Pdom.num2PE1Dasy: The asymptotic probability of domination number = 2 for...

In pcds: Proximity Catch Digraphs and Their Applications

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\le 1) for PE-PCD whose vertices are a uniform data set in a finite interval (a,b).

The PE proximity region N_{PE}(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

Pdom.num2PE1Dasy(c)

Arguments

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

Value

The asymptotic P(domination number\le 1) for PE-PCD whose vertices are a uniform data set in a finite interval (a,b)

Author(s)

Elvan Ceyhan

See Also

Pdom.num2PE1D and Pdom.num2PEtri

Examples

c<-.5

Pdom.num2PE1Dasy(c)

Pdom.num2PE1Dasy(c=1/1.5)
Pdom.num2PE1D(r=1.5,c=1/1.5,n=10)
Pdom.num2PE1D(r=1.5,c=1/1.5,n=100)

pcds documentation built on May 29, 2024, 9:36 a.m.