Mathematics 2 Deneme Sınavı Sorusu #487071

Plane diagram of a connected planar graph has 5 vertices and 4 regions. What is the number of edges of the graph?


5

6

7

8

9


Yanıt Açıklaması:

We know by Euler’s theorem on planar graphs that the number of edges is equal to m = f + (n -2). Hence, the number of edges is 5+ (4 – 2) = 7. Answer is C.

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