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Contributions to the theory of graphic sequences

✍ Scribed by I.E. Zverovich; V.E. Zverovich

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
565 KB
Volume
105
Category
Article
ISSN
0012-365X

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✦ Synopsis

In this article we present a new version of the ErdGs-Gallai theorem concerning graphicness of the degree sequences.

The best conditions of all known on the reduction of the number of Erdiis-Gallai inequalities are given. Moreover, we prove a criterion of the bipartite graphicness and give a sufficient condition for a sequence to be graphic which does not require checking of any ErdGs-Gallai inequality.

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