🗊Презентация Bridges and Cut Vertices

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Слайд 1





Bridges and Cut Vertices
Lyzhin Ivan, 2016
Описание слайда:
Bridges and Cut Vertices Lyzhin Ivan, 2016

Слайд 2





Definitions
Bridge – an edge of a graph whose deletion increases the number of connected components. 
Cut vertex – a vertex whose deletion increases the number of connected components.
Описание слайда:
Definitions Bridge – an edge of a graph whose deletion increases the number of connected components. Cut vertex – a vertex whose deletion increases the number of connected components.

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Example - Bridges
Описание слайда:
Example - Bridges

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Example – Cut Vertices
Описание слайда:
Example – Cut Vertices

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Definitions for Depth-First-Search in undirected graph
Tree edge – 
edge to unvisited vertex.
Back edge – 
edge to visited vertex.
Parent edge – 
edge to parent vertex.
Описание слайда:
Definitions for Depth-First-Search in undirected graph Tree edge – edge to unvisited vertex. Back edge – edge to visited vertex. Parent edge – edge to parent vertex.

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Algorithm - Bridges
Start DFS from unvisited vertex.
 – entry time for vertex.
If , then  is bridge.
Описание слайда:
Algorithm - Bridges Start DFS from unvisited vertex. – entry time for vertex. If , then is bridge.

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Implementation - Bridges
Описание слайда:
Implementation - Bridges

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Algorithm – Cut Vertices
Start DFS from unvisited vertex.
 – entry time for vertex.
If  and , then  is cut vertex.
If  and , then  is cut vertex.
Описание слайда:
Algorithm – Cut Vertices Start DFS from unvisited vertex. – entry time for vertex. If and , then is cut vertex. If and , then is cut vertex.

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Implementation – Cut Vertices
Описание слайда:
Implementation – Cut Vertices

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Additional links and home task
Bridge searching
http://e-maxx.ru/algo/bridge_searching
Cut vertex searching
http://e-maxx.ru/algo/cutpoints
Tasks
http://codeforces.com/group/Hq4vrJcA4s/contest/100703/problem/E
Описание слайда:
Additional links and home task Bridge searching http://e-maxx.ru/algo/bridge_searching Cut vertex searching http://e-maxx.ru/algo/cutpoints Tasks http://codeforces.com/group/Hq4vrJcA4s/contest/100703/problem/E



Теги Bridges and Cut Vertices
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