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On r-graphs and r-multihypergraphs with given maximum degree

Part of: Graph theory Designs and configurations

Published online by Cambridge University Press:  09 April 2009

Zoltán Füredi
Zoltán Füredi
Affiliation:
Mathematical InstituteHungarian Academy of Sciences 1364 Budapest POB 127, Hungary
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Abstract

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It is well-known that if G is a multigraph (that is, a graph with multiple edges), the maximum number of pairwise disjoint edges in G is ν(G) and its maximum degree is D(G), then |E(G)| ≤ ν [3D/2’. We extend this theorem for r-graphs (that is, families of r-element sets) and for r-multihypergraphs (that is, r-graphs with repeated edges). Several problems remain open.

MSC classification

Secondary: 05C65: Hypergraphs 05B40: Packing and covering
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 50 , Issue 2 , April 1991 , pp. 204 - 212
Copyright
Copyright © Australian Mathematical Society 1991

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