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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


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
up vote 5 down vote accepted

Probably the maximum degree.

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