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Ch4 圖論演算法
第 98 題/共 111 題
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98. Single-Source Shortest Path、Dijkstra's Algorithm
#AL-04-098
中
Single-Source Shortest Path
Dijkstra's Algorithm
📝
☆
Which of the following statements about Single-Source Shortest Paths problem are incorrect?
A
If a graph
G
G
G
contains a negative-weight cycle, then all shortest paths do not exist.
B
A subpath of a shortest path is a shortest path.
C
Dijkstra's algorithm finds single-source shortest paths in graphs with nonnegative-weight cycle.
D
If binary heap is used, the worst-case time complexity of Dijkstra's algorithm is
O
(
E
+
V
log
V
)
O(E + V\log V)
O
(
E
+
V
lo
g
V
)
, where
E
E
E
represents the number of edges and
V
V
V
the number of vertices.
E
If the weight of all edges is the same, there is a faster algorithm than Dijkstra's algorithm to compute single-source shortest paths.
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