Document Type
Article
Date of Original Version
3-14-2016
Embargo Date
3-14-2018
Abstract
Given the degree sequence d of a graph, the realization graph of d is the graph having as its vertices the labeled realizations of d, with two vertices adjacent if one realization may be obtained from the other via an edge-switching operation. We describe a connection between Cartesian products in realization graphs and the canonical decomposition of degree sequences described by R.I. Tyshkevich and others. As applications, we characterize the degree sequences whose realization graphs are triangle-free graphs or hypercubes.
Citation/Publisher Attribution
Barrus, M. D. (2016). On realization graphs of degree sequences. Discrete Mathematics, 339(8), 2146-2152.
Available at: http://dx.doi.org/10.1016/j.disc.2016.03.012
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