Consider a network represented as G$,$ where the density of the network is denoted by delta$($G$).$ Let's define eta$($u$,$ G$)$ as the set of neighbors $($friends$)$ of a node u in G$.$ Additionally, Gamma$($S$)$ refers to the induced subgraph on the set of nodes S from G$,$ encompassing all nodes in S along with their connections with other nodes in S$.$ In this context, elaborate how can you express the clustering coefficient of a node u in terms of the network density $\backslash$delta $,\backslash$eta and $\backslash$Gamma $.$