I am looking for a software that can allow me to draw oriented graphs with labelled edges, and some other topological figures,very similar to the ones in Allen Hatcher's book https://www.math.cornell.edu/~hatcher/AT/AT.pdf pages 58 and 62.
The kinds of software Hatcher used would be very useful to me. I tried some softwares used for knot-plotting, also looked into the packages in LaTeX that could do this directly, yet I could not go far. I am able to draw these figures in Adobe Illustrator, they look fine but then I could not show the orientation and labelling on the figure.
Any kind of help is appreciated, thanks in advance.
Inkscape is great. You can draw some figures, add labels within dollar signs and it will understand you want to use the figure in a latex document.
It will then generate a texfile that you can input. It will convert your labels to proper latex.