2. 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 whether e is a bridge of G. Justify your answer. = =

2. 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 whether e is a bridge of G. Justify your answer. = =

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.4: Analytic Proofs

Problem 30E: Based on the result in Exercise 26, describe the graph of the equation x2+y2=49

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