A property of colored complexes and their duals
نویسنده
چکیده
A ranked poset P is a Macaulay poset if there is a linear order of the elements of P such that for any m; i the set C(m; i) of the m (with respect to) smallest elements of rank i has minimum{sized shadow among all m{element subsets of the i{th level, and the shadow of C(m; i) consists of the smallest elements of the (i ? 1){st level. P is called shadow{increasing if for all m; i the shadow of C(m; i) is not smaller than the shadow of C(m; i?1). We show that colored complexes and their duals, the star posets, are shadow{increasing.
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ورودعنوان ژورنال:
- Discrete Mathematics
دوره 213 شماره
صفحات -
تاریخ انتشار 2000