# Assuming $G=(V(G),E(G))$ is a graph what does $\Delta(G)$ mean?

Perhaps someone is kind enough to explain to me the meaning of this mathematical symbol, that I found in Discrete Mathematics (Matroid Theory)?

Let $G=(V(G),E(G))$ be a graph. What does

$$\Delta(G)$$

mean? From the context I can determine, that $\Delta(G)$ computes an integer $k\in\mathbb{N}$. But I don't know for what $k$ stands.

The exercise is: Let $k\in\mathbb{N}$ and $G$ be a graph. Define $$\mathcal{F}_{G}:=\{F\subset E(G): \Delta((V(G),F))\leq k\}$$ etc.

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Could you give the source? I can think of at least two things (the maximum degree, or the Laplacian). –  Qiaochu Yuan Jul 5 '11 at 23:58
Someone might know this offhand (I don't), but perhaps you could give us some context? –  Fixee Jul 6 '11 at 0:01
I'll add the whole exercise in a sec. –  Aufwind Jul 6 '11 at 0:01
Makes sense it's max-degree; lowercase delta is degree of a given vertex. –  Fixee Jul 6 '11 at 1:50