1 votes 1 votes If a planner graph, having $25$ vertices divides the plane into $17$ different regions. Then how many edges are used to connect the vertices in this graph. $20$ $30$ $40$ $50$ Graph Theory nielit2017dec-assistanta discrete-mathematics graph-theory graph-planarity + – admin asked Mar 31, 2020 • retagged Oct 23, 2020 by Krithiga2101 admin 2.2k views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 4 votes 4 votes We use Euler's formula for planar graphs : $v-e+f=2$ where, $v\;-$ no. of vertices, $e\;-$ no.of edges and $f\;-$ no. of faces. (Refer: Euler's Formula) So, $25-e+17=2$ $\Rightarrow$ $e=40$ Option C is correct. haralk10 answered Apr 1, 2020 • selected Apr 1, 2020 by Arjun haralk10 comment Share Follow See all 0 reply Please log in or register to add a comment.