Which Complete Graphs are Planar? | Graph Theory

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Which complete graphs are planar? Which complete graphs are nonplanar? We'll answer this question in today's graph theory lesson!

We'll see that K1, K2, K3, and K4 are all planar complete graphs. Then, we'll prove that K5 is nonplanar and see why that implies no complete graph with at least 5 vertices can be planar!

I hope you find this video helpful, and be sure to ask any questions down in the comments!

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Комментарии
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Would you be able to make more contents in Graph theory? As I search through the entire Youtube videos, you're the only one that provides lessons on graph theory at undergrad level of top universities. Others videos are sometimes too shallow unlike yours.

koeithleomori
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The video flows so smooth! Thank you sir!

VietnamSteven
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Thank you so much, I was struggling in this lesson on Discrete math and your video helped me a lot.

AbdulelahAGR
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hey wrath of math great videos man keep it up appreciate it ca u make videos about physics like solid angle etc

JAYAMPAPERPLATES
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OK, so if a graph is NOT planar, how can we do the best that we can and draw it with the SMALLEST POSSIBLE number of edge crossing on a plane? Is there any systematic way to "untangle" a graph to make it at least sort-of planar?

bonbonpony
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Im need complet lecture about planar graph pdf..??

أ.غنيعلي....أستاذالرياضيات
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Sir please explain basic praposnality therom

krishorepalanati
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Is there any class about the perfect code on graph ?

maryamalshammari