TITLE: Assuming $G=(V(G),E(G))$ is a graph what does $\Delta(G)$ mean?
QUESTION [5 upvotes]: 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.

REPLY [6 votes]: Probably the maximum degree.