Questions tagged [graph-limits]

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Why that a graphon is bipartite iff its odd cycle density is 0?

In the book "large networks and graph limits", exercise 7.16 is the question in the title. Let W be a graphon which its all odd cycle homomorphism density is 0. By proposition 14.21, W is a limit of ...
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Finding limits of multiple functions

I just wanted to confirm that the answers to the question are: a. 4 b. 1 c. -1/4 d. -37/13 If I am wrong, your advice would be greatly appreciated Also for finding limits in general. Is it ok ...
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How do I evaluate this limit, using Sandwich Theorem? [duplicate]

Using Sandwich Theorem, how can I evaluate the limit for - $$\lim_{n\to \infty} (a^n+b^n)^{1/n}$$ where $a$ and $b$ are positive quantities and $b$ is greater than $a$.
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Calculating $\lim_{x \to 0}{\frac{ \lfloor x \rfloor}{\lfloor x \rfloor}}$

My question is about $$\lim_{x \to 0}{\frac{ \lfloor x \rfloor}{\lfloor x \rfloor}}$$ where the notation is the floor function. I've graphed it and it is 1 everywhere except for $[0, 1)$. So, I ...
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Graph Version of (Weak) Szemeredi Regularity Via Graphon Version of (Weak) Szemeredi Regularity

$\newcommand{\mc}{\mathcal}$ $\newcommand{\set}[1]{\{#1\}}$ $\newcommand{\ab}[1]{\langle#1\rangle}$ $\newcommand{\E}{\mathbf E}$ $\DeclareMathOperator{\var}{Var}$ $\DeclareMathOperator{\cov}{Cov}$ $\...