Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10335902 | Computer Aided Geometric Design | 2013 | 11 Pages |
Abstract
⺠This paper studies extremum problems for eigenvalues of the discrete Laplace operators. ⺠Among all triangles, an equilateral triangle has the maximal first positive eigenvalue. ⺠Among all cyclic quadrilaterals, a square has the maximal first positive eigenvalue. ⺠Among all cyclic n-gons, a regular one has the minimum of the sum and the product of nontrivial eigenvalues.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design
Authors
Ren Guo,