The Island of Sodor is home to a large number of towns and villages, connected by an extensive rail network. Recently, several cases of a deadly contagious disease (either swine flu or zombies; reports are unclear) have been reported in the village of Skarloey. The controller of the Sodor railway plans to close down certain railway stations to prevent the disease from spreading to Tidmouth, his home town. No trains can pass through a closed station. To minimize expense (and public notice), he wants to close down as few stations as possible. However, he cannot close the Skarloey station, because that would expose him to the disease, and he cannot close the Tidmouth station, because then he couldn't visit his favorite pub. Describe and analyze an algorithm to find the minimum number of stations that must be closed to block all rail travel from Skarloey to Tidmouth. The Sodor rail network is represented by an undirected graph, with a vertex for each station and an edge for each rail connection between two stations. Two special vertices s and t represent the stations in Skarloey and Tidmouth. For example, given the following input graph, your algorithm should return the integer 2.
The Island of Sodor is home to a large number of towns and villages, connected by an extensive rail network. Recently, several cases of a deadly contagious disease (either swine flu or zombies; reports are unclear) have been reported in the village of Skarloey. The controller of the Sodor railway plans to close down certain railway stations to prevent the disease from spreading to Tidmouth, his home town. No trains can pass through a closed station. To minimize expense (and public notice), he wants to close down as few stations as possible. However, he cannot close the Skarloey station, because that would expose him to the disease, and he cannot close the Tidmouth station, because then he couldn't visit his favorite pub. Describe and analyze an algorithm to find the minimum number of stations that must be closed to block all rail travel from Skarloey to Tidmouth. The Sodor rail network is represented by an undirected graph, with a vertex for each station and an edge for each rail connection between two stations. Two special vertices s and t represent the stations in Skarloey and Tidmouth. For example, given the following input graph, your algorithm should return the integer 2.
Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
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Transcribed Image Text:The Island of Sodor is home to a large number of towns and villages,
connected by an extensive rail network. Recently, several cases of a deadly
contagious disease (either swine flu or zombies; reports are unclear) have
been reported in the village of Skarloey. The controller of the Sodor railway
plans to close down certain railway stations to prevent the disease from
spreading to Tidmouth, his home town. No trains can pass through a closed
station. To minimize expense (and public notice), he wants to close down
as few stations as possible. However, he cannot close the Skarloey station,
because that would expose him to the disease, and he cannot close the
Tidmouth station, because then he couldn't visit his favorite pub.
Describe and analyze an algorithm to find the minimum number of
stations that must be closed to block all rail travel from Skarloey to Tidmouth.
The Sodor rail network is represented by an undirected graph, with a vertex
for each station and an edge for each rail connection between two stations.
Two special vertices s and t represent the stations in Skarloey and Tidmouth.
For example, given the following input graph, your algorithm should
return the integer 2.
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