Now consider the network (G, w) such that V(G) = {V₁, V2, U3, U4, V5, V6, U7}, E(G) = (v1v2, U1U3, U2U3, U2V4, V2V5, V3V5, V3V6, V4V5, V5V6} and w(v₁v₂) = 1, w(v₂v4) = 2, w(v3v6) = 1, w(v₁v3) = 4, w (v₂v5) = 3, w(v₁v5) = 1, w(v₂V3) = 4 w(v3v5) = 4 w(v5v6) = 3. the spanning tree of (G₁w) is V₂ V6 V5 J 1 2 V4 Show that the spanning tree unique minimum spanning tree of the network (G, w). V is the

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Now consider the network (G, w) such that V(G) = {V₁, V2, U3, U4, V5, V6, U7},
E(G) = {V1V2, V1V3, V2V3, V2V4, V2V5, V3V5, V3V6, V4V5, V5V6} and
w(v₁v₂) = 1,
w(v₂v₁) = 2,
w(v3v6) = 1,
w (v₁v3) = 4,
w(v₂v5) = 3,
w(v4v5) = 1,
w(v₂V3) = 4
w(v3v5) = 4
w(v5v6) = 3.
the spanning three of (GW) is
V₂
V6
V5
J
1
2
V4
Show that the spanning tree
unique minimum spanning tree of the network (G, w).
V/₂
is the
Transcribed Image Text:Now consider the network (G, w) such that V(G) = {V₁, V2, U3, U4, V5, V6, U7}, E(G) = {V1V2, V1V3, V2V3, V2V4, V2V5, V3V5, V3V6, V4V5, V5V6} and w(v₁v₂) = 1, w(v₂v₁) = 2, w(v3v6) = 1, w (v₁v3) = 4, w(v₂v5) = 3, w(v4v5) = 1, w(v₂V3) = 4 w(v3v5) = 4 w(v5v6) = 3. the spanning three of (GW) is V₂ V6 V5 J 1 2 V4 Show that the spanning tree unique minimum spanning tree of the network (G, w). V/₂ is the
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