| Title: | The cut method on hypergraphs for the Wiener index |
|---|
| Authors: | ID Klavžar, Sandi (Author)
ID Romih, Gašper Domen (Author) |
|---|
| Files: |  URL - Source URL, visit https://link.springer.com/article/10.1007/s10910-023-01478-4
 PDF - Presentation file, download (318,45 KB)
MD5: F388B6B033F23BE23F635C15D1FED0E2
|
|---|
| Language: | English |
|---|
| Typology: | 1.01 - Original Scientific Article |
|---|
| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
|
|---|
| Abstract: | The cut method has been proved to be extremely useful in chemical graph theory. In this paper the cut method is extended to hypergraphs. More precisely, the method is developed for the Wiener index of $k$-uniform partial cube-hypergraphs. The method is applied to cube-hypergraphs and hypertrees. Extensions of the method to hypergraphs arising in chemistry which are not necessary $k$-uniform and/or not necessary linear are also developed. |
|---|
| Keywords: | hypergraphs, Wiener index, cut method, partial cube-hypergraphs, hypertrees, phenylene, Clar structures |
|---|
| Publication status: | Published |
|---|
| Publication version: | Version of Record |
|---|
| Publication date: | 01.08.2023 |
|---|
| Year of publishing: | 2023 |
|---|
| Number of pages: | str. 1592-1603 |
|---|
| Numbering: | Vol. 61, iss. 7 |
|---|
| PID: | 20.500.12556/DiRROS-18409  |
|---|
| UDC: | 519.17 |
|---|
| ISSN on article: | 0259-9791 |
|---|
| DOI: | 10.1007/s10910-023-01478-4 |
|---|
| COBISS.SI-ID: | 188914947 |
|---|
| Note: | Spletna objava: 26. 4. 2023;
|
|---|
| Publication date in DiRROS: | 15.03.2024 |
|---|
| Views: | 607 |
|---|
| Downloads: | 238 |
|---|
| Metadata: |    |
|---|
|
:
|
Copy citation |
|---|
| | | | Share: |  |
|---|
Hover the mouse pointer over a document title to show the abstract or click
on the title to get all document metadata. |
