pcds (version 0.1.1)

PG2PE1D.asy: The asymptotic probability of domination number=2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval case

Description

Returns the asymptotic P(domination number=2) for PE-PCD whose vertices are a uniform data set in a finite interval \((a,b)\).

The PE proximity region \(NPE(x,r,c)\) is defined with respect to (a,b) with centrality parameter c in \((0,1)\) and expansion parameter \(r=1/\max(c,1-c)\).

Usage

PG2PE1D.asy(c)

Arguments

c

A positive real number in \((0,1)\) parameterizing the center inside \(int=(a,b)\). For the interval, \(int=(a,b)\), the parameterized center is \(M_c=a+c(b-a)\).

Value

The asymptotic P(domination number=2) for PE-PCD whose vertices are a uniform data set in a finite interval \((a,b)\)

See Also

PG2PE1D and PG2PEtri

Examples

# NOT RUN {
c<-.5

PG2PE1D.asy(c)

PG2PE1D.asy(c=1/1.5)
PG2PE1D(r=1.5,c=1/1.5,n=10)
PG2PE1D(r=1.5,c=1/1.5,n=100)

# }