Average geodesic distance of skeleton networks of Sierpinski tetrahedron

Jinjin Yang, Songjing Wang, Lifeng Xi and Yongchao Ye

Physica A: Statistical Mechanics and its Applications, 2018, vol. 495, issue C, 269-277

Abstract: The average distance is concerned in the research of complex networks and is related to Wiener sum which is a topological invariant in chemical graph theory. In this paper, we study the skeleton networks of the Sierpinski tetrahedron, an important self-similar fractal, and obtain their asymptotic formula for average distances. To provide the formula, we develop some technique named finite patterns of integral of geodesic distance on self-similar measure for the Sierpinski tetrahedron.

Keywords: Fractal network; Average distance; Sierpinski tetrahedron; Self-similar measure; Finite pattern (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:495:y:2018:i:c:p:269-277

DOI: 10.1016/j.physa.2017.12.051

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