Summary: NOTE
AN INEQUALITY FOR KRUSKAL-MACAULAY FUNCTIONS
BERNARDO M. ÁBREGO, SILVIA FERNÁNDEZ-MERCHANT, AND BERNARDO LLANO
Abstract. Given integers k 1 and n 0, there is a unique way of writing n as n =
¡nk
k
¢
+¡nk-1
k-1
¢
+ ... +
¡n1
1
¢
so that 0 n1 < · · · < nk-1 < nk. Using this representation, the Kruskal-
Macaulay function of n is defined as mk (n) =
¡nk-1
k-1
¢
+

Source: Abrego, Bernardo - Department of Mathematics, California State University, Northridge
Fernandez, Silvia - Department of Mathematics, California State University, Northridge

Collections: Mathematics