On functions of strength t

Deza, M. ; Frankl, P. ; Singhi, N. M. (1983) On functions of strength t Combinatorica, 3 (3-4). pp. 331-339. ISSN 0209-9683

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Official URL: http://www.springerlink.com/content/n4lp0716257412...

Related URL: http://dx.doi.org/10.1007/BF02579189


For a finite set X, a function f:P(X) →Z is said to have strengtht if ∑ACBf(B)=0 for all A∈P (X), |A|≦t. Supports of functions of strength t define a matroid on P(X). We study the circuits in this matroid. Some other related problems are also discussed.

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