3. Let G be a 2-connected graph. Prove that if G has no even cycles, then G is isomorphic to an oddcycle C2k+1 for some k > 1.

k-Connected graphs: A graph is said to be k-connected if it has more than k vertices and remains…

Answered: Let G be a 2-connected graph. Prove…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Let G be a 2-connected graph. Prove that if G has no even cycles, then G is isomorphic to an odd cycle C2k+1 for some k > 1.