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A connected planar graph having 6 vertices, 7 edges contains _____________ regions.

(a) 15

(b) 3

(c) 1

(d) 11

My question comes from Graph topic in portion Graph of Data Structures & Algorithms I

The question was posed to me in exam.

1 Answer

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Best answer
Correct option is (b) 3

The explanation is: By euler’s formula the relation between vertices(n), edges(q) and  regions(r) is given by n-q+r=2.

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