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Balanced k-Coloring of Polyominos
Toshihiko TAKAHASHI
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.E77-A
No.3
pp.517-520 Publication Date: 1994/03/25 Online ISSN:
DOI: Print ISSN: 0916-8508 Type of Manuscript: Special Section PAPER (Special Section on the 6th Karuizawa Workshop on Circuits and Systems) Category: Algorithms, Data Structure and Computational Complexity Keyword: polyomino, graph, coloring, balanced coloring,
Full Text: PDF>>
Summary:
A polyomino is a configuration composed of squares connected by sharing edges. A k-coloring of a polyomino is an assignment of k colors to the squares of the polyomino in such a way no two adjacent squares receive the same color. A k-coloring is called balanced if the difference of the number of squares in color i and that of squares in color j is at most one for any two colors i and j. In this paper, we show that any polyomino has balanced k-coloring for k 3.
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