Question

Let G be a simple connected graph and e any edge in G. Prove that G - e (i.e. G with edge e removed) is connected if and only if e is in a cycle of G.

Name: let g be a simple connected graph and e any edge in g prove that g e ie g with edge e removed is connected if and only if e is in a cycle of g
Uploaded: 2022-03-24T05:12:30-08:00
Duration: 4 min 11 s
Channel: Chandra Jain
Description: let g be a simple connected graph and e any edge in g prove that g e ie g with edge e removed is connected if and only if e is in a cycle of g

          Let G be a simple connected graph and e any edge in G. Prove that G - e (i.e. G with edge e removed) is connected if and only if e is in a cycle of G.

Added by Manoj K.

Discrete Mathematics and its Applications

Kenneth Rosen 8th Edition

Chapter 10

Instant Answer

Solved by Expert Chandra Jain

03/24/2022

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Let G be a simple connected graph and e any edge in G. Prove that G - e (i.e. G with edge e removed) is connected if and only if e is in a cycle of G.