Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8903012 | Discrete Mathematics | 2018 | 8 Pages |
Abstract
We show that every nontrivial finite or infinite connected directed graph with loops and at least one vertex without a loop is uniquely representable as a Cartesian or weak Cartesian product of prime graphs. For finite graphs the factorization can be computed in linear time and space.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Wilfried Imrich, Iztok Peterin,