Algorithm 7.3 Dijkstra’s Algorithm 1: Input : G = (V, E, w)  connected, weighted graph G and a source vertex s 2: Output : d[n] and p[n]  distances and parents of vertices in shortest path tree 3: for all v ∈ V \ {s} do  initialize all vertices except source s 4: d[v]←∞ 5: p[v]←−1 6: end for 7: d[s] = 0; p[s] = s  initialize source 8: S ← V 9: while S = Ø do 10: find u ∈ S with minimum distance value 11: for all (u, v) ∈ E do  update neighbor distances to v 12: if d[v] > d[u] + w(u, v) then 13: d[v] ← d[v] > d[u] + w(u, v)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Algorithm 7.3 Dijkstra’s Algorithm
1: Input : G = (V, E, w)  connected, weighted graph G and a source vertex s
2: Output : d[n] and p[n]  distances and parents of vertices in shortest path tree
3: for all v ∈ V \ {s} do  initialize all vertices except source s
4: d[v]←∞
5: p[v]←−1
6: end for
7: d[s] = 0; p[s] = s  initialize source
8: S ← V
9: while S = Ø do
10: find u ∈ S with minimum distance value
11: for all (u, v) ∈ E do  update neighbor distances to v
12: if d[v] > d[u] + w(u, v) then
13: d[v] ← d[v] > d[u] + w(u, v)
14: p[v] ← u  update parent
15: end if
16: end for
17: S ← S \ {u}  remove u from searched
18: end while

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