A connected planar graph having 6 vertices, 7 edges contains -------------regions.1537
Question
A connected planar graph having 6 vertices, 7 edges contains -------------regions.1537
Solution
The number of regions in a connected planar graph can be calculated using Euler's formula, which states that:
V - E + F = 2
where V is the number of vertices, E is the number of edges, and F is the number of faces (regions).
In this case, V = 6 (vertices) and E = 7 (edges). We can substitute these values into the formula to find F:
6 - 7 + F = 2
Solving for F, we get F = 2 - 6 + 7 = 3
So, a connected planar graph having 6 vertices and 7 edges contains 3 regions.
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