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71.
A classification of connected vertex‐transitive cubic graphs of square‐free order is provided. It is shown that such graphs are well‐characterized metacirculants (including dihedrants, generalized Petersen graphs, Möbius bands), or Tutte's 8‐cage, or graphs arisen from simple groups PSL(2, p). 相似文献
72.
Sanming Zhou 《Journal of Graph Theory》2014,75(1):37-47
Unitary graphs are arc‐transitive graphs with vertices the flags of Hermitian unitals and edges defined by certain elements of the underlying finite fields. They played a significant role in a recent classification of a class of arc‐transitive graphs that admit an automorphism group acting imprimitively on the vertices. In this article, we prove that all unitary graphs are connected of diameter two and girth three. Based on this, we obtain, for any prime power , a lower bound of order on the maximum number of vertices in an arc‐transitive graph of degree and diameter two. 相似文献
73.
We consider the 1D Dirac operator on the half-line with compactly supported potentials. We study resonances as the poles of scattering matrix or equivalently as the zeros of modified Fredholm determinant. We obtain the following properties of the resonances: (1) asymptotics of counting function, (2) estimates on the resonances and the forbidden domain. 相似文献
74.
文献[1,2]中对一道美国大学生数学竞赛题通过设定函数利用插值的方法进行了证明,本文根据问题的特点,给出另外的证明,用同一方法还对另一行列式问题给出一般求解公式. 相似文献
75.
构造了一个对称正定矩阵,矩阵元素与组合数有关,讨论了该矩阵的一些性质.根据MATLAB数值计算的结果,提出了该矩阵有关特征值性质的一些猜想. 相似文献
76.
77.
For a system of smooth Jordan curves and arcs asymptotics for Christoffel functions is established. A separate new method is developed to handle the upper and lower estimates. In the course to the upper bound a theorem of Widom on the norm of Chebyshev polynomials is generalized. 相似文献
78.
When fitting parametric polynomial curves to sequences of points or derivatives we have to choose suitable parameter values
at the interpolation points. This paper investigates the effect of the parameterization on the approximation order of the
interpolation. We show that chord length parameter values yield full approximation order when the polynomial degree is at
most three. We obtain full approximation order for arbitrary degree by developing an algorithm which generates more and more
accurate approximations to arc length: the lengths of the segments of an interpolant of one degree provide parameter intervals
for interpolants of degree two higher. The algorithm can also be used to estimate the length of a curve and its arc-length
derivatives.
AMS subject classification (2000) 65D05, 65D10 相似文献
79.
Guo-Dong LinYi-Tian Gao Zhi-Yuan SunXin Yu De-Xin Meng 《Applied mathematics and computation》2011,217(9):4805-4811
Under investigation in this paper is a variable-coefficient variant Boussinesq (vcvB) model for the nonlinear and dispersive long gravity waves in shallow water traveling in two horizontal directions with varying depth. Connection between the vcvB model and a variable-coefficient Ablowitz-Kaup-Newell-Segur system is revealed under certain constraints with the help of the symbolic computation. Multi-solitonic solutions in terms of the double Wronskian determinant for the vcvB model are derived. Interactions among the vcvB-solitons are discussed. A novel dynamic property is observed, i.e., the coexistence of elastic-inelastic-interactions. 相似文献
80.