منابع مشابه
Splitting systems and separating systems
Suppose m and t are integers such that 0 < t ≤ m. An (m, t) splitting system is a pair (X,B) where |X| = m, B is a set of bm2 c subsets of X, called blocks such that for every Y ⊆ X and |Y | = t, there exists a block B ∈ B such that |B ∩Y | = b t 2c or |(X \B)∩Y | = b t 2c. We will give some results on splitting systems for t = 2 or 4 which often depend on results from uniform separating system...
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We study separating systems of the edges of a graph where each member of the separating system is a path. We conjecture that every n-vertex graph admits a separating path system of size O(n) and prove this in certain interesting special cases. In particular, we establish this conjecture for random graphs of all densities and graphs with linear minimum degree. We also obtain tight bounds on the ...
متن کاملMore on -Separating Systems
The theory of separating systems has been applied in different areas of science and technology such as automata synthesis, technical diagnosis, and authenticating ownership claims. Constructions of (2 2)-separating systems derived from error-correcting codes are given, together with bounds on their parameters based on distance considerations.
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2004
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(03)00280-2