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Let G = (V,E) be an undirected graph with vertices V and edges E. Let w(e) denote the weight of e E E. Let TC E be a spanning tree of G. Select all of the following that imply that T is not a minimum spanning tree (MST) for G. Incorrect choices will be penalized. O There exists e' = (u, v) £ T, u, v E V such that w(e') < w(e) for some e on the shortest path from u to v in T. O There exists e E T, e' ¢ T with w(e) > w(e'). O There exists e' ¢T such that w(e') < w(e) for all e E T. O There exists e' ET such that w(e') > w(e) for all e e E. O There exists e' = (u, v) £ T, u, v E V such that w(e') < w(e) for all e on the shortest path from u to v in T. O There exists e E T, e' ¢ T with w(e) < w(e').

Let G = (V,E) be an undirected graph with vertices V and edges E. Let w(e) denote the weight of e E E. Let TC E be a spanning tree of G. Select all of the following that imply that T is not a minimum spanning tree (MST) for G. Incorrect choices will be penalized. O There exists e' = (u, v) £ T, u, v E V such that w(e') < w(e) for some e on the shortest path from u to v in T. O There exists e E T, e' ¢ T with w(e) > w(e'). O There exists e' ¢T such that w(e') < w(e) for all e E T. O There exists e' ET such that w(e') > w(e) for all e e E. O There exists e' = (u, v) £ T, u, v E V such that w(e') < w(e) for all e on the shortest path from u to v in T. O There exists e E T, e' ¢ T with w(e) < w(e').

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Let G = (V, E) be an undirected graph with vertices V and edges E. Let w(e) denote the weight of e E E. Let T C E be a spanning tree of G. Select all of the following that imply that T is not a minimum spanning tree (MST) for G. Incorrect choices will be penalized. There exists e' (u, v) g T, u, v E V such that w(e') < w(e) for some e on the shortest path from u to v in T. O There exists e E T, e' ¢ T with w(e) > w(e'). O There exists e' g T such that w(e') < w(e) for all e e T. O There exists e' ET such that w(e') > w(e) for all e E E. O There exists e' (u, v) É T, u, v E V such that w(e') < w(e) for all e on the shortest path from u to v in T. O There exists e E T, e' ¢ T with w(e) < w(e').
Transcribed Image Text:Let G = (V, E) be an undirected graph with vertices V and edges E. Let w(e) denote the weight of e E E. Let T C E be a spanning tree of G. Select all of the following that imply that T is not a minimum spanning tree (MST) for G. Incorrect choices will be penalized. There exists e' (u, v) g T, u, v E V such that w(e') < w(e) for some e on the shortest path from u to v in T. O There exists e E T, e' ¢ T with w(e) > w(e'). O There exists e' g T such that w(e') < w(e) for all e e T. O There exists e' ET such that w(e') > w(e) for all e E E. O There exists e' (u, v) É T, u, v E V such that w(e') < w(e) for all e on the shortest path from u to v in T. O There exists e E T, e' ¢ T with w(e) < w(e').
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