AbstractIn the present paper we investigate properties of a general notion of independence and we use some of the results obtained to solve certain problems in combinatorial analysis concerned with the existence of systems of representatives
AbstractWe consider a class of matroids which we call ordered matroids. We show that these are the m...
We present a framework for studying the concept of independence in a general context covering databa...
AbstractWe present an elementary proof of a transfinite symmetric form of Philip Hall's theorem on s...
AbstractIn the present paper we investigate properties of a general notion of independence and we us...
AbstractA sufficient condition for the existence of a system of distinct representatives for a famil...
It is shown that an independence structure can be defined in a natural way on the set of uniform sub...
AbstractBy generalizing matroid axiomatics we provide a framework in which independence systems may ...
Independence relations in general include exponentially many statements of independence, that is, ex...
AbstractA family of hypergraphs is exhibited which have the property that the minimum cardinality of...
AbstractA theorem of Hartmanis and Eopcroft is extended to obtain further independence results relat...
This dissertation introduces a generalization of the cardinal invariant independence for Boolean alg...
AbstractA submodular (and non-decreasing) function on a set induces an independence structure; the n...
AbstractThis paper examines statistical independence in finite sets. By considering the structure of...
A system of distinct representatives (SDR) of a family F = (A1, . . . , An) is a sequence (a1, . . ....
AbstractSuppose we are given a family of sets C = {S(j), j∈J}, where S(j) = ∩ki=1 Hi(j), and suppose...
AbstractWe consider a class of matroids which we call ordered matroids. We show that these are the m...
We present a framework for studying the concept of independence in a general context covering databa...
AbstractWe present an elementary proof of a transfinite symmetric form of Philip Hall's theorem on s...
AbstractIn the present paper we investigate properties of a general notion of independence and we us...
AbstractA sufficient condition for the existence of a system of distinct representatives for a famil...
It is shown that an independence structure can be defined in a natural way on the set of uniform sub...
AbstractBy generalizing matroid axiomatics we provide a framework in which independence systems may ...
Independence relations in general include exponentially many statements of independence, that is, ex...
AbstractA family of hypergraphs is exhibited which have the property that the minimum cardinality of...
AbstractA theorem of Hartmanis and Eopcroft is extended to obtain further independence results relat...
This dissertation introduces a generalization of the cardinal invariant independence for Boolean alg...
AbstractA submodular (and non-decreasing) function on a set induces an independence structure; the n...
AbstractThis paper examines statistical independence in finite sets. By considering the structure of...
A system of distinct representatives (SDR) of a family F = (A1, . . . , An) is a sequence (a1, . . ....
AbstractSuppose we are given a family of sets C = {S(j), j∈J}, where S(j) = ∩ki=1 Hi(j), and suppose...
AbstractWe consider a class of matroids which we call ordered matroids. We show that these are the m...
We present a framework for studying the concept of independence in a general context covering databa...
AbstractWe present an elementary proof of a transfinite symmetric form of Philip Hall's theorem on s...