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Upper bound on chromatic number of graph in terms of number of edges | graph theory | elementary
1 year ago
28
Health & Science
mathematics
graph
graph theory
combinatorics
discrete mathematics
edge
coloring
proper coloring
chromatic number
upper bound
Episode 72.
Upper bound on chromatic number of graph in terms of number of edges | graph theory | elementary.
The upper bound on the chromatic number of a graph in terms of the number of edges | graph theory | elementary level.
Branch of mathematics: graph theory.
Difficulty level: elementary.
Theorem. For a graph with $m$ edges, we have $\Chi(G) \leq \frac{1}{2}+\sqrt{2m+\frac{1}{4}}$.
Mathematics. Discrete Mathematics. Combinatorics. Graph theory.
#Mathematics #DiscreteMathematics #Combinatorics #GraphTheory
The same video on YouTube:
https://youtu.be/PU9jLwKvE8E
The same video on Telegram:
https://t.me/mathematical_bunker/96
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