SUBDIVISION

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A polynomial resultant approach to algebraic constructions of extremal graphs
《Science China Mathematics》2025年第2期485-506,共22页Tao Zhang Zixiang Xu Gennian Ge 
supported by the Institute for Basic Science(IBS-R029-C4);supported by the National Key Research and Development Program of China(Grant No.2020YFA0712100);National Natural Science Foundation of China(Grant No.12231014);Beijing Scholars Program。
The Turán problem asks for the largest number of edges ex(n,H)in an n-vertex graph not containing a fixed forbidden subgraph H,which is one of the most important problems in extremal graph theory.However,the order of...
关键词：Turan number RESULTANT algebraic construction SUBDIVISION Berge theta hypergraph 
Expansion properties for finite subdivision rules I Dedicated to the Memories of William P. Thurston and Lei Tan
《Science China Mathematics》2018年第12期2237-2266,共30页William J.Floyd Walter R.Parry Kevin M.Pilgrim 
supported by Simons Foundation Collaboration Grants for Mathematicians (Grant No. 245269)
Among Thurston maps (orientation-preserving, postcritically finite branched coverings of the 2-sphere to itself), those that arise as subdivision maps of a finite subdivision rule form a special family. For such maps,...
关键词：FINITE SUBDIVISION rule expanding MAP postcritically FINITE Thurston MAP 
Multivariate refinement equation with nonnegative masks
《Science China Mathematics》2006年第4期439-450,共12页LI Song & ZHOU Xinlong Department of Mathematics, Zhejiang University, Hangzhou 310027, China Instititute of Mathematics, University of Duisburg-Essen, D-47057, Duisburg, Germany 
supported by National Natural Science Foundation of China(Grant Nos.10071071&10471123).
This paper is concerned with multivariate refinement equations of the type where (?) is the unknown function defined on the s-dimensional Euclidean space Rs, a is a finitely supported nonnegative sequence on Zs, and M...
关键词：NONNEGATIVE mask  SUBDIVISION schemes  MULTIVARIATE REFINEMENT equation. 
The independence of initial vectors in the subdivision schemes
《Science China Mathematics》2002年第11期1439-1445,共7页陈迪荣 李落清 
This work was supported by the National Natural Science Foundation of China(Grant No.10171007).
Starting with an initial vector λ=(λ(k)) k∈? ∈ ?p(?), the subdivision scheme generates a sequence (S a n λ) n=1 ∞ of vectors by the subdivision operator $$S_a \lambda (k) = \sum\limits_{j \in \mathbb{Z}} {\lambd...
关键词：SUBDIVISION scheme  joint spectral radius  critical exponent. 
A fast ray tracing algorithm based on adaptive space subdivision
《Science China Mathematics》1995年第4期490-498,共9页鲍虎军 彭群生 
Project supported by the National Natural Science Foundation of China.
A new fast ray tracing algorithm based on adaptive space subdivision is presented. Unlike the conventional octree and 3DDDA algorithms, the new algorithm subdivides the object space nonuniformly with the division plan...
关键词：RAY TRACING SPACE SUBDIVISION BINARY tree. 
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