It is shown that the lattice of noncrossing (set) partitions is self-dual and that it admits a symmetric chain decomposition and several identities involving Catalan numbers emerge from the construction of the symmetricChain decomposition.Expand

This dissertation aims to provide a history of Hungarian literature and its critics from 1989 to 2002, a period chosen in order to explore its roots as well as specific cases up to and including the year in which its author, Tamás Erdélyi, died.Expand

Abstract A Richman game is a combinatorial game in which, rather than alternating moves, the two players bid for the privilege of making the next move. The theory of such games is a hybrid between… Expand

This work shows that the decision problem of determining whether a position in this game of edge geography is a win for the first player is PSPACE-complete, and provides a linear algebraic characterization of the P- and N-positions.Expand

It is proved that quadratic fractional isomorphicism is the same as isomorphism and semi-isomorphism is related to is morphism of bipartite graphs.Expand

This article calculates the fractional chromatic number of Gn and shows that this sequence of numbers satisfies the unexpected recurrence an+1 = an + (1/an).Expand

A Richman game is a combinatorial game in which, rather than alternating moves, the two players bid for the privilege of making the next move. We find optimal strategies for both the case where a… Expand

The theory of these sequential compounds is explored and the outcomes and Grundy values of certain games of this form of combinatorial games are determined.Expand