Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9505825 | Advances in Applied Mathematics | 2005 | 17 Pages |
Abstract
It is shown that if a mapping from the n-dimensional hypercube to itself has the property that all the boolean eigenvalues of the discrete Jacobian matrix of each element of the hypercube are zero, then it has a unique fixed point. This answers to the “Combinatorial Fixed Point Conjecture”, a combinatorial version of the Jacobian conjecture.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Mau-Hsiang Shih, Jian-Lang Dong,