Sufficient conditions for the minimum 2-distance colorability of plane graphs of girth 6.
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We discuss possible topological configurations of nodal sets, in particular the number of their components, for spherical harmonics on . We also construct a solution of the equation in that has only two nodal domains. This equation arises in the study of high energy eigenfunctions.
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In the present paper, we study a-Weyl's and a-Browder's theorem for an operator T such that T or T* satisfies the
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