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Vertex minimal planar cyclic graphsMarušič, DraganNaj bosta ▫$c(k)$▫, ▫$c^\ast (k)$▫ reda (po točkah) najmanjšega planarnega (planarnega povezanega) grafa s ciklično grupo (reda ▫$k$▫) avtomorfizmov. Če je ▫$k$▫ liho število in če je ... ▫$k=p_1^{\alpha_1}\ldots p_1^{\alpha_r}$▫, (▫$p_1$▫,...,▫$p_r$▫ so praštevila), potem je ▫$c(k)=3\sum_{i=1}^{r}p_i^{\alpha_i}$▫ in ▫$c^\ast (k)=c(k)$▫ za ▫$r=1$▫ ter ▫$c^\ast (k)=c(k)+1$▫ za ▫$r>1$▫. Postavljena je domneva, da podoben rezultat velja za soda števila ▫$k$▫.Source: Publikacije Elektrotehničkog fakulteta Univerziteta u Beogradu. Serija:, Matematika i fizika = Publications de la Faculté d'Elecrotechnique de l'Université a Belgrade. Series:, Mathematiques et physique. - ISSN 0522-8441 (Št. 678-715, 1980, str. l6l-l69)Type of material - article, component partPublish date - 1980Language - englishCOBISS.SI-ID - 5070169
Author
Marušič, Dragan
Topics
matematika |
teorija grafov |
teorija grup |
graf |
planarnost |
ciklična grupa |
mathematics |
graph theory |
group theory |
graphs |
planarity |
cyclic group
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Marušič, Dragan | 02887 |
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