| Naslov: | Altered Wiener indices |
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| Avtorji: | ID Vukičević, Damir (Avtor)
ID Žerovnik, Janez (Avtor) |
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| Datoteke: |  Acta_Chimica_Slovenica_2005_Vukicevic,_Zerovnik_Altered_Wiener_indices.pdf (991,46 KB)
MD5: FF0DC1E906D57B7B7E47A6B564EC003F
PID: 20.500.12556/dkum/ed676b34-d981-4cb2-b2e3-70790f465af2
 http://acta-arhiv.chem-soc.si/52/52-3-272.pdf
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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: | FS - Fakulteta za strojništvo
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| Opis: | Recently Nikolić, Trinajstić and Randić put forward a novel modification mW(G) of the Wiener number W(G), called modified Wiener index, which definition was generalized later by Gutman and the present authors. Here we study another class of modified indices defined as Wmin,λ(G)=∑(V(G)λmG(u,ν)λ−mG(u,ν)2λ) and show that some of the important properties of W(G), mW(G) and λW(G) are also properties of Wmin,λ(G), valid for most values of the parameter λ. In particular, if Tn is any n-vertex tree, different from the n-vertex path Pn and the n-vertex star Sn, then for any λ ≥ 1 or λ < 0, Wmin,λ(Pn)>Wmin,λ(Tn)>Wmin,λ(Sn). Thus for these values of the parameter λ, Wmin,λ(G) provides a novel class of structure-descriptors, suitable for modeling branching-dependent properties of organic compounds, applicable in QSPR and QSAR studies. We also demonstrate that if trees are ordered with regard to Wmin,λ(G) then, in the general case, this ordering is different for different λ. |
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| Ključne besede: | mathematics, chemical graph theory, Wiener index, modified Wiener index |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Leto izida: | 2005 |
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| Št. strani: | str. 272-281 |
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| Številčenje: | Letn. 52, št. 3 |
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| PID: | 20.500.12556/DKUM-67412  |
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| ISSN: | 1318-0207 |
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| UDK: | 519.17:54 |
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| COBISS.SI-ID: | 9929238 |
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| ISSN pri članku: | 1318-0207 |
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| NUK URN: | URN:SI:UM:DK:3UGNDLNW |
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| Datum objave v DKUM: | 17.08.2017 |
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| Število ogledov: | 1227 |
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| Število prenosov: | 126 |
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| Metapodatki: |    |
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| Področja: | Ostalo
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VUKIČEVIĆ, Damir in ŽEROVNIK, Janez, 2005, Altered Wiener indices. Acta Chimica Slovenica [na spletu]. 2005. Vol. 52, no. 3, p. 272–281. [Dostopano 27 april 2025]. Pridobljeno s: https://dk.um.si/IzpisGradiva.php?lang=slv&id=67412
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| | | | Skupna ocena: | (0 glasov) |
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| Vaša ocena: | Ocenjevanje je dovoljeno samo prijavljenim uporabnikom. |
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| Objavi na: |  |
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Podobna dela iz repozitorija: - A class of modified Wiener indices
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- Gutman, Ivan(YU-KRASC); Toropov, Andrey A.; Toropova, Alla P.: The graph of atomic orbitals and its basic properties. I. Wiener index. (English summary). - MATCH Commun. Math. Comput. Chem. 53 (2005), no. 1, 215--224.
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