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1.
The full automorphism group of Cayley graphs of ${mathbb Z}_ptimes{mathbbZ}_{p^2}$
Edward Dobson, 2012, izvirni znanstveni članek

Najdeno v: ključnih besedah
Povzetek najdenega: ...Cayley graph, abelian group, automorphism group, ...
Ključne besede: Cayley graph, abelian group, automorphism group
Objavljeno: 15.10.2013; Ogledov: 1691; Prenosov: 30
URL Polno besedilo (0,00 KB)

2.
Asymptotic automorphism groups of Cayley digraphs and graphs of abelian groups of prime-power order
Edward Dobson, 2010, izvirni znanstveni članek

Opis: We show that almost every Cayley graph ▫$\Gamma$▫ of an abelian group ▫$G$▫ of odd prime-power order has automorphism group as small as possible. Additionally, we show that almost every Cayley (di)graph ▫$\Gamma$▫ of an abelian group ▫$G$▫ of odd prime-power order that does not have automorphism group as small as possible is a normal Cayley (di)graph of ▫$G$▫ (that is, ▫$G_L \triangleleft {\rm Aut}(\Gamma))$▫.
Najdeno v: ključnih besedah
Povzetek najdenega: ...every Cayley graph ▫$\Gamma$▫ of an abelian group ▫$G$▫ of odd prime-power order has automorphism...
Ključne besede: mathematics, graph theory, Cayley graph, abelian group, automorphism group, asymptotic, ▫$p$▫-group
Objavljeno: 15.10.2013; Ogledov: 2338; Prenosov: 37
URL Polno besedilo (0,00 KB)

3.
Group irregularity strength of connected graphs
Marcin Anholcer, Sylwia Cichacz, Martin Milanič, 2013, izvirni znanstveni članek

Najdeno v: ključnih besedah
Povzetek najdenega: ...irregularity strength, graph labelling, Abelian group, ...
Ključne besede: irregularity strength, graph labelling, Abelian group
Objavljeno: 15.10.2013; Ogledov: 832; Prenosov: 31
URL Polno besedilo (0,00 KB)

4.
Hamilton cycle and Hamilton path extendability of Cayley graphs on abelian groups
Štefko Miklavič, Primož Šparl, 2012, izvirni znanstveni članek

Opis: In this paper the concepts of Hamilton cycle (HC) and Hamilton path (HP) extendability are introduced. A connected graph ▫$\Gamma$▫ is ▫$n$▫-HC-extendable if it contains a path of length ▫$n$▫ and if every such path is contained in some Hamilton cycle of ▫$\Gamma$▫. Similarly, ▫$\Gamma$▫ is weakly ▫$n$▫-HP-extendable if it contains a path of length ▫$n$▫ and if every such path is contained in some Hamilton path of ▫$\Gamma$▫. Moreover, ▫$\Gamma$▫ is strongly ▫$n$▫-HP-extendable if it contains a path of length ▫$n$▫ and if for every such path $P$ there is a Hamilton path of ▫$\Gamma$▫ starting with ▫$P$▫. These concepts are then studied for the class of connected Cayley graphs on abelian groups. It is proved that every connected Cayley graph on an abelian group of order at least three is 2-HC-extendable and a complete classification of 3-HC-extendable connected Cayley graphs of abelian groups is obtained. Moreover, it is proved that every connected Cayley graph on an abelian group of order at least five is weakly 4-HP-extendable.
Najdeno v: ključnih besedah
Povzetek najdenega: ...class of connected Cayley graphs on abelian groups. It is proved that every connected Cayley...
Ključne besede: graph theory, Hamilton cycle, Hamilton path, n-HC-extendable, strongly n-HP-extendable, weakly n-HP-extendable, Cayley graph, abelian group
Objavljeno: 15.10.2013; Ogledov: 1177; Prenosov: 52
URL Polno besedilo (0,00 KB)

5.
On overgroups of regular abelian p-groups
Edward Dobson, 2009, izvirni znanstveni članek

Opis: Let ▫$G$▫ be a transitive group of odd prime-power degree whose Sylow ▫$p$▫-subgroup ▫$P$▫ is abelian od rank ▫$t$▫. Weshow that if ▫$p > 2^{t-1}$▫, then ▫$G$▫ has a normal subgroup that is a direct product of ▫$t$▫ permutation groups of smaller degree that are either cyclic or doubly-transitive simple groups. As a consequence, we determine the full automorphism group of a Cayley diagraph of an abelian group with rank two such that the Sylow ▫$p$▫-subgroup of the full automorphism group is abelian.
Najdeno v: ključnih besedah
Povzetek najdenega: ...Let ▫$G$▫ be a transitive group of odd prime-power degree whose Sylow ▫$p$▫-subgroup...
Ključne besede: group theory, graph theory, Cayley graph, abelian group, regular group, p-group
Objavljeno: 15.10.2013; Ogledov: 1483; Prenosov: 38
URL Polno besedilo (0,00 KB)

6.
On the split structure of lifted groups
Aleksander Malnič, Rok Požar, 2016, izvirni znanstveni članek

Najdeno v: ključnih besedah
Povzetek najdenega: ...algorithm, abelian cover, Cayley voltages, covering projection, graph, group...
Ključne besede: algorithm, abelian cover, Cayley voltages, covering projection, graph, group extension, group presentation, lifting automorphisms, linear systems over the integers, semidirect product
Objavljeno: 15.10.2015; Ogledov: 926; Prenosov: 35
URL Polno besedilo (0,00 KB)

7.
Cayley graphs on abelian groups
Gabriel Verret, Edward Dobson, Pablo Spiga, 2015, izvirni znanstveni članek

Najdeno v: ključnih besedah
Povzetek najdenega: ...Cayley graph, abelian group, automorphism, ...
Ključne besede: Cayley graph, abelian group, automorphism
Objavljeno: 03.04.2017; Ogledov: 562; Prenosov: 51
URL Polno besedilo (0,00 KB)

8.
Elementary abelian groups of rank 5 are DCI-groups
István Kovács, Yan-Quan Feng, 2018, objavljeni povzetek znanstvenega prispevka na konferenci (vabljeno predavanje)

Najdeno v: ključnih besedah
Povzetek najdenega: ...elementary abelian group, rank, DCI-group...
Ključne besede: elementary abelian group, rank, DCI-group
Objavljeno: 07.02.2018; Ogledov: 556; Prenosov: 28
URL Polno besedilo (0,00 KB)

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