منابع مشابه
A Note on Approximating Inclusion-Exclusion for k-CNF Formulas
The number of satisfying assignments of k-CNF formulas is computed using the inclusion-exclusion formula for sets of clauses. Recently, it was shown that the information on the sets of clauses of size ≤ log k + 2 already uniquely determines the number of satisfying assignments of k-CNF formulas [1]. The proof was, however, only existential and no explicit procedure was presented. In this paper,...
متن کاملApproximate Inclusion - Exclusion for Arbitrary Symmetric Functions ∗
Let A 1 , A 2 ,. .. , A n be events in some probability space. The approximate inclusion-exclusion problem, due to Linial and Nisan (1990), is to estimate Pr[A 1 ∪· · ·∪A n ] given Pr[ i∈S A i ] for all |S | k. Kahn et al. (1996) solve this problem optimally for each k. We study the following more general question: given Pr[ i∈S A i ] for all |S | k, estimate Pr the number of events among A 1 ,...
متن کاملInclusion-exclusion meets exclusion
When evaluating the inclusion-exclusion expansion N0 −N(1) −N(2) − · · ·+N(1, 2) +N(1, 3) + · · · many of the terms N(· · ·) may turn out to be zero, and hence should be discarded beforehand. Often this can be done.
متن کاملOn Ternary Inclusion - Exclusion Polynomials
Taking a combinatorial point of view on cyclotomic polynomials leads to a larger class of polynomials we shall call the inclusion-exclusion polynomials. This gives a more appropriate setting for certain types of questions about the coefficients of these polynomials. After establishing some basic properties of inclusion-exclusion polynomials we turn to a detailed study of the structure of ternar...
متن کاملThe Inclusion-Exclusion Principle for IF-States
Applying two definitions of the union of IF-events, P. Grzegorzewski gave two generalizations of the inclusion-exclusion principle for IF-events.In this paper we prove an inclusion-exclusion principle for IF-states based on a method which can also be used to prove Grzegorzewski's inclusion-exclusion principle for probabilities on IF-events.Finally, we give some applications of this principle by...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 1997
ISSN: 0166-218X
DOI: 10.1016/s0166-218x(96)00048-0