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Degree sequences in complexes and hypergraphs. (English) Zbl 0323.05137


MSC:

05C99 Graph theory
57M15 Relations of low-dimensional topology with graph theory
57M20 Two-dimensional complexes (manifolds) (MSC2010)
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References:

[1] Claude Berge, Graphes et hypergraphes, Dunod, Paris, 1970 (French). Monographies Universitaires de Mathématiques, No. 37. · Zbl 0213.25702
[2] P. Erdös and T. Gallai, Graphs with prescribed degrees of vertices, Mat. Lapok 11 (1960), 264-274. · Zbl 0103.39701
[3] S. L. Hakimi, On realizability of a set of integers as degrees of the vertices of a linear graph. I, J. Soc. Indust. Appl. Math. 10 (1962), 496 – 506. · Zbl 0109.16501
[4] Václav Havel, Eine Bemerkung über die Existenz der endlichen Graphen, Časopis Pěst. Mat. 80 (1955), 477 – 480 (Czech, with Russian and German summaries). · Zbl 0068.37202
[5] P. J. Hilton and S. Wylie, Homology theory: An introduction to algebraic topology, Cambridge University Press, New York, 1960. · Zbl 0091.36306
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