O Let G be a planar graph with k components. Prove that n − q + r = 1+k, where n is the order of G, q is its size, and r is the number of regions in G.
O Let G be a planar graph with k components. Prove that n − q + r = 1+k, where n is the order of G, q is its size, and r is the number of regions in G.
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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order of G, q is its size, and r is the number of regions in G."
Transcribed Image Text:O Let G be a planar graph with k components. Prove that n − q + r = 1+k, where n is the
order of G, q is its size, and r is the number of regions in G.
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