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Sperner Matroid

✍ Scribed by Shyh-Nan Lee; Mau-Hsiang Shih


Publisher
Springer
Year
2003
Tongue
English
Weight
121 KB
Volume
81
Category
Article
ISSN
0003-889X

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πŸ“œ SIMILAR VOLUMES


Sperner capacities
✍ L. Gargano; J. KΓΆrner; U. Vaccaro πŸ“‚ Article πŸ“… 1993 πŸ› Springer Japan 🌐 English βš– 626 KB
Ramsey–Sperner theory
✍ ZoltΓ‘n FΓΌredi; Jerrold R. Griggs; Andrew M. Odlyzko; James B. Shearer πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 667 KB

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

Matroid inequalities
✍ Manoj K. Chari πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 188 KB

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

On counting Sperner families
✍ Raymond Balbes πŸ“‚ Article πŸ“… 1979 πŸ› Elsevier Science 🌐 English βš– 405 KB
A sperner-type theorem
✍ Attila Sali πŸ“‚ Article πŸ“… 1985 πŸ› Springer Netherlands 🌐 English βš– 225 KB
On matroid connectivity
✍ James Oxley; Haidong Wu πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 138 KB

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