Is it allowable to use an organization's name to publish a paper in a conference, even after I graduate from it? I just graduated from my university, and I have a paper to submit to a conference. I was filling out the information to submit my work to them, but I am not sure what to put as my organization. Since I have now graduated from the university, can I still use their name to publish my work? If the answer is no, is there any solution to get my work published?
The affiliation to your name on a publication should reflect where most of the work was done and where most of the funding came from.

Scenario 1
You just graduated and you want to publish your results in a paper. The manuscript will be written after graduation, but essentially all the results come from pre-graduation work. The affiliation is clearly the university where you graduated.

Scenario 2
You just graduated and continue researching on the topic. The new paper is an extension of your previous work, but all the work has been done by you after graduation. The affiliation is clearly not the university where you graduated. All the previous work should be cited accordingly. You can submit a paper independently, but it will be easier with a university affiliation. Talk to your former supervisor for advice.

Scenario 3 (in between 1 and 2)
You just graduated and you did some new research after graduation. However, a non-neglible part of the manuscript is from before graduation. In this case, you should talk to your former supervisor and ask for their opinion. In my opinion, they will be more than happy to have the paper submitted under their affiliation.

This answer is an extension of what Vladimir F said in the comments.