###### Data-Structures

October 10, 2023###### Software-Engineering

October 10, 2023# Data-Structures

Question 54 |

Let G = (V,E) be a directed, weighted graph with weight function w:E → R. For some function f:V → R, for each edge (u,v) ∈ E, define w'(u,v) as w(u,v) + f(u) – f(v).

Which one of the options completes the following sentence so that it is TRUE?

“The shortest paths in G under w are shortest paths under w’ too, _______”.

if and only if f(u) is the distance from s to u in the graph obtained by adding a new vertex s to G and edges of zero weight from s to every vertex of G | |

if and only if ∀u ∈ V, f(u) is positive
| |

if and only if ∀u ∈ V, f(u) is negative | |

for every f: V→R |

Question 54 Explanation:

Correct Answer: D

Question 54 Explanation:

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