3 papers
cs.DM2009
A Partial Order on Bipartite Graphs with n Vertices
Emil Daniel Schwab
The paper examines a partial order on bipartite graphs (X1, X2, E) with n vertices, X1UX2={1,2,...,n}. This partial order is a natural partial order of subobjects of an object in a…
math.RA2009
On the Combinatorial Inverse Monoid IO3
Emil Daniel Schwab, Romero Efren
In this paper we have compute the Mobius category and the Mobius function of the combinatorial inverse monoid IO3 of all order preserving partial bijections on the set M3={1,2,3}.…
cs.DM2009
On the Category of Partial Bijections
Emil Schwab
Categories of partial functions have become increasingly important principally because of their applications in theoretical computer science. In this note we prove that the categor…