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Mar 9, 2011 at 2:01 comment added j.c. Thanks! As I've been thinking recently about rigidity of graph embeddings, the overlapping terminology threw me for a loop. (Infinitesimal) rigidity in the other sense is determined by the rank of a matroid, and hence is monotone.
Mar 8, 2011 at 16:28 comment added Joel David Hamkins A mathematical structure is rigid if it has no nontrivial automorphisms. This property is not monotone on graphs, since there are rigid graphs, but neither the empty graph nor the complete graph is rigid (when there are at least two vertices).
Mar 8, 2011 at 15:47 comment added j.c. Can you clarify "the property of being rigid" a bit more?
Sep 28, 2010 at 0:48 history edited Joel David Hamkins CC BY-SA 2.5
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Sep 28, 2010 at 0:38 history edited Joel David Hamkins CC BY-SA 2.5
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Sep 28, 2010 at 0:31 history answered Joel David Hamkins CC BY-SA 2.5