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DM
2000
15 years 24 days ago
2000
We study the number of ways to factor a natural number n into an ordered product of integers, each factor greater than one, denoted by H(n). This counting function from number the...
DM
2000
15 years 24 days ago
2000
We characterize the finite graph algebras which are dualizable. Indeed, a finite graph algebra is dualizable if and only if each connected component of the underlying graph is eith...
DM
2000
15 years 24 days ago
2000
We consider the new problem of determining the number of partitions of a number into a fixed number k of squares, and find explicit formulae in the cases k = 2, 3, 4. Classificati...
DM
2002
15 years 24 days ago
2002
We show that the average size of subsets of [n] forming an intersecting Sperner family of cardinality not less than (n-1 k-1 ) is at least k provided that k 6 n=2
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DM
2002
15 years 24 days ago
2002
Network design models with more than one facility type have many applications in communication and distribution problems. Due to their complexity, previous studies have focused on...