Stability of cartesian products
Copyright policy )Stability of cartesian products
AbstractWe complete the work started by Holton and Grant concerning the semi-stability of non-trivial connected cartesian products and show that all such products are semi-stable. Further we show that except for certain (listed) restricted graphs, connected cartesian products are semi-stable at every vertex. Finally, we show that the cartesian product of any two graphs is not semi-stable if and only if one of them is totally disconnected and the other is not semi-stable.
- University of Melbourne Australia
- University of Aberdeen United Kingdom
- University of Melbourne
- University of Melbourne
semi-stable, automorphism group, Cartesian Products, Graphs and abstract algebra (groups, rings, fields, etc.), Theoretical Computer Science, Graph theory, Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, connected cartesian products, Stability, Graphs
semi-stable, automorphism group, Cartesian Products, Graphs and abstract algebra (groups, rings, fields, etc.), Theoretical Computer Science, Graph theory, Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, connected cartesian products, Stability, Graphs
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