1993
DOI: 10.1016/0166-218x(93)90045-p
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Directed hypergraphs and applications

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Cited by 549 publications
(458 citation statements)
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“…A hypernetwork can be represented by a variety of different matrices (Gallo et al, 1993), the most popular of which is the incidence matrix, an n × m matrix C(H) representing the relationships between the n nodes and m hyperedges. The entries of the matrix C(H) are given by…”
Section: Hypernetwork Preliminariesmentioning
confidence: 99%
“…A hypernetwork can be represented by a variety of different matrices (Gallo et al, 1993), the most popular of which is the incidence matrix, an n × m matrix C(H) representing the relationships between the n nodes and m hyperedges. The entries of the matrix C(H) are given by…”
Section: Hypernetwork Preliminariesmentioning
confidence: 99%
“…Subfamilies of directed hypergraphs, as defined in Gallo et al (1993), can be associated with some earlier definitions, as the one presented in Ausiello et al (1985). Such subfamilies can be defined as follows:…”
Section: And Every Hyperedge Of H U Has a Corresponding Hyperarc In Hmentioning
confidence: 99%
“…A directed hypergraph (Gallo et al, 1993;Guedes, 2001) is defined as follows: In the undirected version of hypergraphs each hyperarc is considered as a set instead of a pair of sets, and is named hyperedge.…”
Section: Basic Notionsmentioning
confidence: 99%
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“…The value −1 stands for a sole source or access point of data available to the partner(s). A hyperlink with a −1 port and several positive fractional ports is a directed hyperarc of a specific kind called a backward hyperarc [7] (Fig. 5), and can be represented by a family of pointers pointing to the atom with the −1 port.…”
Section: Assigning Polarities and Capabilities To Links And Hyperlinksmentioning
confidence: 99%