If the generic name has already been mentioned in the same paragraph, it is often abbreviated to the initial letter in subsequent uses (C. lupus).
In a taxonomic publication, a name is incomplete without an author citation and publication details. This indicates who published the name; in what publication; with the date of the publication.
It is incorrect to refer to the genus and species as part of a "binomial" nomenclature. Binomial refers to a probability distribution based on a process known as a Bernoulli trial. Instead, the correct term is binominal nomenclature, which consists of a binomen, the genus and species.