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Roots of cube polynomials of median graphsBrešar, Boštjan ; Klavžar, Sandi ; Škrekovski, RistePolinom 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 ▫$H$▫.Source: Journal of graph theory. - ISSN 0364-9024 (Vol. 52, no. 1, 2006, str. 37-50)Type of material - article, component partPublish date - 2006Language - englishCOBISS.SI-ID - 13960537
Author
Brešar, Boštjan |
Klavžar, Sandi |
Škrekovski, Riste
Topics
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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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Brešar, Boštjan | 17005 |
Klavžar, Sandi | 05949 |
Škrekovski, Riste | 15518 |
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