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NARVAL >> NARVAL > NARVAL_G_Distance

NARVAL_G_Distance

Perform the distance distribution of a graph.

Calling Sequence

[D] = NARVAL_G_Distance(ERT)

Parameters

ERT :

enhanced routing table.

D :

distance distribution.

Description

NARVAL_G_Distance performs the distance distribution D of the graph g in respect with its enhanced routing table ERT. ERT stores all paths between any couple of distinct nodes within the network. ERT can be generated with the application of NARVAL_R_ERoutingTable on routing tables created from NARVAL_R_TFlood, NARVAL_R_TDijkstra, or NARVAL_R_TBellmanFord. For a better convenience, we already generated a scenario whith the creation of a graph composed by 100 nodes. We have also performed 5 enhanced routing tables [rt1,rt2,rt3,rt4,rt5] providing multiple paths for each connection between two nodes. The route between the nodes i and j can be read at the line of index (i-1)*n+j where n represents the network size. Then for each path stored into a single line, its hop length can be found in the first column, followed by its length and finally the path composed by a list of nodes ([hop length | length | path]). D provides the probability D(x) for a random pair of nodes to be at a distance x hops from each other.

Examples

[path]=NARVAL_F_NARVALPath();//path to NARVAL module
path=path+'/demos/';//folder path
load(path+'RoutingTables_topo_100.dat','pt','rt1','rt2','rt3','rt4','rt5');//loading of the network routing tables
[D]=NARVAL_G_Distance(rt1);//application of NARVAL_G_Distance
plo=1;//window index
scf(plo);//graph visualization
clf(plo);
f=gcf();
f.figure_name="NARVAL_G_Distance";
plot2d3(1:length(D),D,rect=[0 0 length(D) 1]);
plot2d(1:length(D),D,rect=[0 0 length(D) 1],style=5);
xtitle('Distance Distribution','Distance','Frequency');

Authors

Foued Melakessou

Contact

Dr. Foued Melakessou

Research Associate

Interdisciplinary Centre for Security, Reliability and Trust

Room F106

University of Luxembourg

6, rue Coudenhove Kalergi

L-1359 Luxembourg-Kirchberg

E-mail: foued.melakessou@uni.lu

Tel: (+352) 46 66 44 5346

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