Zyad

[Zyad @zyadtamimi]

@stoolpresidente You can see the Apollo sites from Nasa’s recent visit. https://t.co/0YZqUZuPX0

[Zyad @zyadtamimi]

@Skoorbkaz @AnthropicAI AI memes

[Zyad @zyadtamimi]

Verification:

Degree sequence:
(8,8,4,4,4,3,2,2,2,2,2,1)

Havel–Hakimi first produces a zero at step k=2.

Triangle counts:
(1,4,4,1,1,0,1,8,1,3,1,8)

The minimum occurs once, so freq(t_min)=1.

No 3-vertex total dominating set exists: every such set must contain 0, one of {1,2}, and one of {7,11}; choosing 7 leaves vertex 10 undominated, while choosing 11 leaves vertex 8 undominated.

But {0,1,7,9} is a total dominating set, so γₜ(G)=4.

Please verify—and let me know if this counterexample has appeared before!

[Zyad @zyadtamimi]

🚨 Possible counterexample to WOWII / Written on the Wall II Graph Conjecture 291!

I found a connected 12-vertex graph with

γₜ(G) = 4 > k + freq(t_min) = 2 + 1 = 3.

graph6:
KGABFo@?W?~J

So Conjecture 291 appears to be false. 🧵

#GraphTheory #Combinatorics

[Zyad @zyadtamimi]

@stspanho Nicely done, I’ve wanted this since 2014!

[Zyad @zyadtamimi]

@ClaudeDevs /goal maximize paper clip production!

[Zyad @zyadtamimi]

@RonStoeferle @grok is this chart adjusted for inflation?

[Zyad @zyadtamimi]

@waitbutwhy Fermi’s Paradox solved in one sentence: only civilizations born into isolation survive long enough to ask “where is everyone?”

[Zyad @zyadtamimi]

@gaulicsmith Fermi’s Paradox solved in one sentence: only civilizations born into isolation survive long enough to ask “where is everyone?”

[Zyad @zyadtamimi]

@trq212 @maxbittker Vs Code lets me “steer” opus while it works but it doesnt seem to do anything. I usually have to hit stop and add more context.

[Zyad @zyadtamimi]

@sama Project Delorean initiated! https://t.co/veJ8EAS3v4

[Zyad @zyadtamimi]

@robinhanson Population density by county. Small sample size allows for higher variance from country wide mean.