期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2005
卷号：2005
DOI：10.1155/IJMMS.2005.3419
出版社：Hindawi Publishing Corporation
摘要：In 1986, Johnson and Perry proved a class of inequalities for
uniform hypergraphs which included the following: for any such
hypergraph, the geometric mean over the hyperedges of the
geometric means of the degrees of the nodes on the hyperedge is
no less than the average degree in the hypergraph, with equality
only if the hypergraph is regular. Here, we prove a wider class of
inequalities in a wider context, that of edge-weighted uniform
hypergraphs.
