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3h
accepted What is $\langle I\rangle$ in this text?
3h
comment What is $\langle I\rangle$ in this text?
Thanks. I didn't think I had to go too much in the beginning to see that. I looked in the previous chapter various times, but didn't find it. Ah, I also didn't mention the book because there are no PDF's of them online (at least I didn't find it). Did you use Amazon's Look Inside?
2d
comment What is $\langle I\rangle$ in this text?
@anorton Ronald Gould: Graph Theory.
2d
asked What is $\langle I\rangle$ in this text?
Jan
28
comment Why does list coloring provides a more general setting to discuss the chromatic number?
The list colorings.
Jan
28
comment Why does list coloring provides a more general setting to discuss the chromatic number?
But are they always isomorphic one to each other?
Jan
28
asked Why does list coloring provides a more general setting to discuss the chromatic number?
Jan
28
comment Confusion about Hajós construction?
Thanks. I also read a bit of the Handbook of Graph Theory and discovered that the construction doesn't have to be made on all edges/vertices. It seems one could choose a limited ammount of them to process.
Jan
28
accepted Confusion about Hajós construction?
Jan
27
comment What is this binding function?
No, it was my mistake. I thought I saw it on the book.
Jan
27
comment What is this binding function?
There's something I noticed now: Is it cliche number or clique number? Or are they different things? When I first noticed it, it seemed to be a typo.
Jan
27
accepted What is this binding function?
Jan
27
comment What is this binding function?
Oh, nevermind. I understood it. $\omega(G)$ sweeps all graphs in $\mathcal{G}$, and then, one would have $$X(G_1)\leq f(\omega (G_1)), \quad X(G_2)\leq f(\omega (G_3)), \quad \ldots $$ I didn't see it before. Thanks for the answer.
Jan
27
asked What is this binding function?
Jan
24
comment Checking: finding extremals for a functional
DISTRACTED FOR WHAT?!
Jan
24
revised Confusion about Hajós construction?
added 63 characters in body
Jan
24
asked Confusion about Hajós construction?
Jan
18
comment Why don't we use Presburger's arithmetic instead of Peano's arithmetic?
@AndréNicolas Why can't we define it?
Jan
18
comment Why don't we use Presburger's arithmetic instead of Peano's arithmetic?
@AsafKaragila I'm not sure what is the meaning of write something in theory X. But I guess that it means to write something in terms of the given axioms. I'm also not really sure how I should write that proposition with Peano arithmetic. Could you expand a little or provide me with some reference on how to do it?
Jan
18
comment Why don't we use Presburger's arithmetic instead of Peano's arithmetic?
@AndréNicolas I don't understand. Could you expand?