| Title: | The Hosoya-Wiener polynomial of weighted trees |
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| Authors: | ID Zmazek, Blaž (Author)
ID Žerovnik, Janez (Author) |
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| Files: |  Croatica_Chemica_Acta_2007_Zmazek,_Zerovnik_The_Hosoya-Wiener_polynomial_of_weighted_trees.pdf (182,69 KB)
MD5: 1FBD1DCB9EBAA39D3D3DDC9E2A4852F9
PID: 20.500.12556/dkum/3cfeba95-c825-4f1d-9ad0-fdd557085191
 http://hrcak.srce.hr/12827
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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FS - Faculty of Mechanical Engineering
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| Abstract: | Formulas for the Wiener number and the Hosoya-Wiener polynomial of edge and vertex weighted graphs are given in terms of edge and path contributions. For a rooted tree, the Hosoya-Wiener polynomial is expressed as a sum of vertex contributions. Finally, a recursive formula for computing the Hosoya-Wiener polynomial of a weighted tree is given. |
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| Keywords: | mathematics, graph theory, Hosoya-Wiener polynomial, weighted tree, vertex weighted graphs |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Year of publishing: | 2007 |
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| Number of pages: | str. 75-80 |
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| Numbering: | Letn. 80, št. 1 |
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| PID: | 20.500.12556/DKUM-66671  |
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| ISSN: | 0011-1643 |
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| UDC: | 519.17:54 |
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| ISSN on article: | 0011-1643 |
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| COBISS.SI-ID: | 11338518 |
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| NUK URN: | URN:SI:UM:DK:GU4IZXYD |
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| Publication date in DKUM: | 05.07.2017 |
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| Views: | 1561 |
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| Downloads: | 131 |
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| Metadata: |    |
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| Categories: | Misc.
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