Space-Filling Curves of Self-Similar Sets (III): Skeletons

Publikationen: Beitrag in FachzeitschriftArtikelForschung(peer-reviewed)

Autoren

Externe Organisationseinheiten

  • Central China Normal University

Abstract

Skeleton is a new notion designed for constructing space-filling curves of self-similar
sets. In a previous paper by Dai and the authors [1], it was shown that for all connected
self-similar sets with a skeleton satisfying the open set condition, space-filling curves can be
constructed. In this paper, we give a criterion of existence of skeletons by using the so-called
neighbor graph of a self-similar set. In particular, we show that a connected self-similar set
satisfying the finite type condition always possesses skeletons: an algorithm is obtained here.

Details

OriginalspracheEnglisch
Aufsatznummer2050028
Seiten (von - bis)2050028-1
Seitenumfang2050028
FachzeitschriftFractals
Jahrgang28
Ausgabenummer1
DOIs
StatusVeröffentlicht - Mär 2020