Question
Determine the maximum number of pairwise arc-disjoint paths from $s$ to $t$ in the digraphs of the networks in Exercise 24. Verify that the number is maximum by exhibiting an st-separating set with the same number of ares (cf. Theorem $13.2 .4)$
Step 1
First, let's recall Exercise 24. It consists of two networks: Network 1: ``` s -> a -> b -> t s -> c -> d -> t ``` Network 2: ``` s -> a -> b -> c -> t s -> d -> e -> f -> t ``` Show more…
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Key Concepts
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In a graph, the maximum number of paths from $s$ to $t$ with no common edges equals the minimum number of edges whose removal disconnects $s$ from $t$. Relate this to the max flow-min cut theorem.
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