We consider the problem of finding the minimum capacity cut in a directed network \(G\) with \(n\) nodes. This problem has applications to network reliability and survivability and is useful in subroutines for other network optimization problems. One can use a maximum flow problem to find a minimum
On finding the strongly connected components in a directed graph
โ Scribed by Esko Nuutila; Eljas Soisalon-Soininen
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 499 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0020-0190
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๐ SIMILAR VOLUMES
We prove that every minimally strongly h-connected digraph can be decomposed into h + 1 acircuitic subgraphs. This result generalizes the following theorem of Mader. Every minimally h-connected graph is h + 1 colourable,
## Abstract We prove that every connected graph __G__ contains a tree __T__ of maximum degree at most __k__ that either spans __G__ or has order at least __k__ฮด(__G__) + 1, where ฮด(__G__) is the minimum degree of __G.__ This generalizes and unifies earlier results of Bermond [1] and Win [7]. We als
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