Question: Let G be a connected graph and B, B0 be two bonds in G. Show that (B B0 ) e contains a bond

Let G be a connected graph and B, B0 be two bonds in G. Show that (B ∪ B0 ) − e contains a bond for any edge e of G.

(Suggested approach: Show that the symmetric difference B4B0 is an edge cut, which must be a disjoint union of bonds.)


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