| Title: | The cube polynomial and its derivatives: the case of median graphs |
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| Authors: | Brešar, Boštjan (Author)
Klavžar, Sandi (Author)
Škrekovski, Riste (Author) |
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| Files: |  http://www.combinatorics.org/
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| Language: | English |
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| Work type: | Not categorized (r6) |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FERI - Faculty of Electrical Engineering and Computer Science |
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| Abstract: | Naj bo ▫$alpha_i(G)$▫ število induciranih ▫$i$▫-kock grafa ▫$G$▫. Tedaj je polinom kock ▫$c(G,x)$▫ grafa ▫$G$▫ definiran z ▫$sum_{i ge 0} alpha_i (G) x_i$▫. Pokazano je, da je vsaka funkcija ▫$f$▫ z dvemi predpisanimi naravnimi lastnostmi do faktorja ▫$f(Q_0,x)$▫ enaka polinomu kock. Vpeljan je tudi odvod ▫$partial G$▫ medianskega grafa ▫$G$▫. Dokazano je, da je polinom kock edina funkcija ▫$f$▫ z lastnostjo ▫$f'(G,z) = f(partial G,x)$▫, če je le ▫$f(G,0) = |V(G)|$▫. Dokazanih je tudi več relacij za medianske grafe, ki posplošujejo prej znane rezultate. Na primer, za vsak ▫$s ge 0$▫ velja ▫$c^{(s)}(G, x+1) = sum_{i ge s} frac{c^{(s)}(G,x)}{(i-s)!}$▫. |
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| Keywords: | matematika, teorija grafov, polinom kock, odvod grafa, medianski grafi, mathematics, graph theory, cube polynomials, graph derivation, median graphs |
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| Year of publishing: | 2003 |
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| Number of pages: | R3 (11 str.) |
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| Numbering: | Vol. 10, no. 1 |
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| UDC: | 519.17 |
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| ISSN on article: | 1077-8926 |
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| COBISS_ID: | 12165977  |
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| NUK URN: | URN:SI:UM:DK:5YNSNFQS |
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| Views: | 474 |
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| Downloads: | 27 |
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| Metadata: |     |
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| Categories: | Misc.
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