Colored Triangulations of Arbitrary Dimensions are Stuffed Walsh Maps
نویسندگان
چکیده
منابع مشابه
Colored Triangulations of Arbitrary Dimensions are Stuffed Walsh Maps
Regular edge-colored graphs encode colored triangulations of pseudo-manifolds. Here we study families of edge-colored graphs built from a finite but arbitrary set of building blocks, which extend the notion of p-angulations to arbitrary dimensions. We prove the existence of a bijection between any such family and some colored combinatorial maps which we call stuffed Walsh maps. Those maps gener...
متن کاملA Renormalization Group for Dynamical Triangulations in Arbitrary Dimensions
A block spin renormalization group approach is proposed for the dynamical triangulation formulation of quantum gravity in arbitrary dimensions. Renormalization group flow diagrams are presented for the three-dimensional and four-dimensional theories near their respective transitions. PACS numbers: 04.60.+n, 05.70.Jk, 11.10.Gh
متن کاملCounting Colored Random Triangulations
We revisit the problem of enumeration of vertex-tricolored planar random triangulations solved in [Nucl. Phys. B 516 [FS] (1998) 543-587] in the light of recent combinatorial developments relating classical planar graph counting problems to the enumeration of decorated trees. We give a direct combinatorial derivation of the associated counting function, involving tricolored trees. This is gener...
متن کاملArbitrary-Length Walsh-Jacket Transforms
Due to the efficiency in implementation, the Walsh (Hadamard) transform plays an important role in signal analysis and communication. Recently, Lee generalized the Walsh transform into the Jacket transform. Since the entries of the Jacket transform can be ±2, it is more flexible than the Walsh transform. Both the Walsh transform and the Jacket transform are defined for the case where the length...
متن کاملSurfaces over Arbitrary Triangulations
Recently in [7). a new multivariate B-spline scheme based on blending functions and control vertices was developed . This surface scheme allows CIo-1-continuous piecewise polynomial surfaces of degree k over arbitrary triangulations to be modelled . Actually, piecewise polynomial surfaces over a refined triangulation are produced given an arbitrary triangulation . The scheme exhibits both affin...
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: The Electronic Journal of Combinatorics
سال: 2017
ISSN: 1077-8926
DOI: 10.37236/5614