There's some work in translation studies which looks at Poe in translation, as far as I can see its manual analysis only.

http://lal.sagepub.com/content/13/1/73.full.pdf+html

This classic textual analysis was done on Poe's original

works

http://llc.oxfordjournals.org/content/12/1/1.full.pdf+html?sid=38d3e1dc-b42f-4195-aa1c-b200475c7bbd

Laffal, Julius. "Union and separation in Edgar Allan Poe." Literary and linguistic computing 12.1 (1997): 1-14.

I'm sure there's more scope for work on such a great author though.

What sort of network analysis do you have in mind and do you have any example publications of this sort of work?

There is much textual analysis of Poe. In the Publications of the Modern Language Association Bibliography, look under American Literature, 19th century, see Poe´s name, type out individual works you want analyzed and you will see the wealth of analyses. There are also international Poe societies with websites and you can get information about analyses there. If you can read French, Stéphane Mallarmé

analyzed Poe texts.

Thanks Mr. Orringer and Mr. Lynch for your contributions. My idea is to create graph representations of Poe's stories on perversion, using computer-based textual network analysis, to see if we can derive similar structural trends among the stories. I am applying Dmitry Paranyushkin's method as described at http://noduslabs.com/research/pathways-meaning-circulation-text-network-analysis/ So far I am getting familiar with some software applications suggested in the reading. I am currently working with The Tell Tale Heart. As far as I have been able to check, there are no similar attempts. I will definitely check on your suggestions. Typically, works on Poe do not use computer assistance, except in terms of word frequency. I would like to derive a pattern to see if such pattern can be explained by Poe's own theoretical views on aesthetics.

Although E.A. Poe was the child of actor parents, was unfamiliar with the theatre. However, it is generally admitted that stories like "The Fall of the House of Usher" and "The Cask of Amontillado" have all the qualities of a good play.

I included some observations on sport in Poe's works in my article.

Mazurkiewicz, M., (2017). Edgar Allan Poe – a Question of Sport, Literatura i Kultura Popularna XXIII, 2017. I can send my PDF.