Normalized Laplace operators for hypergraphs with real coefficients
نویسندگان
چکیده
Chemical hypergraphs and their associated normalized Laplace operators are generalized studied in the case where each vertex--hyperedge incidence has a real coefficient. We systematically study effect of symmetries hypergraph on spectrum Laplacian.
منابع مشابه
Initial coefficients of starlike functions with real coefficients
The sharp bounds for the third and fourth coefficients of Ma-Minda starlike functions having fixed second coefficient are determined. These results are proved by using certain constraint coefficient problem for functions with positive real part whose coefficients are real and the first coefficient is kept fixed. Analogous results are obtained for a general class of close-to-convex functions
متن کاملAnisotropic Laplace-Beltrami Operators for Shape Analysis
This paper introduces an anisotropic Laplace-Beltrami operator for shape analysis. While keeping useful properties of the standard Laplace-Beltrami operator, it introduces variability in the directions of principal curvature, giving rise to a more intuitive and semantically meaningful diffusion process. Although the benefits of anisotropic diffusion have already been noted in the area of mesh p...
متن کاملImaginary Powers of Laplace Operators
We show that if L is a second-order uniformly elliptic operator in divergence form on R, then C1(1+ |α|) ≤ ‖L‖L1→L1,∞ ≤ C2(1+ |α|). We also prove that the upper bounds remain true for any operator with the finite speed propagation property.
متن کاملSurface Deformation by Normalized Operators
In order to get an optimal use of all the interesting features for free-form mod-eling provided by sophisticated geometric models (Bezier, B-Spline, NURBS), we propose a deformation technique based on the concept of normalized operators. Such an operator can be viewed as a black-box which encloses | and hides to the user | the high number and the complexity of the parameters involved during a d...
متن کاملSturm–liouville Operators with Measure-valued Coefficients
We give a comprehensive treatment of Sturm–Liouville operators whose coefficients are measures including a full discussion of self-adjoint extensions and boundary conditions, resolvents, and Weyl–Titchmarsh–Kodaira theory. We avoid previous technical restrictions and, at the same time, extend all results to a larger class of operators. Our operators include classical Sturm– Liouville operators,...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Complex Networks
سال: 2021
ISSN: ['2051-1310', '2051-1329']
DOI: https://doi.org/10.1093/comnet/cnab009