Lower bound of the hadwiger number of graphs by their average degree

@article{Kostochka1984LowerBO,
  title={Lower bound of the hadwiger number of graphs by their average degree},
  author={A. Kostochka},
  journal={Combinatorica},
  year={1984},
  volume={4},
  pages={307-316}
}
  • A. Kostochka
  • Published 1984
  • Mathematics, Computer Science
  • Combinatorica
The aim of this paper is to show that the minimum Hadwiger number of graphs with average degreek isO(k/√logk). Specially, it follows that Hadwiger’s conjecture is true for almost all graphs withn vertices, furthermore ifk is large enough then for almost all graphs withn vertices andnk edges. 
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