Take the 2-minute tour ×
Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. It's 100% free, no registration required.

In quantum graph theory, what are the properties of a given graph to own complex conjugated complex eigenvalues, either finite or infinite? Spectral graph theory is as far as I know a not completely developed branch for spectra of "infinite graphs". Some useful reference would be welcome (for spectral graph theory of infinite graphs).

share|improve this question

1 Answer 1

Infinite graphs is delicate topic in Spectral Graph theory because there are many technical considerations for the theory to even make sense.

In the mathematical realm theories for infinite graphs, more accurately "graph limits" include:

Lovasz's work on "Graphons" in the dense case, (http://www.ams.org/bookstore-getitem/item=COLL-60) and Chungs work on "Graphlets" in the sparse case. (http://arxiv.org/abs/1203.2269)

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.