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Planar Quadratic Degree-Preserving Maps and Their Iteration

✍ Scribed by Xingwu Chen; Yongguo Shi; Weinian Zhang

Book ID
105764433
Publisher
Springer
Year
2009
Tongue
English
Weight
548 KB
Volume
55
Category
Article
ISSN
1422-6383

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## Abstract We improve some old results concerning the numbers of such edges and faces in planar graphs having minimal degree 5 which are incident only to vertices of minor degrees.

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Blanchard and Fabre (1994) have considered description of symbolic systems by sequences obtained by iteration of two mappings $1, and d,, defined by g,(u) = u[u], and L/, J u[u]:, m here the word [u], is obtained from a word u by removing the last ,j symbols. They stated a conjecture thal the itera