Sperner Matroid
β Scribed by Shyh-Nan Lee; Mau-Hsiang Shih
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 121 KB
- Volume
- 81
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let [n] denote the n-set {1,2, . . . , n}, let k, 12 1 be integers. Define fi(n, k) as the minimum number f such that for every family F c 2'"' with (F( > f, for every k-coloring of [n], there exists a chain A, E. . . f Al+, in F in which the set of added elements, AI+l-A1, is monochromatic. We sur
An important enumerative invariant of a matroid M of rank d is its h-vector defined as (ho, hi ..... ha), where h~ is the coefficient ofx d-i in the polynomial T(M; x, 1), where T(M; x, y) is the Tutte polynomial of M [3]. We refer to Bj6rner's chapter [1] and to [4] for a comprehensive discussion o
If M is a loopless matroid in which MIX and MI Y are connected and X c~ Y is non-empty, then one easily shows that MI(X u Y) is connected. Likewise, it is straightforward to show that if G and H are n-connected graphs having at least n common vertices, then G u H is nconnected. The purpose of this n