On crossing numbers and linguistic structures

A spelling net for a phrase consists of the multigraph whose points are labelled with the set of distinct letters in the phrase and whose lines lie on the Eulerian path obtained in "spelling out" the phrase between the (lettered) points. Spelling nets can also use phonemes or words as labels. An eodermdrome is a non-planar spelling net. Thus, the study of structural properties of eodermdromes is the study of non-planar Eulerian multigraphs.