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Forced Edges and Graph Structure



Brian D. Cloteaux


For a degree sequence, its set of forced edges are the edges that appear in every realization of that sequence, while its forbidden edges appear in no realization. We examine sequences with forced or forbidden edges, showing relationships between these sequences, the structure of the forced or forbidden edge sets, and the resulting structural consequences to their realizations.
Journal of Research (NIST JRES) -


degree sequence, forced edge, forbidden edge


Cloteaux, B. (2019), Forced Edges and Graph Structure, Journal of Research (NIST JRES), National Institute of Standards and Technology, Gaithersburg, MD, [online], (Accessed June 21, 2024)


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Created November 19, 2019, Updated January 19, 2020