Gcd-closed sets and determinants of matrices associated with arithmetical functions

By Shaofang Hong. 2002

68 citations recorded by the source corpus.

Subfields: Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/b780e6ec9a9c8b26a704ec8f93c810c6ee1a5571

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Management Science and Operations Research

1. Raphael Loewy
2. Ismo Korkee
3. Pentti Haukkanen

Citations in the corpus

• On meet and join matrices associated with incidence functions (2003, background): “Hong [19] presented a formula for det[Ψ(xi, xj)] on gcd-closed set S, where either g ∈ LS or h ∈ LS .”
• ASYMPTOTIC BEHAVIOR OF EIGENVALUES OF GREATEST COMMON DIVISOR MATRICES (2004, result): “In fact, Hong [11] showed that for any integer n ≥ 8, there exists a GCD-closed set Sn = {x1, . . . , xn} (i.e. one has (xi, xj) ∈ Sn for all 1 ≤ i, j ≤ n) such that the LCM matrix [Sn] on Sn is singular.”