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A note on k-strongly connected orientations of an undirected graph

✍ Scribed by András Frank


Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
168 KB
Volume
39
Category
Article
ISSN
0012-365X

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✦ Synopsis


Each k-strongly connected orientation of an undirect:7d I.&P A _an be obtained from any other k-strongly connected orientation by reversing consec aLir :!I 3irected paths or circuits without destroying the k-strong connectivity.


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On k-leaf connectivity of a random graph
✍ Thomasz Luczak 📂 Article 📅 1988 🏛 John Wiley and Sons 🌐 English ⚖ 367 KB

We prove that, in a random graph with n vertices and N = cn log n edges, the subgraph generated by a set of all vertices of degree at least k + 1 is k-leaf connected for c > f . A threshold function for k-leaf connectivity is also found. ## 1. MAIN RESULTS Let G = (V(G),E(G)) be a graph, where V (