EDGE-WIENER INDEX OF LEVEL-4 SIERPINSKI SKELETON NETWORK

We study the edge-Wiener index of the rank-[Formula: see text] skeleton networks associated with the level-4 Sierpinski triangle. Recursive relations are derived for the count of each pattern, and an explicit formula is obtained for the edge-Wiener index of the level-4 Sierpinski skeleton networks. Our result shows that the finite-pattern method remains effective for exact edge-distance computations on higher-order self-similar networks.

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Publication Details

Journal
Fractals
Published
2026-04-13
DOI
https://doi.org/10.1142/s0218348x2650091x
Primary Topic
Graph theory and applications
Type
article
Field-Weighted Citation Impact
0.00

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article

EDGE-WIENER INDEX OF LEVEL-4 SIERPINSKI SKELETON NETWORK

KAI ZHANG, Yuefang Wang, Qin Wang, Xinshu Zhang
Fractals
Graph theory and applications
article

EDGE-WIENER INDEX OF LEVEL-4 SIERPINSKI SKELETON NETWORK

KAI ZHANG, Yuefang Wang, Qin Wang, Xinshu Zhang
article en

Abstract

We study the edge-Wiener index of the rank-[Formula: see text] skeleton networks associated with the level-4 Sierpinski triangle. Recursive relations are derived for the count of each pattern, and an explicit formula is obtained for the edge-Wiener index of the level-4 Sierpinski skeleton networks. Our result shows that the finite-pattern method remains effective for exact edge-distance computations on higher-order self-similar networks.

Fractals
Ningbo University (CN), Zhejiang Wanli University (CN)
National Natural Science Foundation of China
Openalex Percentile: Top 19%
Graph theory and applications
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