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Regular maps with nilpotent automorphism groups
Názov Regular maps with nilpotent automorphism groups Aut.údaje Aleksander Malnic, Roman Nedela, Martin Škoviera Autor Malnič Aleksander (34%)
Spoluautori Nedela Roman 1960- (33%) UMBFP12 - Inštitút matematiky a informatiky
Škoviera Martin (33%)
Zdroj.dok. European Journal of Combinatorics. Vol. 33, no. 8 (2012), pp. 1974-1986. - London : Academic Press, 2012 Kľúč.slová matematika - mathematics grafy - charts - graphs regulárne mapy regular maps Jazyk dok. angličtina Krajina Veľká Británia Systematika 51 Anotácia We study regular maps with nilpotent automorphism groups in detail. We prove that every nilpotent regular map decomposes into a direct product of maps H x K, where Aut (H) is a 2-group and K is a map with a single vertex and an odd number of semiedges. Many important properties of nilpotent maps follow from this canonical decomposition, including restrictions on the valency, covalency, and the number of edges. We also show that, apart from two well-defined classes of maps on at most two vertices and their duals, every nilpotent regular map has both its valency and covalency divisible by 4. Finally, we give a complete classification of nilpotent regular maps of nilpotency class 2. Kategória publikačnej činnosti ADE Číslo archívnej kópie 28518 Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy PERIODIKÁ-Súborný záznam periodika 
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