Table 1 Summary of symbols

A

The adjacency matrix of disease similarity network

G _i

The adjacency matrix of the tissue-specific molecular network of

disease i (for NoN)

G _i∗

The adjacency matrix of the center molecular network of disease i

(for NoSN)

G _ip

The adjacency matrix of the p ^th auxiliary molecular network of

disease i (for NoSN)

I _n

An n×n identity matrix

r _i

The ranking score vector of genes in G _i (for NoN)

e _i

The seed vector of genes in G _i (for NoN)

r _i∗

The ranking score vector of genes in G _i∗ (for NoSN)

e _i∗

The seed vector of genes in G _i∗ (for NoSN)

r _ip

The ranking score vector of genes in G _ip (for NoSN)

e _ip

The seed vector of genes in G _ip (for NoSN)

h

Number of diseases in A

n _i

Number of genes in G _i (for NoN)

n _i∗

Number of genes in G _i∗ (for NoSN)

n _ip

Number of genes in G _ip (for NoSN)

k _i

Number of auxiliary molecular networks of disease i (for NoSN)

d _A (i)

Degree of disease i in A, i.e., \(d_{\mathbf {A}}(i) = \sum _{j=1}^{h}\mathbf {A}(i,j)\)

\(\mathcal {I}_{ij}\)

The set of common genes in G _i and G _j (for NoN)

\(\bar {\mathcal {I}}_{ij}\)

The set of genes in G _i but not in G _j (for NoN)

\(\mathcal {I}_{i*,j*}\)

The set of common genes in G _i∗ and G _j∗ (for NoSN)

\(\bar {\mathcal {I}}_{i*,j*}\)

The set of genes in G _i∗ but not in G _j∗ (for NoSN)

\(\mathcal {I}_{i*,ip}\)

The set of common genes in G _i∗ and G _ip (for NoSN)

\(\bar {\mathcal {I}}_{i*,ip}\)

The set of genes in G _i∗ but not in G _ip (for NoSN)