Solve 6c 6) XLet G be a connected graph with n(G) > 2. Show that G at least 2 vertices whichare not cut-vertices of G.For the following graph G find the following:K(G)k' (G)a separating set S such that |S| = K(G)i)ii)c)Prove that if a plane graph G has n vertices, e edges, f faces and k components,then n- e+f =k+1.

We can prove Euler's formula (n-e+ f = k+1) works generally for anyconnected simple planar graph.so,

Answered: c) Prove that if a plane graph G has n…

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c) Prove that if a plane graph G has n vertices, e edges, f faces and k components then n- e+f =k+1.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 10E

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Solve 6c

6) X
Let G be a connected graph with n(G) > 2. Show that G at least 2 vertices which
are not cut-vertices of G.
For the following graph G find the following:
K(G)k' (G)
a separating set S such that |S| = K(G)
i)
ii)
c)
Prove that if a plane graph G has n vertices, e edges, f faces and k components,
then n- e+f =k+1.

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