On Meet and Join Matrices Associated with Incidence Functions
نویسندگان
چکیده
5
منابع مشابه
On the positive definiteness and eigenvalues of meet and join matrices
In this paper we study the positive definiteness of meet and join matrices using a novel approach. When the set Sn is meet closed, we give a sufficient and necessary condition for the positive definiteness of the matrix (Sn)f . From this condition we obtain some sufficient conditions for positive definiteness as corollaries. We also use graph theory and show that by making some graph theoretic ...
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Abstract: Let T = {z1, z2, . . . , zn} be a finite multiset of real numbers, where z1 ≤ z2 ≤ · · · ≤ zn. The purpose of this article is to study the different properties of MIN and MAX matrices of the set T with min(zi , zj) and max(zi , zj) as their ij entries, respectively. We are going to do this by interpreting these matrices as so-called meet and join matrices and by applying some known re...
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تاریخ انتشار 2006