| Naslov: | An asymptotic relation between the wirelength of an embedding and the Wiener index |
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| Avtorji: | ID Kumar, K. Jagadeesh (Avtor)
ID Klavžar, Sandi (Avtor)
ID Rajan, R. Sundara (Avtor)
ID Rajasingh, Indra (Avtor)
ID Rajalaxmi, T. M. (Avtor) |
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| Datoteke: |  Kumar-2021-An_asymptotic_relation_between_the.pdf (365,63 KB)
MD5: 621202A9CD656BBD2D699C107E0C85D6
 https://www.dmlett.com/journal-archive/v7/
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| Jezik: | Angleški jezik |
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| Vrsta gradiva: | Znanstveno delo |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: | FNM - Fakulteta za naravoslovje in matematiko
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| Opis: | 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. |
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| Ključne besede: | Wiener index, embedding, wirelength, complete 2p-partite graph, Cartesian product of graphs, integer labeling |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Poslano v recenzijo: | 14.06.2021 |
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| Datum sprejetja članka: | 16.07.2021 |
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| Datum objave: | 17.07.2021 |
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| Založnik: | National University of Computer and Emerging Science, University of Management and Technology, University of Management and Technology |
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| Leto izida: | 2021 |
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| Št. strani: | Str. 74-78 |
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| Številčenje: | Letn. 7 |
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| PID: | 20.500.12556/DKUM-90784  |
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| UDK: | 519.17 |
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| COBISS.SI-ID: | 70732035 |
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| DOI: | 10.47443/dml.2021.0063 |
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| ISSN pri članku: | 2664-2557 |
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| Datum objave v DKUM: | 23.09.2024 |
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| Število ogledov: | 127 |
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| Število prenosov: | 9 |
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| Metapodatki: |    |
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| Področja: | Ostalo
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