Mathematical Sciences: Isomorphism Problems for Combina-    torial Objects
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This project concerns the isomorphism problem for                          combinatorial objects.  This is the problem of determining the                  complexity of deciding if two objects are isomorphic.  In the                   case of graphs, this problem, although not NP-complete, is                      considered NP-hard.                                                                  A combinatorial object is a finite set called the vertices,                and certain other sets associated with that finite set.                         Combinatorial objects include graphs, designs, simplicial                       complexes, directed graphs, and partially ordered sets.  An                     isomorphism between two combinatorial objects is a one-to-one                   correspondence between the two vertex sets that preserves the                   structure given by the associated sets.
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