D-Index of Certain Ladder Graphs

For any two distinct vertices , of a connected graph , the -distance , in which the minimum is taken over all paths, and is the length of the path . The -index of is defined as . In this paper, we obtained a formula for -index or Wiener -index , where is the ladder graph, . Also, we obtained the Wiener -index and Wiener index of semi-Ladder graph .

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Publication Details

Journal
Journal of Al-Qadisiyah for Computer Science and Mathematics
Published
2024-09-30
DOI
https://doi.org/10.29304/jqcsm.2024.16.31668
Primary Topic
Graph Labeling and Dimension Problems
Type
article
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article

D-Index of Certain Ladder Graphs

Gashaw A. Mohammed Saleh
Journal of Al-Qadisiyah for Computer Science and Mathematics
Graph Labeling and Dimension Problems
article

D-Index of Certain Ladder Graphs

Gashaw A. Mohammed Saleh
article en

Abstract

For any two distinct vertices , of a connected graph , the -distance , in which the minimum is taken over all paths, and is the length of the path . The -index of is defined as . In this paper, we obtained a formula for -index or Wiener -index , where is the ladder graph, . Also, we obtained the Wiener -index and Wiener index of semi-Ladder graph .

Journal of Al-Qadisiyah for Computer Science and MathematicsVol. 16(3)
Salahaddin University-Erbil (IQ)
Openalex Percentile: Top 79%
Graph Labeling and Dimension Problems
DOIOpen Access PDFOpenAlex
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D-Index of Certain Ladder Graphs — Gashaw A. Mohammed Saleh · Journal of Al-Qadisiyah for Computer Science and Mathematics (2024) | TGRS Research Map | TGRS