IEEE Circuits and Systems Magazine - Q4 2019 - 46

Table III.
Nomenclature List. (Continued)
Notation

Details

G (k total) w H

Average weighted overall degree of a directed network

L

Cardinality of edges in a network, i.e., L =| E |

L proj
n

46

Link projected graph of a bipartite graph
ith node in a network

N

Cardinality of nodes in a network i.e. N =| V |

Nk

Number of nodes with degree k

N proj

Node projected graph of a bipartite graph

pk

Probability of finding a node with degree k

Pi

# of people accessing stop i

Pa

# of people accessing the stops on layer a

Pb

# of people accessing the stops on layer b

PT

Total population

R

The number of bus routes a stop joins

Rl

Number of routes operating between two nodes

S

The number of stops in a bus route

trij

Number of transfers between nodes i and j

V

Set of nodes in a network

vij

Average vehicular speed along an edge connecting nodes n i and n j

wij

Weight of an edge connecting nodes i and j

(w i a) Z

Weight of a node i on layer a in a zone Z

wi

Overall weight of a node i

m

Poisson coefficient

a

Exponential coefficient

c

Power law coefficient

c in

Power law coefficient for in-degree in a directed network

c out

Power law coefficient for out-degree in a directed network

r

Assortativity coefficient

r

)

*
i

(2)

Assortativity coefficient for second neighbors of a node

v

Small-world parameter

~

New small-world parameter

t Pa

Density of people accessing stops on layer a in a zone Z

t Na

Density of stops layer a in a zone Z

t Pa
t Na
f

Length difference between the two routes

m th

Route length divergence threshold

cl

Transfer count difference

p

Route transfer count divergence

Node occupying probability (NOP)

a node ni is interchangeably represented as i in a few sections for brevity.

IEEE CIRCUITS AND SYSTEMS MAGAZINE

FOURTH QUARTER 2019



IEEE Circuits and Systems Magazine - Q4 2019

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