色多项式与块堆
Chromatic Polynomial and Heaps of Pieces
摘要：
斯坦利在他的论文[斯坦利，理查德P：图的非循环定向在：离散数学5（1973），Nr. 2，S. 171-178.]提供了当用负整数代替色多项式时的解释。格林和Zaslavsky解释系数的色多项式在[格林，柯蒂斯; Zaslavsky，托马斯：关于解释惠特尼数通过安排超平面，zonotopes，非氡分区，和方向的图形。见：美国数学学会学报280（1983），1月，Nr。1，S. 97-97.]我们将开发一个对合的factorisations堆件和使用这种对合，我们将提供双射证明结果从这两个文件。
英文摘要：
Stanley in his paper [Stanley, Richard P.: Acyclic orientations of graphs In: Discrete Mathematics 5 (1973), Nr. 2, S. 171-178.] provided interpretations of the chromatic polynomial when it is substituted with negative integers. Greene and Zaslavsky interpreted the coefficients of the chromatic polynomial in [Greene, Curtis ; Zaslavsky, Thomas: On the interpretation of Whitney numbers through arrangements of hyperplanes, zonotopes, non-Radon partitions, and orientations of graphs. In: Transactions of the American Mathematical Society 280 (1983), jan, Nr. 1, S. 97-97.]. We shall develop an involution on factorisations of heaps of pieces and using this involution, we shall provide bijective proofs to results from both the papers.
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