Reduction of Hamiltonian Systems, Affine Lie Algebras and Lax Equations II.
M. Semenov-Tian-Shansky, A.G. Reyman (1981)
Inventiones mathematicae
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Displaying similar documents to “Completely Integrable Hamiltonian Systems Connected with Semisimple Lie Algebras.”
Reduction of Hamiltonian Systems, Affine Lie Algebras and Lax Equations II.
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Jens-P. Bode, Anika Fricke, Arnfried Kemnitz (2015)
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In 1980 Bondy [2] proved that a (k+s)-connected graph of order n ≥ 3 is traceable (s = −1) or Hamiltonian (s = 0) or Hamiltonian-connected (s = 1) if the degree sum of every set of k+1 pairwise nonadjacent vertices is at least ((k+1)(n+s−1)+1)/2. It is shown in [1] that one can allow exceptional (k+ 1)-sets violating this condition and still implying the considered Hamiltonian property. In this note we generalize this result for s = −1 and s = 0 and graphs that fulfill a certain connectivity...