| Title: | An asymptotic relation between the wirelength of an embedding and the Wiener index |
|---|
| Authors: | ID Kumar, K. Jagadeesh (Author)
ID Klavžar, Sandi (Author)
ID Rajan, R. Sundara (Author)
ID Rajasingh, Indra (Author)
ID Rajalaxmi, T. M. (Author) |
|---|
| Files: |  Kumar-2021-An_asymptotic_relation_between_the.pdf (365,63 KB)
MD5: 621202A9CD656BBD2D699C107E0C85D6
 https://www.dmlett.com/journal-archive/v7/
|
|---|
| Language: | English |
|---|
| Work type: | Scientific work |
|---|
| Typology: | 1.01 - Original Scientific Article |
|---|
| Organization: | FNM - Faculty of Natural Sciences and Mathematics
|
|---|
| Abstract: | Wirelength is an important criterion to validate the quality of an embedding of a graph into a host graph and is used in particular in VLSI (Very-Large-Scale Integration) layout designs. Wiener index plays a significant role in mathematical chemistry, cheminformatics, and elsewhere. In this note these two concepts are related by proving that the Wiener index of a host graph is an upper bound for the wirelength of a given embedding. The wirelength of embedding complete ▫$2^p$▫-partite graphs into Cartesian products of paths and/or cycles as the function of the Wiener index is determined. The result is an asymptotic approximation of the general upper bound. |
|---|
| Keywords: | Wiener index, embedding, wirelength, complete 2p-partite graph, Cartesian product of graphs, integer labeling |
|---|
| Publication status: | Published |
|---|
| Publication version: | Version of Record |
|---|
| Submitted for review: | 14.06.2021 |
|---|
| Article acceptance date: | 16.07.2021 |
|---|
| Publication date: | 17.07.2021 |
|---|
| Publisher: | National University of Computer and Emerging Science, University of Management and Technology, University of Management and Technology |
|---|
| Year of publishing: | 2021 |
|---|
| Number of pages: | Str. 74-78 |
|---|
| Numbering: | Letn. 7 |
|---|
| PID: | 20.500.12556/DKUM-90784  |
|---|
| UDC: | 519.17 |
|---|
| ISSN on article: | 2664-2557 |
|---|
| COBISS.SI-ID: | 70732035 |
|---|
| DOI: | 10.47443/dml.2021.0063 |
|---|
| Publication date in DKUM: | 23.09.2024 |
|---|
| Views: | 0 |
|---|
| Downloads: | 3 |
|---|
| Metadata: |    |
|---|
| Categories: | Misc.
|
|---|
|
:
|
Copy citation |
|---|
| | | | Average score: | (0 votes) |
|---|
| Your score: | Voting is allowed only for logged in users. |
|---|
| Share: |  |
|---|
Hover the mouse pointer over a document title to show the abstract or click
on the title to get all document metadata. |
