternative proof that the number of rectangles with n rectangles R(n) ≤ 13.5n − 1.
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References
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Takahashi, T., Fujimaki, R., Inoue, Y. (2009). A (4n − 4)-Bit Representation of a Rectangular Drawing or Floorplan. In: Ngo, H.Q. (eds) Computing and Combinatorics. COCOON 2009. Lecture Notes in Computer Science, vol 5609. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02882-3_6
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DOI: https://doi.org/10.1007/978-3-642-02882-3_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-02881-6
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