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Graphic sequences with a realization containing a complete multipartite subgraph

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Publication:998452
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DOI10.1016/j.disc.2007.10.047zbMath1168.05016OpenAlexW2000144448MaRDI QIDQ998452

Michael Ferrara, Ronald J. Gould, Guantao Chen, John R. Schmitt

Publication date: 28 January 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2007.10.047

zbMATH Keywords

degree sequencepotentially \(H\)-graphic sequence


Mathematics Subject Classification ID

Vertex degrees (05C07)


Related Items

On the sum necessary to ensure that a degree sequence is potentially \(H\)-graphic, Potentially K m — G-graphical sequences: A survey, An Erdős-Stone Type Conjecture for Graphic Sequences



Cites Work

  • Potentially \(K_{r_{1},r_{2},\dots ,r_{l},r,s}\)-graphic sequences
  • The Erdős-Jacobson-Lehel conjecture on potentially \(P_k\)-graphic sequence is true
  • An extremal problem on potentially \(K_{r,s}\)-graphic sequences
  • The smallest degree sum that yields potentially \(K_{r,r}\)-graphic sequences
  • Two sufficient conditions for a graphic sequence to have a realization with prescribed clique size
  • On the structure of linear graphs
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