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A lower bound for eigenvalues of the poly-Laplacian with arbitrary order
the eigenvalue problem a lower bound for eigenvalues
2011/1/21
In this paper, we study eigenvalues of the poly-Laplacian with arbitrary order on a bounded domain in an n-dimensional Euclidean space and obtain a lower bound for eigenvalues, which gives an importan...
A TIGHT LOWER BOUND ON THE MAXIMUM GENUS OF 3-EDGE CONNECTED LOOPLESS GRAPHS
Maximum genus 3-edge connect
2007/12/10
It is shown that the lower bound on the maximum genus of a 3-edge connected loopless graph is at least one-third of its cycle rank. Moreover, this lower bound is tight. There are infinitely such graph...