File:Planted clique 18,64.svg

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search

Original file (SVG file, nominally 1,536 × 1,536 pixels, file size: 30 KB)

Captions

Captions

An 18-vertex planted clique in a 64-vertex random graph

Summary

[edit]
Description
English: An 18-vertex planted clique (blue vertices and upper edges) in a 64-vertex random graph (all vertices and lower edges). Every pair of blue vertices is adjacent; the remaining pairs are adjacent randomly with probability 1/2.
Date
Source Own work
Author David Eppstein

Licensing

[edit]
I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

Source code

[edit]
from PADS import SVG
import sys
import random
n = 64
k = 18
r = 6
w = 4*n*r

def vertex(i):
    return 4*i*r + 2*r + (w//2)*1j

def radius(i,j):
    return 2*abs(i-j)*r

planted = set()
while len(planted) < k:
    planted.add(random.randrange(n))

svg = SVG.SVG(w+w*1j,sys.stdout)

svg.group(stroke=SVG.colors.black)

svg.group(fill=SVG.colors.none)
for i in range(n):
    for j in range(i):
        if i in planted and j in planted:
            svg.arc(vertex(i),vertex(j),radius(i,j))
        elif random.randrange(2):
            svg.arc(vertex(j),vertex(i),radius(i,j))
svg.ungroup()

svg.group(fill=SVG.colors.blue)
for i in range(n):
    if i in planted:
        svg.circle(vertex(i),r)
svg.ungroup()

svg.group(fill=SVG.colors.yellow)
for i in range(n):
    if i not in planted:
        svg.circle(vertex(i),r)
svg.ungroup()

svg.ungroup()
svg.close()

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current08:10, 17 November 2023Thumbnail for version as of 08:10, 17 November 20231,536 × 1,536 (30 KB)David Eppstein (talk | contribs)Uploaded own work with UploadWizard

You cannot overwrite this file.

The following page uses this file:

Metadata

This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.

Retrieved from "https://commons.wikimedia.org/w/index.php?title=File:Planted_clique_18,64.svg&oldid=822661334"