| Title: | Roots of cube polynomials of median graphs |
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| Authors: | ID Brešar, Boštjan (Author)
ID Klavžar, Sandi (Author)
ID Škrekovski, Riste (Author) |
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| Files: |  http://dx.doi.org/10.1002/jgt.20146
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| Language: | English |
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| Work type: | Not categorized |
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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: | Polinom kock ▫$c(G,x)$▫ grafa ▫$G$▫ je definiran z ▫$sum_{i ge 0}alpha_i(G)x^i$▫, kjer ▫$alpha_i(G)$▫ označuje število induciranih ▫$i$▫-kock v ▫$G$▫. Naj bo ▫$G$▫ medianski graf. Dokazano je, da je vsaka racionalna ničla polinoma ▫$c(G,x)$▫ oblike ▫$-frac{t+1}{t}$▫ za neko celo število ▫$t>0$▫ in da ima ▫$c(G,x)$▫ vedno realno ničlo na intervalu ▫$[-2,-1)$▫. Nadalje ima ▫$c(G,x)$▫ ▫$p$▫-kratno ničlo natanko tedaj, ko je ▫$G$▫ kartezični produkt ▫$p$▫ dreves istega reda. Grafi acikličnih kubičnih kompleksov so karakterizirani kot grafi za katere velja ▫$c(H,-2)=0$▫ za vsak 2-povezan konveksen podgraf ▫$H$▫. |
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| Keywords: | matematika, teorija grafov, polinom kock, koren, medianski graf, kartezični produkt grafov, mathematics, graph theory, cube polynomial, root, median graph, Cartesian product |
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| Year of publishing: | 2006 |
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| Number of pages: | str. 37-50 |
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| Numbering: | Vol. 52, no. 1 |
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| PID: | 20.500.12556/DKUM-51516  |
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| UDC: | 519.17 |
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| ISSN on article: | 0364-9024 |
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| COBISS.SI-ID: | 13960537 |
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| NUK URN: | URN:SI:UM:DK:EZV3XXZT |
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| Publication date in DKUM: | 10.07.2015 |
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| Views: | 1635 |
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| Downloads: | 98 |
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| Metadata: |    |
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| Categories: | Misc.
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