Distances in Sierpiński graphs and on the Sierpiński gasket

DOI10.1007/s00010-013-0197-7zbMath1275.28007OpenAlexW2093416831MaRDI QIDQ2375905

Bertran Steinsky, Ligia Loreta Cristea

Publication date: 25 June 2013

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-013-0197-7

zbMATH Keywords

Sierpiński gasketfractalgeodesic distanceHanoi graphSierpiński graph

Mathematics Subject Classification ID

Fractals (28A80) Distance in graphs (05C12)

Related Items (13)

Unnamed Item ⋮ Metric properties of Sierpiński triangle graphs ⋮ GEODESICS IN THE SIERPINSKI CARPET AND MENGER SPONGE ⋮ INHERENT FEATURES OF FRACTAL SETS AND KEY ATTRIBUTES OF FRACTAL MODELS ⋮ Sharp bounds on certain degree based topological indices for generalized Sierpiński graphs ⋮ An efficient algorithm to determine all shortest paths in Sierpiński graphs ⋮ The intrinsic metric formula and a chaotic dynamical system on the code set of the Sierpinski tetrahedron ⋮ An explicit formula of the intrinsic metric on the Sierpinski gasket via code representation ⋮ Geodesic interpolation on Sierpiński gaskets ⋮ GEODESICS OF THE SIERPINSKI GASKET ⋮ The formulization of the intrinsic metric on the added Sierpinski triangle by using the code representations ⋮ The intrinsic metric on the box fractal ⋮ Intrinsic metrics on Sierpinski-like triangles and their geometric properties

Cites Work

• Vertex-, edge-, and total-colorings of Sierpiński-like graphs
• Brownian motion on the Sierpinski gasket
• Shortest paths between regular states of the Tower of Hanoi
• The average distance on the Sierpiński gasket
• Equidistribution and Brownian motion on the Sierpiński gasket
• The tower of Hanoi
• Isoperimetric Estimates on Sierpinski Gasket Type Fractals
• Shortest Paths in the Tower of Hanoi Graph and Finite Automata
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