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On hypergraphs without two edges intersecting in a given number of vertices

✍ Scribed by P Frankl; Z Füredi


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
281 KB
Volume
36
Category
Article
ISSN
0097-3165

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Let G be a minimally k-edge-connected simple graph and u\*(G) be the number of vertices of degree k in G. proved that (i) uk(G) 2 l(jGl -1)/(2k + l)] + k + 1 for even k, and (ii) uI(G) 2 [lGl/(k + l)] + k for odd k 35 and u,(G) 2 lZlGl/(k + l)] + k -2 for odd k 27, where ICI denotes the number of v