There are many synonyms for the phrase "give a name to" that can be used to add variety and interest to your writing. Some possibilities include assigning a name, naming, identifying, dubbing, christening, calling, titling, characterizing, branding, labeling, and categorizing. Each of these options conveys a slightly different connotation, so it is important to choose the word that best fits the context and tone of your writing. Whether you are naming a character in a story, identifying a product in a marketing campaign, or categorizing data in a research paper, using the right synonym can help make your message more clear and engaging.