On variants of Arnold conjecture

Roman Golovko

Displaying similar documents to “On variants of Arnold conjecture”

On the construction of a $C^{2}$ -counterexample to the Hamiltonian Seifert conjecture in $ℝ^{4}$ .

Ginzburg, Viktor L., Gürel, Basak Z. (2002)

Electronic Research Announcements of the American Mathematical Society [electronic only]

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Commutativity of flows and injectivity of nonsingular mappings

M. Sabatini (2001)

Annales Polonici Mathematici

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A relationship between jacobian maps and the commutativity properties of suitable couples of hamiltonian vector fields is studied. A theorem by Meisters and Olech is extended to the nonpolynomial case. A property implying the Jacobian Conjecture in ℝ² is described.

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Chvátal-Erdös type theorems

Jill R. Faudree, Ralph J. Faudree, Ronald J. Gould, Michael S. Jacobson, Colton Magnant (2010)

Discussiones Mathematicae Graph Theory

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The Chvátal-Erdös theorems imply that if G is a graph of order n ≥ 3 with κ(G) ≥ α(G), then G is hamiltonian, and if κ(G) > α(G), then G is hamiltonian-connected. We generalize these results by replacing the connectivity and independence number conditions with a weaker minimum degree and independence number condition in the presence of sufficient connectivity. More specifically, it is noted that if G is a graph of order n and k ≥ 2 is a positive integer such that κ(G) ≥ k, δ(G) >...

The Birkhoff-Lewis Fixed Point Theorem and a Conjecture of V.I. Arnold.

C.C. Conley, E. Zehnder (1983)

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A note on Format's conjecture

K. Inkeri (1976)

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A proof of a conjecture of Knuth.

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An update on a few permanent conjectures

Fuzhen Zhang (2016)

Special Matrices

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We review and update on a few conjectures concerning matrix permanent that are easily stated, understood, and accessible to general math audience. They are: Soules permanent-on-top conjecture†, Lieb permanent dominance conjecture, Bapat and Sunder conjecture† on Hadamard product and diagonal entries, Chollet conjecture on Hadamard product, Marcus conjecture on permanent of permanents, and several other conjectures. Some of these conjectures are recently settled; some are still open.We...