Consider the following graph. We are finding the lengths of the shortest paths from vertex a to all vertices by the Relaxation algorithm from the lecture: At the beginning, every vertex v is set as unmarked and h(v) = +∞. Then a is set as open and h(a) = 0. How many ways there are to select five (at that moment) open vertices so that after their relaxation (and closing) the value of h(v) will represent the shortest path length from a to every v in the graph? Specify the number of ways and one such way separated by commas and spaces, for example 25, b, а, с, а, d. 2 d 1 -4

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Consider the following graph. We are finding the lengths of the shortest paths from vertex a to all
vertices by the Relaxation algorithm from the lecture:
At the beginning, every vertex v is set as unmarked and h(v) = +∞.
Then a is set as open and h(a) = 0.
How many ways there are to select five (at that moment) open vertices so that after their relaxation
(and closing) the value of h(v) will represent the shortest path length from a to every v in the graph?
Specify the number of ways and one such way separated by commas and spaces, for example
25, b, а, с, а, d.
d
3
1
a
1
-4
-4
Transcribed Image Text:Consider the following graph. We are finding the lengths of the shortest paths from vertex a to all vertices by the Relaxation algorithm from the lecture: At the beginning, every vertex v is set as unmarked and h(v) = +∞. Then a is set as open and h(a) = 0. How many ways there are to select five (at that moment) open vertices so that after their relaxation (and closing) the value of h(v) will represent the shortest path length from a to every v in the graph? Specify the number of ways and one such way separated by commas and spaces, for example 25, b, а, с, а, d. d 3 1 a 1 -4 -4
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