Pictures for the paper

Stream: Seymour

[Martin Dvořák]

Slide 15 here
https://github.com/Ivan-Sergeyev/seymour/blob/main/slides/2024-10-09-project-proposal/2024-10-09-project-proposal.pdf
contains pictures that would be good for the ITP paper. Any idea what their intellectual property is? Can we simple redraw them?

[Cameron Rampell]

Screenshot 2026-02-01 at 13.10.40.png
Screenshot 2026-02-01 at 13.11.23.png
I have now painstakingly finished recreating the diagrams in TikZ (I'll fix the labels later). Where do you want me to include them?

[Notification Bot]

A message was moved here from #Seymour > Comments from peer review by Martin Dvořák.

[Martin Dvořák]

Can you also draw the 1-sum (sharing only a vertex) please?

[Martin Dvořák]

Would it be possible to draw what the overall graph (G) looks like for the 3-sum?

[Cameron Rampell]

I believe the overall graph for the 3-sum would be the same as the 2-sum, as per the diagrams you showed me earlier. Would a 1-sum just be two non-overlapping circles, or two circles that meet only at a point with no overlap otherwise?

[Martin Dvořák]

Cameron Rampell said:

I believe the overall graph for the 3-sum would be the same as the 2-sum, as per the diagrams you showed me earlier.

The graph $G$ for the 3-sum would have one more vertex drawn in the intersection.
Am I wrong?

[Martin Dvořák]

Cameron Rampell said:

Would a 1-sum just be two non-overlapping circles, or two circles that meet only at a point with no overlap otherwise?

Both drawings are correct. I personally prefer the two circles that meet at a single point.

[Cameron Rampell]

Martin Dvořák said:

Cameron Rampell said:

I believe the overall graph for the 3-sum would be the same as the 2-sum, as per the diagrams you showed me earlier.

The graph $G$ for the 3-sum would have one more vertex drawn in the intersection.
Am I wrong?

I was just following the diagram in the slide you sent me. I can change it if you want.

[Martin Dvořák]

Can you draw them in a way that makes sense for our paper? I think, if each of the images is in its own chapter, each image should be self-contained.

[Cameron Rampell]

main.pdf
Here is an uploaded version. Let me know what you think.

[Cameron Rampell]

I'll go ahead and comment out the acknowledgements right now.

[Martin Dvořák]

"Acknowledgements Anonymous acknowledgements" looks OK.

[Cameron Rampell]

Do the diagrams look okay?

[Martin Dvořák]

Almost?

[Cameron Rampell]

Do you have any other feedback? I cannot do any work until around 3 PM PST.

[Martin Dvořák]

image.png
Are you sure you aren't missing a vertex on the graph $G$ side?

[Martin Dvořák]

Also, what is the difference between $G_1$ and $H_1$ in your pictures?

[Martin Dvořák]

Maybe it makes sense but there is no explanation what it should mean. So I am confused and the reader will most likely be confused, too.

[Martin Dvořák]

Given that the figures are not referenced in the text, they need a full explanation right under the figures.