Displaying similar documents to “Linear complementarity problem and extremal hyperplanes”

A two well Liouville theorem

Andrew Lorent (2005)

ESAIM: Control, Optimisation and Calculus of Variations

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In this paper we analyse the structure of approximate solutions to the compatible two well problem with the constraint that the surface energy of the solution is less than some fixed constant. We prove a quantitative estimate that can be seen as a two well analogue of the Liouville theorem of Friesecke James Müller. Let H = σ 0 0 σ - 1 for σ > 0 . Let 0 < ζ 1 < 1 < ζ 2 < ∞ . Let K : = S O 2 ∪ S O 2 H . Let u ∈ W 2 , 1 Q 1 0 be a C 1 invertible bilipschitz function with Lip u < ζ 2 , Lip u - 1 < ζ 1 - 1 . There exists positive constants 𝔠 1 < 1 and 𝔠 2 > 1 depending only on σ , ζ 1 , ζ 2 such that if ϵ ∈ 0 , 𝔠 1 and u ...

Multicoloured Hamilton cycles.

Albert, Michael, Frieze, Alan, Reed, Bruce (1995)

The Electronic Journal of Combinatorics [electronic only]

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Disjoint triangles and quadrilaterals in a graph

Hong Wang (2008)

Open Mathematics

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Let n, s and t be three integers with s ≥ 1, t ≥ 0 and n = 3s + 4t. Let G be a graph of order n such that the minimum degree of G is at least (n + s)/2. Then G contains a 2-factor with s + t components such that s of them are triangles and t of them are quadrilaterals.