Can I read Monomial Testing and Applications on EtoBox?

Monomial Testing and Applications by Chen, Shenshi is a scholarly article available to read on EtoBox.

What is Monomial Testing and Applications about?

In this paper, we devise two algorithms for the problem of testing $q$-monomials of degree $k$ in any multivariate polynomial represented by a circuit, regardless of the primality of $q$. One is an $O^*(2^k)$ time randomized algorithm. The other is an $O^*(12.8^k)$ time deterministic algorithm for the same $q$-monomial testing problem but requiring the polynomials to be represented by tree-like circuits. Several applications of $q$-monomial testing are also given, including a deterministic $O^*(12.8^{mk})$ upper bound for the $m$-set $k$-packing problem.

Author

Chen, Shenshi

Published

2013

Language

EN