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“It appears then that the essence of chess is its abstract structure. Names and shapes of pieces, colors of squares, whether the “squares” are in fact square, even the physical existence of board and pieces, are all irrelevant. What is relevant is the number and geometric arrangement of the “squares”, the number of types of piece and the number of pieces of each type, the quantitative-geometric power of each piece, etc. Everything else is a visual aid or a fairy tale.”

Richard J. Trudeau, Introduction to Graph Theory
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Introduction to Graph Theory (Dover Books on Mathematics) Introduction to Graph Theory by Richard J. Trudeau
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