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This is an R package that contains the functions for construction and visualization of the underlying or reflexivity graphs of the proximity catch digraphs (PCDs) for one, two and three dimensional data. The PCD families considered are Arc-Slice (AS) PCDs, Proportional-Edge (PE) PCDs and Central Similarity (CS) PCDs. The package also contains functions for testing patterns of segregation and association against complete spatial randomness (CSR) and uniformity of data in one, two, and three dimensional cases using the edge density of these PCD-based graphs.

Install from GitHub: devtools::install_github("elvanceyhan/pcds.ugraph")

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Install

install.packages('pcds.ugraph')

Monthly Downloads

163

Version

0.1.1

License

GPL-2

Maintainer

Elvan Ceyhan

Last Published

December 19th, 2023

Functions in pcds.ugraph (0.1.1)

IedgeASbasic.tri

The indicator for the presence of an edge from a point to another for the underlying or reflexivity graph of Arc Slice Proximity Catch Digraphs (AS-PCDs) - standard basic triangle case
CSedge.dens.tri

Edge density of the underlying or reflexivity graphs of Central Similarity Proximity Catch Digraphs (CS-PCDs) - one triangle case
edgesCStri

The edges of the underlying or reflexivity graphs of the Central Similarity Proximity Catch Digraph (CS-PCD) for 2D data - one triangle case
IedgeCSstd.tri

The indicator for the presence of an edge from a point to another for the underlying or reflexivity graphs of Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle case
IedgeCStri

The indicator for the presence of an edge from a point to another for the underlying or reflexivity graphs of Central Similarity Proximity Catch Digraphs (CS-PCDs) - one triangle case
edgesPE

The edges of the underlying or reflexivity graph of the Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D data - multiple triangle case
PEedge.dens.tri

Edge density of the underlying or reflexivity graph of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle case
.onAttach

.onAttach start message
edgesCS

The edges of the underlying or reflexivity graphs of the Central Similarity Proximity Catch Digraph (CS-PCD) for 2D data - multiple triangle case
edgesAStri

The edges of the underlying or reflexivity graph of the Arc Slice Proximity Catch Digraph (AS-PCD) for 2D data - one triangle case
inci.mat.undCSstd.tri

Incidence matrix for the underlying or reflexivity graphs of Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle case
inci.mat.undAS

Incidence matrix for the underlying or reflexivity graph of Arc Slice Proximity Catch Digraphs (AS-PCDs) - multiple triangle case
funsMuVarUndPE2D

Returns the mean and (asymptotic) variance of edge density of underlying or reflexivity graph of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D uniform data in one triangle
edgesPEtri

The edges of the underlying or reflexivity graph of the Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D data - one triangle case
funsMuVarUndCS2D

Returns the mean and (asymptotic) variance of edge density of underlying or reflexivity graphs of Central Similarity Proximity Catch Digraph (CS-PCD) for 2D uniform data in one triangle
num.edgesCS

Number of edges of the underlying or reflexivity graphs of Central Similarity Proximity Catch Digraphs (CS-PCDs) - multiple triangle case
num.edgesAStri

Number of edges of the underlying or reflexivity graph of Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle case
IedgePEtri

The indicator for the presence of an edge from a point to another for the underlying or reflexivity graph of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle case
PEedge.dens.test

A test of segregation/association based on edge density of underlying or reflexivity graph of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D data
inci.mat.undCStri

Incidence matrix for the underlying or reflexivity graphs of Central Similarity Proximity Catch Digraphs (CS-PCDs) - one triangle case
pcds.ugraph-package

pcds.ugraph: A package for the Underlying and Reflexivity Graphs of the Proximity Catch Digraphs and Their Applications
num.edgesPEtri

Number of edges in the underlying or reflexivity graph of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle case
plotCSedges

The plot of the edges of the underlying or reflexivity graphs of the Central Similarity Proximity Catch Digraph (CS-PCD) for 2D data - multiple triangle case
print.summary.NumEdges

Print a summary of a NumEdges object
plotCSedges.tri

The plot of the edges of the underlying or reflexivity graphs of the Central Similarity Proximity Catch Digraph (CS-PCD) for 2D data - one triangle case
inci.mat.undPEtri

Incidence matrix for the underlying or reflexivity graph of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle case
num.edgesAS

Number of edges of the underlying or reflexivity graph of Arc Slice Proximity Catch Digraphs (AS-PCDs) - multiple triangle case
plotASedges

The plot of the edges of the underlying or reflexivity graph of the Arc Slice Proximity Catch Digraph (AS-PCD) for 2D data - multiple triangle case
plotASedges.tri

The plot of the edges of the underlying or reflexivity graph of the Arc Slice Proximity Catch Digraph (AS-PCD) for 2D data - one triangle case
inci.mat.undAStri

Incidence matrix for the underlying or reflexivity graph of Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle case
print.summary.UndPCDs

Print a summary of an UndPCDs object
num.edgesCStri

Number of edges in the underlying or reflexivity graphs of Central Similarity Proximity Catch Digraphs (CS-PCDs) - one triangle case
plot.UndPCDs

Plot an UndPCDs object
.onLoad

.onLoad getOption package settings
inci.mat.undPE

Incidence matrix for the underlying or reflexivity graph of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - multiple triangle case
inci.mat.undPEstd.tri

Incidence matrix for the underlying or reflexivity graph of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard equilateral triangle case
edgesAS

The edges of the underlying or reflexivity graph of the Arc Slice Proximity Catch Digraph (AS-PCD) for 2D data - multiple triangle case
inci.mat.undCS

Incidence matrix for the underlying or reflexivity graphs of Central Similarity Proximity Catch Digraphs (CS-PCDs) - multiple triangle case
plot.NumEdges

Plot a NumEdges object
num.edgesCSstd.tri

Number of edges in the underlying or reflexivity graphs of Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle case
plotPEedges

The plot of the edges of the underlying or reflexivity graph of the Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D data - multiple triangle case
plotPEedges.tri

The plot of the edges of the underlying or reflexivity graph of the Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D data - one triangle case
print.UndPCDs

Print a UndPCDs object
summary.UndPCDs

Return a summary of an UndPCDs object
num.edgesPE

Number of edges of the underlying or reflexivity graph of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - multiple triangle case
print.NumEdges

Print a NumEdges object
summary.NumEdges

Return a summary of a NumEdges object
num.edgesPEstd.tri

Number of edges in the underlying or reflexivity graph of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard equilateral triangle case
IedgePEbasic.tri

The indicator for the presence of an edge from a point to another for the underlying or reflexivity graph of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard basic triangle case
IedgePEstd.tri

The indicator for the presence of an edge from a point to another for the underlying or reflexivity graph of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard equilateral triangle case
IedgeAStri

The indicator for the presence of an edge from a point to another for the underlying or reflexivity graph of Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle case
ASedge.dens.tri

Edge density of the underlying or reflexivity graph of Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle case
IedgeCSbasic.tri

The indicator for the presence of an edge from a point to another for the underlying or reflexivity graphs of Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard basic triangle case
CSedge.dens.test

A test of segregation/association based on edge density of underlying or reflexivity graph of Central Similarity Proximity Catch Digraph (CS-PCD) for 2D data