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Large stars with few colors
Ramsey numbers Edge coloring Combinatorics
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2012/7/11
A recent question in generalized Ramsey theory is that for fixed positive integers $s\leq t$, at least how many vertices can be covered by the vertices of no more than $s$ monochromatic members of the...
Pretty good state transfer on double stars
double stars state transfer Combinatorics
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2012/6/9
Let A be the adjacency matrix of a graph $X$ and suppose U(t)=exp(itA). We view A as acting on $\cx^{V(X)}$ and take the standard basis of this space to be the vectors $e_u$ for $u$ in $V(X)$. Physici...
Blowup for the C^1 Solutions of the Euler-Poisson Equations of Gaseous Stars in R^N
C^1 Solutions Euler-Poisson Equations Gaseous Stars
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2011/2/25
The Newtonian Euler-Poisson equations with attractive forces are the classical models for
the evolution of gaseous stars and galaxies in astrophysics. In this paper, we use the integration method to ...
THE RAMSEY NUMBERS FOR STARS AND STRIPES
rm Ramsey number Stars Stripes
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2009/10/22
Let Σ=Σ_{i=1}^{t}(n_i-1) and Λ=Σ_{j=1}^s(m_j-1). This paper considers the generalized Ramsey number R(K_{1,n_1},…, K_{1,n_t},m_1K_2,…, m_sK_2) for any Σ and Λ. And the authors get their exact values i...