Constructive extensions of two results on graphic sequences |
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| Authors: | Ankit Garg |
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| Institution: | a Department of Computer Science & Engineering, Indian Institute of Technology, Hauz Khas, New Delhi-110016, Indiab Department of Mathematics, Indian Institute of Technology, Hauz Khas, New Delhi-110016, India |
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| Abstract: | A list of nonnegative integers is graphic if it is the list of vertex degrees of a graph. Erd?s-Gallai characterized graphic lists, and Gale and Ryser, independently, provided one for a bipartite graph, given two lists of nonnegative integers. We give a constructive proof of an extension of these two results. |
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| Keywords: | Graphic Bigraphic Realization Lexicographic ordering Good order |
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