Timeline for Graphs without maximal vertex-transivite subgraphs
Current License: CC BY-SA 4.0
6 events
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May 8, 2018 at 17:40 | comment | added | Dominic van der Zypen | Thanks for your comments! - I understood right away what you meant by "indiscrete" and I often wonder whether there is some kind of functor (or weaker connection) between the category of topological spaces and the category of simple, undirected graphs, such that indiscrete spaces correspond exactly to edgeless graphs (and discrete spaces to complete graphs). | |
May 8, 2018 at 17:16 | comment | added | Joel David Hamkins | I should have said "edgeless" subgraph, since I think "indiscrete" is not the right word for this. | |
May 8, 2018 at 14:46 | comment | added | Joel David Hamkins | An observation: every graph has maximal indiscrete subgraphs -- subgraphs with no induced edges -- and these are vertex transitive. But they are not necessarily maximal with respect to being vertex transitive, and so this doesn't answer the question. | |
May 8, 2018 at 14:31 | comment | added | Joel David Hamkins | Mahdi, if the whole graph is vertex transitive, then it would be maximal. | |
May 8, 2018 at 14:26 | comment | added | Mahdi - Free Palestine | You possibly assume that $S \neq V$ in the precise formulation of the problem. | |
May 8, 2018 at 14:03 | history | asked | Dominic van der Zypen | CC BY-SA 4.0 |