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Table 1 Nomenclature

From: GSM: gateway selection mechanism for strengthening inter-cluster coordination in cognitive radio ad hoc networks

Notation

Description

Φ i

Cluster with the i th node as the cluster head.

T

Total number of channels in the network.

n

Number of SUs.

C i

List of idle channels sensed by the i th SU.

N i

List of neighbors of the i th SU.

γ

Transmission range of SU or PU.

G i (S1, S2, E)

Undirected bipartite graph at the i th SU.

S 1

Set of vertices including the i th SU and its neighborsN i .

S 2

Set of vertices including a list of channels C i available with the i th SU.

X i

Nodes in the chosen maximum edge biclique graph of the i th SU.

Y i

Channels in the chosen maximum edge biclique graph of the i th SU.

Q(X i , Y i )

Sub-graph of graph G, known as a multiple-edge biclique graph.

Z m

Common control channels assigned to the m th cluster

F

Number of elements in X i .

K

Number of elements in Y i .

w i

Weight assigned to the i th SU based on the product of X i andY i .

d im

Degree of connectivity of an i th node to its neighbor node belonging to cluster m, i.e., the intersection of C i and a set of idle channels chosen for cluster m.

σ

PU arrival rate; refers to how often a PU occupies a channel.

α

Average number of intra-cluster control channels per cluster in the entire CRAHN.

β

Average number of inter-cluster control channels per cluster in the entire CRAHN.