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Question 53 Given a directed graph w/ nonnegative edge lengths & two distinct nodes, a and z. Let X denote a shortest path From a to z. If we add 10 to the length of every edge in the graph, then: )X definitely remains a shortest a-z path. i) X definitely does not remain a shortest a-z path. ii) X might or might not remain a shortest a-z path (depending on the graph).

Question 53 Given a directed graph w/ nonnegative edge lengths & two distinct nodes, a and z. Let X denote a shortest path From a to z. If we add 10 to the length of every edge in the graph, then: )X definitely remains a shortest a-z path. i) X definitely does not remain a shortest a-z path. ii) X might or might not remain a shortest a-z path (depending on the graph).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 53 Given a directed graph w/ nonnegative edge lengths & two distinct nodes, a and z. Let X denote a shortest path from a to z. If we add 10 to the length of every edge in the graph, then: DX definitely remains a shortest a-z path. ii) X definitely does not remain a shortest a-z path. lii)X might or might not remain a shortest a-z path (depending on the graph). iv) If X has only one edge, then X definitely remains a shortest a-z path. O i only O i only O None of the choices O i and iv only O i only O i and iv only O iv only
Transcribed Image Text:Question 53 Given a directed graph w/ nonnegative edge lengths & two distinct nodes, a and z. Let X denote a shortest path from a to z. If we add 10 to the length of every edge in the graph, then: DX definitely remains a shortest a-z path. ii) X definitely does not remain a shortest a-z path. lii)X might or might not remain a shortest a-z path (depending on the graph). iv) If X has only one edge, then X definitely remains a shortest a-z path. O i only O i only O None of the choices O i and iv only O i only O i and iv only O iv only
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