\(\lambda\)

Node density

\(\delta\)

Onehop coverage radius

\(\varphi\)

Number of onehop neighbors / Node degree

\(\rho\)

Packet erasure probability

\(\omega\)

Forwarding probability of SCPs

\(\omega _\rho\)

Equivalent forwarding probability of SCPs under packet erasure probability \(\rho\)

\(\xi\)

Codedandforwarding probability of arbitrary SCP pairs

\(\eta\)

Successful delivery probability

\(\eta _\mathrm{{r}}\)

Successful delivery probability of a network with volunteer relay nodes only

\(\eta _\mathrm{{s}}\)

Coverage probability of silent nodes by relay nodes

\(W_{\mathbf {0}}\)

The set of nodes that can connect to the origin \(\mathbf {0}\)

\(\epsilon\)

Fraction of nodes that are not covered in a nearbroadcast

\({\varphi _\epsilon }\)

Minimum value of \(\varphi\) that a nearbroadcast could happen

\(a_\mathrm{{c}}\)

Critical mean node degree for continuum percolation

\(x_{{i}}\)

ith data packet

\(y_{{j}}\)

jth source coded packet (SCP)

\(c_{{j,i}}\)

the coding coefficient of the ith data packet in the jth SCP

z

Relay coded packet (RCP)

\({G_j}\)

Connected forwarding graph of \(y_{{j}}\)

\({V_j}\)

Nodes that have received the \(y_{{j}}\)

\({E_j}\)

Links that have successfully forwarded \(y_{{j}}\)

\({\mathcal{N}}\left( v \right)\)

Onehop neighbors of node v

r

Number of decoded SCPs

c

Number of received RCPs
