a) Let Gz (v, E) be an undinected let each edge e e E have weight weight le), and suppose all eds weights connected gnaph, IvI >? are diffesent. Let T be a minimuM Spanning tnee in. G. Then, the edge of minimum weight in G must belong to T. connect anaph G=(V,E), IVI> 3, has tree, then all the edge weights b) In undirected an are sponning minimum unique different.

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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(a) Let Ge (v, E) be an undinected
let each edge e e E have weight weightle), and suppese all edge
weights
Then, the edge of minimum weight in
connected
graph, IVI >3 and
are
diffesent. Let T be a
minimum spanning tree in. G.
G must
belang
to T.
an undirected
graph
G=(V,E), IVI ン3, has
connect
are
minimum spanning
tree, then all the edge weights
unique
よ5ferent.
FOLLOWING STATEMET
PROOF THE
Oe SHOW A COUNTEREXAMPLE
Transcribed Image Text:(a) Let Ge (v, E) be an undinected let each edge e e E have weight weightle), and suppese all edge weights Then, the edge of minimum weight in connected graph, IVI >3 and are diffesent. Let T be a minimum spanning tree in. G. G must belang to T. an undirected graph G=(V,E), IVI ン3, has connect are minimum spanning tree, then all the edge weights unique よ5ferent. FOLLOWING STATEMET PROOF THE Oe SHOW A COUNTEREXAMPLE
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