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A Characterization of Soft Hypergraphs

Published online by Cambridge University Press:  20 November 2018

Peter J. Slater*
Affiliation:
Applied Mathematics Division 5121, Sandia Laboratories, Albuquerque, New Mexico 87115
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A hypergraph is a subtree of a tree (SOFT) hypergraph if there exists a tree T such that X=V(T) and for each there is a subtree Ti of T such that Ei = V(Ti). It is shown that H is a SOFT hypergraph if and only if has the Helly property and , the intersection graph of is chordal. Results of Berge and Gavril have previously shown these to be necessary conditions.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1978

References

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