2

In Metapost I was able to make a graph where there's no gap between the edges and vertices:

enter image description here

But in Tikz there is a gap between the two:
enter image description here

Making a black "border" around the vertex did not help. No matter what I try there is a white outline, does anyone know how to remove the white outline completely?

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    if you will wiling to show, your code drawing vertex, than we will be able to help you. i suspect that you have or white border around it or have outer sep greater than zero ... – Zarko Nov 25 '18 at 18:47
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    Dear close voters, please give the OP a bit time to reply to comments and improve the question. – user36296 Nov 25 '18 at 19:38
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    Hello user1271772 Glad to hear! I will only answer if @Zarko, who was first, does not want to answer. – user121799 Nov 25 '18 at 20:24
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    Let's just wait and see what @Zarko says. Most importantly, your problem is solved. – user121799 Nov 25 '18 at 20:31
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    @user1271772, well, this site is not a service "we-will-do-your-task-instead-you`. – Zarko Nov 25 '18 at 21:01
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To put these comments to an end... full credits go to Zarko, who already pointed out all the important facts.

The question is, as far as I understand it, why there can be a white boundary around shapes. The two most common reasons are

  1. there is an outer sep greater than 0 and
  2. the shape has a boundary path.

This is illustrated by the MWE

\documentclass[tikz,border=3.14mm]{standalone} 
\begin{document} 
\begin{tikzpicture} 
\node[fill,circle,inner sep=3pt,outer sep=0pt] (A){}; 
\node[fill,circle,inner sep=3pt,outer sep=1pt] (B) at (2,0) {}; 
\node[fill,circle,inner sep=3pt,draw=white] (C) at (4,0) {}; 
\foreach \Y in {A,B,C} 
{\foreach \X in {-0.5,-0.2,0.2,0.5} 
 {\draw[thick] ([xshift=\X*1cm,yshift=-5mm]\Y.south) -- (\Y);}} 
\end{tikzpicture} 
\end{document} 

enter image description here

in which B comes with a nontrivial outer sep and C has a white boundary path. Unlike A, both shapes seem to have a white "halo".

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