A cut edge e of G is an cut edge of G if and only if e is contained in no cycle of G

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Proof: An Edge is a Bridge iff it Lies on No Cycles | Graph Theory

Video_93: The edge e is a loop in G if and only if e* is a cut edge in the dual graph

Theorem 2.3 An edge e of G is a cut edge iff e contains no cycle of G..

An edge e is a cut edge of G iff e is contained in no cycle of G

An edge is a cutedge of G iff e has no cycle of G | Graph theorey | cut edge | tamil explanation

Video_61: Properties of Cut Edges Part 1

Let T be a spanning tree of a cnctd graph G & let e∈G not in T. Then T+e con tains a unique cycle.

Theorem on Cut Edge