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Dijkstra's Shortest Path Algorithm
Find shortest path from s to t.
s
3
t
2
6
7
4
5
24
18
2
9
14
15
5
30
20
44
16
11
6
19
6
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Dijkstra's Shortest Path Algorithm-Data Representation And Algorithm Design-Lecture Slides, Slides of Data Representation and Algorithm Design
This lecture was delivered by Dr. Ameet Shashank at B R Ambedkar National Institute of Technology. Its relate to Data Representation and Algorithm Design course. Its main points are: Dijkstra, Shortest, Path, Algorithm, Delmin, Distance, Label, Set
Typology: Slides
2011/2012
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Find shortest path from s to t.
s
t
24 18 2 9 14 15 5 30 20 44 16 11 6 19 6 docsity.com
s
t
24 18 2 9 14 15 5 30 20 44 16 11 6 19 6
distance label
S = { }
PQ = { s, 2, 3, 4, 5, 6, 7, t }
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s
t
24 18 2 9 14 15 5 30 20 44 16 11 6 19 6 15
distance label
S = { s }
PQ = { 2, 3, 4, 5, 6, 7, t }
decrease key
X
X
X
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s
t
24 18 2 9 14 15 5 30 20 44 16 11 6 19 6 15
distance label
S = { s }
PQ = { 2, 3, 4, 5, 6, 7, t }
X
X
X
delmin docsity.com
s
t
24 18 2 9 14 15 5 30 20 44 16 11 6 19 6 15
S = { s, 2 }
PQ = { 3, 4, 5, 6, 7, t }
X
X
X
decrease key X 33 docsity.com
s
t
24 18 2 9 14 15 5 30 20 44 16 11 6 19 6 15
S = { s, 2 }
PQ = { 3, 4, 5, 6, 7, t }
X
X
X
X 33
delmin docsity.com
s
t
24 18 2 9 14 15 5 30 20 44 16 11 6 19 6 15
S = { s, 2, 6 }
PQ = { 3, 4, 5, 7, t }
X
X
X
X
delmin
X 33 X
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s
t
18 2 9 14 15 5 30 20 44 16 11 6 19 6 15
S = { s, 2, 6, 7 }
PQ = { 3, 4, 5, t }
X
X
X
X
X^35
59 X
24
X 33 X
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s
t
24 18 2 9 14 15 5 30 20 44 16 11 6 19 6 15
S = { s, 2, 3, 6, 7 }
PQ = { 4, 5, t }
X
X
X
X
X^35
51 59 X X
X 34
X 33 X
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s
t
18 2 9 14 15 5 30 20 44 16 11 6 19 6 15
S = { s, 2, 3, 6, 7 }
PQ = { 4, 5, t }
X
X
X
X
X^35
51 59 X X
X 34
delmin
X 33 X
24 docsity.com
s
t
18 2 9 14 15 5 30 20 44 16 11 6 19 6 15
S = { s, 2, 3, 5, 6, 7 }
PQ = { 4, t }
X
X
X
X
X^35
51 59 X X
X 34
24 50 X
45 X
delmin
X 33 X
docsity.com
s
t
18 2 9 14 15 5 30 20 44 16 11 6 19 6 15
S = { s, 2, 3, 4, 5, 6, 7 }
PQ = { t }
X
X
X
X
X^35
51 59 X X
X 34
24 50 X
45 X
X 33 X
docsity.com
s
t
24 18 2 9 14 15 5 30 20 44 16 11 6 19 6 15
S = { s, 2, 3, 4, 5, 6, 7, t }
PQ = { }
X
X
X
X
X^35
51 59 X X
X 34
50 X
45 X
X 33 X
docsity.com
s
t
24 18 2 9 14 15 5 30 20 44 16 11 6 19 6 15
S = { s, 2, 3, 4, 5, 6, 7, t }
PQ = { }
X
X
X
X
X^35
51 59 X X
X 34
50 X
45 X
X 33 X
docsity.com