IEEE Circuits and Systems Magazine - Q4 2019 - 45

Table III.
Nomenclature List.
Notation

Details

A

Adjacency matrix

aij

An element of A, defining the directed connectivity between nodes i and j

a1

Percentage of total population accessing stops on layer a

a2

Percentage of total population accessing stops on layer b

Ci

Local clustering coefficient of node i

GC H

Average clustering coefficient

CD

Global clustering coefficient

C b (i)

Betweenness centrality of a node i

C b (e im)

Betweenness centrality of an edge eim connecting nodes i and m

C c (i)

Closeness centrality of a node i

cd

Cost of a shortest path d

Gd H

Average path length between two nodes

G d tr H

Average path length between two nodes considering the number of transfers

dij

Geodesic path or shortest path between nodes i and j

d ij (k)

Shortest path between nodes i and j through the node k

d max

Diameter of the network

dm

# of points-of-interests of category m

DFRl

Duplication factor of a bus route R l

E or M

Set of edges in a network

ki

Degree of a node i

k ia

Degree of a node i on layer a

k max

Maximum degree of a node i

k min

Minimum degree of a node i

k

in
i

In-degree of a node i in a directed network

k out
i

Out-degree of a node i in a directed network

k

total
i

Total degree of a node i in a directed network

k

w
i

Weighted degree of a node i

in w
i

(k )

Weighted in-degree of a node i in a directed network

w
(k out
i )

Weighted out-degree of a node i in a directed network

(k

total w
i

)

Weighted overall degree of a node i in a directed network
Average degree of an undirected network

Gk H
w

Gk H

Average weighted degree of an undirected network

G k in H

Average in-degree of a directed network

in w

G (k ) H
Gk

out

H

out w

Average weighted in-degree of a directed network
Average out-degree of a directed network

G (k ) H

Average weighted out-degree of a directed network

G k total H

Average overall degree of a directed network

FOURTH QUARTER 2019

(Continued)

IEEE CIRCUITS AND SYSTEMS MAGAZINE

45



IEEE Circuits and Systems Magazine - Q4 2019

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