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math.CO2013
A sharp refinement of a result of Zverovich--Zverovich
Grant Cairns, Stacey Mendan, Yuri Nikolayevsky
For a finite sequence of positive integers to be the degree sequence of a finite graph, Zverovich and Zverovich gave a sufficient condition involving only the length of the sequenc…
math.CO2013
An improvement of a result of Zverovich--Zverovich
Grant Cairns, Stacey Mendan
We give an improvement of a result of Zverovich and Zverovich which gives a condition on the first and last elements in a decreasing sequence of positive integers for the sequence…
math.CO2013
Some Remarks on Graphical Sequences for Graphs and Bipartite Graphs
Grant Cairns, Stacey Mendan
For finite sequence $\underbar{\em d}$ of positive integers, we consider graphs that have $\underbar{\em d}$ as their list of vertex degrees, and bipartite graphs for which each pa…