| Title: | Corroborating a modification of the Wiener index |
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| Authors: | ID Gutman, Ivan (Author)
ID Žerovnik, Janez (Author) |
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| Files: |  Croatica_Chemica_Acta_2002_Gutman,_Zerovnik_Corroborating_a_modification_of_the_Wiener_index.pdf (85,05 KB)
MD5: ACEE68E1741E7646540AD01B3E8C200C
PID: 20.500.12556/dkum/fc4abbba-6079-43f1-8350-54ff1501cd15
 http://hrcak.srce.hr/127539
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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.03 - Other scientific articles |
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| Organization: | FS - Faculty of Mechanical Engineering
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| Abstract: | In a recent work [Chem. Phys. Lett. 333 (2001) 319-321] Nikolić, Trinajstić, and Randie put forward a novel modification ▫$^m$▫W of the Wiener index. We now show that ▫$^m$▫W possesses the basic properties required by a topological index to be acceptable as a measure of the extent of branching of the carbon-atom skeleton of the respective molecule (and therefore to be a structure-descriptor, potentially applicable in QSPR and QSAR studies). In particular, if ▫$T_n$▫ is any n-vertex tree, different from the n-vertex path ▫$P_n$▫ and the n-vertex star ▫$S_n$▫, then mw(Pn) < mW(Tn) < mW(Sn). We also show how the concept of the modified Wiener index can be extended to weighted molecular graphs. |
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| Keywords: | graph theory, distance, molecular graphs, modified Wiener index, weigted modified Wiener index, branching, chemical graph theory |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Year of publishing: | 2002 |
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| Number of pages: | str. 603-612 |
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| Numbering: | Letn. 75, št. 2 |
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| PID: | 20.500.12556/DKUM-66651  |
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| ISSN: | 0011-1643 |
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| UDC: | 519.17 |
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| ISSN on article: | 0011-1643 |
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| COBISS.SI-ID: | 7383318 |
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| NUK URN: | URN:SI:UM:DK:D1EHOXOG |
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| Publication date in DKUM: | 05.07.2017 |
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| Views: | 1349 |
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| Downloads: | 97 |
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| Metadata: |    |
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| Categories: | Misc.
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