Graph Theory: 60. Non Planar Graphs

Опубликовано: 15 Май 2026
на канале: Sarada Herke
55,975
595

In this video we formally prove that the complete graph on 5 vertices is non-planar. Then we prove that a planar graph with no triangles has at most 2n-4 edges, where n is the number of vertices. Using this fact, we formally prove that the complete biparite graph with partite sets both of size 3 is non-planar.
-- Bits of Graph Theory by Dr. Sarada Herke.


Related videos:
GT59 Maximal Planar Graphs -    • Graph Theory: 59. Maximal Planar Graphs  
GT58 Euler's Formula for Plane Graphs -    • Graph Theory: 58. Euler's Formula for Plan...  
GT57 Planar Graphs -    • Graph Theory: 57. Planar Graphs  
GT19 Graph is Bipartite iff No Odd Cycle -    • Graph Theory: 19. Graph is Bipartite iff N...  

For quick videos about Math tips and useful facts, check out my other channel
"Spoonful of Maths" -    / spoonfulofmaths  

Video Production by: Giuseppe Geracitano (goo.gl/O8TURb)