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Forced Edges and Graph Structure

Published

Author(s)

Brian D. Cloteaux

Abstract

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.
Citation
Journal of Research (NIST JRES) -

Keywords

degree sequence, forced edge, forbidden edge

Citation

Cloteaux, B. (2019), Forced Edges and Graph Structure, Journal of Research (NIST JRES), National Institute of Standards and Technology, Gaithersburg, MD, [online], https://doi.org/10.6028/jres.124.022 (Accessed June 21, 2024)

Issues

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Created November 19, 2019, Updated January 19, 2020