Premium Only Content

The chromatic number of a graph and min degrees of its subgraphs | graph theory | intermediate level
Episode 86.
The chromatic number of a graph and min degrees of its subgraphs | graph theory | intermediate level.
The connection between the chromatic number of a graph and the minimum degrees of its subgraphs | graph theory | intermediate level.
Branch of mathematics: graph theory.
Difficulty level: intermediate.
Theorem. Any graph $G$ contains a subgraph $H$ with $\Chi(H)=\Chi(G)$ and $\delta(H) \geq \Chi(G) - 1$.
Theorem. For any graph $G$, there is an upper bound on the chromatic number of $G$ in terms of the minimum degrees of its subgraphs: $\Chi(G) \leq \max_{H \subseteq G}{(\delta(H))} + 1$.
Mathematics. Discrete Mathematics. Combinatorics. Graph theory.
#Mathematics #DiscreteMathematics #Combinatorics #GraphTheory
The same video on YouTube:
https://youtu.be/e6k6UTaYm48
The same video on Telegram:
https://t.me/mathematical_bunker/110
-
43:23
Donald Trump Jr.
4 hours agoNo Clap: Dems are a Disgrace but My Father is Bringing Back Common Sense | Triggered Ep.222
85.2K84 -
LIVE
Akademiks
5 hours agoDay 1/30. Drake Drops lawsuit vs iHeartMedia? Offset and Cardi Calls it Quits. 50 v Jim Jones?
3,024 watching -
18:29
The Rad Factory
1 day agoBuilding Shred Eighty a Custom Honda Snow Kart
5 -
UPCOMING
Precision Rifle Network
1 day agoS4E7 Guns & Grub - What makes group size increase?
218 -
46:29
SGT Report
22 hours agoAMERICA IS BACK! BYE BYE IRS!! -- Sam Anthony
37.9K75 -
8:56:13
Dr Disrespect
10 hours ago🔴LIVE - DR DISRESPECT - WARZONE - 150 PLAYER LOBBIES
154K19 -
1:27:35
Redacted News
5 hours ago"This is NOT normal" Trump just destroyed the woke mob as Dems in disarray | Redacted News Live
131K250 -
1:39:52
Vigilant News Network
6 hours agoUNHINGED: Dems Say That Elon Needs to ‘Go Back to AFRICA?’ | The Daily Dose
84.9K19 -
1:13:13
Sean Unpaved
6 hours ago $6.05 earnedQB Carousel
72.4K2 -
1:04:28
Crypto Power Hour
1 day ago $5.60 earnedThe Crypto Power Hour - ‘In Crypto We Trust’
74.5K7