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2. Menger's theorem - Wikipedia

   en.wikipedia.org/wiki/Menger's_theorem

   The vertex-connectivity statement of Menger's theorem is as follows: . Let G be a finite undirected graph and x and y two nonadjacent vertices. Then the size of the minimum vertex cut for x and y (the minimum number of vertices, distinct from x and y, whose removal disconnects x and y) is equal to the maximum number of pairwise internally disjoint paths from x to y.

3. Connectivity (graph theory) - Wikipedia

   en.wikipedia.org/wiki/Connectivity_(graph_theory)

   The connectivity and edge-connectivity of G can then be computed as the minimum values of κ(u, v) and λ(u, v), respectively. In computational complexity theory , SL is the class of problems log-space reducible to the problem of determining whether two vertices in a graph are connected, which was proved to be equal to L by Omer Reingold in ...

4. k-edge-connected graph - Wikipedia

   en.wikipedia.org/wiki/K-edge-connected_graph

   The edge connectivity of is the maximum value k such that G is k-edge-connected. The smallest set X whose removal disconnects G is a minimum cut in G . The edge connectivity version of Menger's theorem provides an alternative and equivalent characterization, in terms of edge-disjoint paths in the graph.

5. NYT ‘Connections’ Hints and Answers Today, Wednesday, January 8

   www.aol.com/nyt-connections-hints-answers-today...

   2. Essential tools for creating music. 3. Characteristics/qualities of a large mammal. 4. These words are related to a particular genre of music (hint: they deal with "names" that are spelled a ...

6. N.Y.C. Woman, 71, Fights Off 4 Attackers Who Tried to Rob Her ...

   www.aol.com/n-y-c-woman-71-001542194.html

   An elderly New York City woman fought off four potential robbers on New Year’s Day. Linda Rosa, a retired MTA worker from East New York in Brooklyn, was on her way to a church service on ...

7. Ford, GM donate $1 million and contribute vehicles to Trump's ...

   www.aol.com/news/ford-donates-1-million-fleet...

   DETROIT (Reuters) -U.S. automakers Ford Motor and General Motors will donate $1 million each, along with vehicles, to U.S. President-elect Donald Trump's January inauguration, company ...

8. k-vertex-connected graph - Wikipedia

   en.wikipedia.org/wiki/K-vertex-connected_graph

   The vertex-connectivity of an input graph G can be computed in polynomial time in the following way [4] consider all possible pairs (,) of nonadjacent nodes to disconnect, using Menger's theorem to justify that the minimal-size separator for (,) is the number of pairwise vertex-independent paths between them, encode the input by doubling each vertex as an edge to reduce to a computation of the ...

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