Infinitely representable functions are introduced, and it is proved that the expansion $\IR\sb{\cal G}$ of the field of reals by a certain subfamily of all infinitely representable functions (namely, the family of so-called ...

This paper deals with finite groups, and has two parts. In part I J. L. Brenner and James Wielgold (I,3) defined a finite nonabelian group G as lying in $\Gamma\sb1\sp{(2)}$ (spread one-two) if for every 1 $\not=$ x $\in$ ...

The Friendship Theorem states that if G is a graph in which every two vertices have exactly one common neighbor, then G has a dominating vertex. Sos defined an analogous friendship property for 3-uniform hypergraphs, and ...

A folded symplectic form on an even-dimensional manifold is a closed two-form that degenerates in a suitably controlled way along a smooth hypersurface. When a torus having half the dimension of the manifold acts in a way ...

We study problems in extremal combinatorics with respect to forbidden induced subgraphs, forbidden colored subgraphs, and forbidden subgraphs. In Chapter 2, we determine exactly which graphs H have the property that ...