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C O ] 3 0 A ug 2 01 7 Some Topological Invariants of Generalized Möbius Ladder
| Content Provider | Semantic Scholar |
|---|---|
| Author | Amin, Numan Nizami, Abdul Rauf Idrees, M. |
| Copyright Year | 2018 |
| Abstract | The Hosoya polynomial of a graph G was introduced by H. Hosoya in 1988 as a counting polynomial, which actually counts the number of distances of paths of different lengths in G. The most interesting application of the Hosoya polynomial is that almost all distancebased graph invariants, which are used to predict physical, chemical and pharmacological properties of organic molecules, can be recovered from it. In this article we give the general closed form of the Hosoya polynomial of the generalized Möbius ladder M(m,n) for arbitrary m and for n = 3. Moreover, we recover Wiener, hyper Wiener, Tratch-StankevitchZefirov, and Harary indices from it. Subject Classification (2010). 05C12, 05C31 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv-export-lb.library.cornell.edu/pdf/1708.09260 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |