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Séminaire d'équipe(s) GraphComb
Implicit degrees and Hamiltonian graph theory
Hao Li

21 September 2012, 10h30 - 21 September 2012, 11h30
Salle/Bat : 475/PCRI-N
Contact :

Activités de recherche :

Résumé :
Dirac showed in 1952 that every graph of order $n$ is Hamiltonian if any vertex is of degree at least n/2. In order to deal with the case that some vertices may have small degrees, Zhi, Li and Deng defined implicit degrees for a vertex v by using the degrees of vertices that has distance at most 2 from v and obtained sufficient conditions with implicit degrees for Hamiltonian problems in 1989. In this talk, we present new results on implicit degree conditions for Hamiltonicty, cyclable, pancyclic, etc.

This is a joint work with Junqing Cai and Wantao Ning

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