| Title: | How to compute the M-polynomial of (chemical) graphs |
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| Authors: | ID Deutsch, Emeric (Author)
ID Klavžar, Sandi (Author)
ID Romih, Gašper Domen (Author) |
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| Files: |  PDF - Presentation file, download (376,13 KB)
MD5: 3A5B06CB7C71FF9D99E8D79ED6FD0E35
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
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| Abstract: | Let $G$ be a graph and let $m_{i,j}(G)$, $i,j\ge 1$, be the number of edges $uv$ of ▫$G$▫ such that $\{d_v(G), d_u(G)\} = \{i,j\}$. The M-polynomial of $G$ is $M(G;x,y) = \sum_{i\le j} m_{i,j}(G)x^iy^j$. A general method for calculating the M-polynomials for arbitrary graph families is presented. The method is further developed for the case where the vertices of a graph have degrees 2 and $p$, where $p\ge 3$, and further for such planar graphs. The method is illustrated on families of chemical graphs. |
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| Keywords: | M-polynomial, chemical graph, planar graph |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.01.2023 |
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| Year of publishing: | 2023 |
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| Number of pages: | str. 275-285 |
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| Numbering: | Vol. 89, no. 2 |
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| PID: | 20.500.12556/DiRROS-18447  |
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| UDC: | 519.17:54 |
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| ISSN on article: | 0340-6253 |
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| DOI: | 10.46793/match.89-2.275D |
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| COBISS.SI-ID: | 118666243 |
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| Publication date in DiRROS: | 18.03.2024 |
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| Views: | 106 |
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| Downloads: | 38 |
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