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order; degree-continuous graph; degree set; Erdös-Gallai theorem; regular graph

References:

[1] S. A. Choudum: **A simple proof of the Erdös-Gallai theorem on graph sequences**. Bull. Austral. Math. Soc. 33 (1986), 67–70. DOI 10.1017/S0004972700002872 | MR 0823853

[2] P. Erdös, T. Gallai: **Graphs with prescribed degrees of vertices**. Mat. Lapok 11 (1960), 264–274. (Hungarian)

[3] J. Gimbel, P. Zhang: **Degree-continuous graphs**. Czechoslovak Math. J. 51 (126) (2001), 163–171. DOI 10.1023/A:1013718124383 | MR 1814641