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The bi\u2010embeddability spectrum of a structure is the family of Turing degrees of its bi\u2010embeddable copies. To facilitate our study we introduce the notions of bi\u2010embeddable triviality and basis of a spectrum. Using bi\u2010embeddable triviality we show that several known families of degrees are bi\u2010embeddability spectra of structures. We then characterize the bi\u2010embeddability spectra of linear orderings and study bases of bi\u2010embeddability spectra of strongly locally finite\u00a0graphs.<\/jats:p>","DOI":"10.1002\/malq.201800056","type":"journal-article","created":{"date-parts":[[2019,8,29]],"date-time":"2019-08-29T09:55:09Z","timestamp":1567072509000},"page":"228-236","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Bi\u2010embeddability spectra and bases of spectra"],"prefix":"10.1002","volume":"65","author":[{"given":"Ekaterina","family":"Fokina","sequence":"first","affiliation":[{"name":"Institute of Discrete Mathematics and Geometry Technische Universit\u00e4t Wien Wiedner Hauptstra\u00dfe 8\u201010\/104 Vienna 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