![](https://gateoverflow.in/?qa=blob&qa_blobid=9243141909500924743)
This is a graph ? Is it planar or not ?
As per definition of planar graph it can be drawn in such a way that no edges cross each other.
other theorems are
if a connected simple graph is planar→ e<=3n-6
if a connected simple graph is planar → 2e>=3r
(e is edges , n is vertices and r is region)
here edges is 10 n is 4
e<=3n-6 (10<=6) which is wrong
and 2e>=3r (20>=27) r is 9 .here also condition for planar graph not meet if the graph is planar but
![](https://gateoverflow.in/?qa=blob&qa_blobid=6307071378457108365)
Now if i draw i dont intersect any edges .,which show it is planar