First, we show that the determinant of a given matrix can be expanded by its principal minors together with a set of arbitrary parameters. The enumeration of Hamiltonian cycles and paths in a graph is ...

Bulletin mathématique de la Société des Sciences Mathématiques de Roumanie, Nouvelle Série, Vol. 51 (99), No. 3 (2008), pp. 177-182 (6 pages) For given graphs G and H, the Ramsey number R(G, H) is the ...