%0 Journal Article
%T Computation of atomic fibers of Z-linear maps
%A Elke Eisenschmidt
%A Raymond Hemmecke
%A Matthias K£¿ppe
%J Contributions to Discrete Mathematics
%D 2011
%I University of Calgary
%X For given matrix $Ain^{d imes n}$, the set $P_{b}={z:Az=b,zin^n_+}$ describes the preimage or fiber of $bin^d$ under the $$-linear map $f_A:^n_+ ightarrow^d$, $xmapsto Ax$. The fiber $P_{b}$ is called atomic, if $P_{b}=P_{b_1}+P_{b_2}$ implies $b=b_1$ or $b=b_2$. In this paper we present a novel algorithm to compute such atomic fibers. An algorithmic solution to appearing subproblems, computational examples and applications are included as well.
%U http://cdm.math.ucalgary.ca/cdm/index.php/cdm/article/view/224