Let G be a graph and e € E(G). Let H be the graph with V(H) = V(G) and E(H) = E(G) \ {e}. Then e is a bridge of G if H has a greater number of connected components than G. = (a) Let G be the simple graph with V(G) {u, v, w, x, y, z) and E(G) {uy, vx, vz, wx, xz}. For each e € E(G), state whethere is a bridge of G. Justify your answer.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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Let G be a graph and e € E(G). Let H be the graph with V(H) = V(G) and
E(H) = E(G) \ {e}. Then e is a bridge of G if H has a greater number of connected
components than G.
=
(a) Let G be the simple graph with V(G) {u, v, w, x, y, z) and E(G)
{uy, vx, vz, wx, xz}. For each e € E(G), state whethere is a bridge of G.
Justify your answer.
Transcribed Image Text:Let G be a graph and e € E(G). Let H be the graph with V(H) = V(G) and E(H) = E(G) \ {e}. Then e is a bridge of G if H has a greater number of connected components than G. = (a) Let G be the simple graph with V(G) {u, v, w, x, y, z) and E(G) {uy, vx, vz, wx, xz}. For each e € E(G), state whethere is a bridge of G. Justify your answer.
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