Normal edge-transitive Cayley graphs and Frattini-like subgroups
B Khosravi, CE Praeger - Journal of Algebra, 2022 - Elsevier
For a finite group G and an inverse-closed generating set C of G, let Aut (G; C) consist of
those automorphisms of G which leave C invariant. We define an Aut (G; C)-invariant normal …
those automorphisms of G which leave C invariant. We define an Aut (G; C)-invariant normal …
Normal edge-transitive Cayley graphs of Frobenius groups
BP Corr, CE Praeger - Journal of Algebraic Combinatorics, 2015 - Springer
A Cayley graph for a group G is called normal edge-transitive if it admits an edge-transitive
action of some subgroup of the holomorph of G the normaliser of a regular copy of G in Sym …
action of some subgroup of the holomorph of G the normaliser of a regular copy of G in Sym …
Graphs generated by measures
In this paper, a graph is assigned to any probability measure on the σ‐algebra of Borel sets
of a topological space. Using this construction, it is proved that given any number n (finite or …
of a topological space. Using this construction, it is proved that given any number n (finite or …
Tetravalent normal edge-transitive Cayley graphs on a certain group of order
MR Darafsheh, M Yaghoobian - Turkish Journal of …, 2017 - journals.tubitak.gov.tr
Abstract Let $ U_ {6n}=\langle a, ba^{2n}= b^{3}= 1, a^{-1} ba= b^{-1}\rangle $ be a groupof
order 6n. In this paper tetravalent normal edge-transitive Cayleygraphs on $ U_ {6n} $ are …
order 6n. In this paper tetravalent normal edge-transitive Cayleygraphs on $ U_ {6n} $ are …
Normal edge-transitive and ½-ARC-transitive cayley graphs on non-abelian groups of order 2pq, p> q are odd primes
AR Ashrafi, B Soleimani - International Journal of Group Theory, 2016 - ijgt.ui.ac.ir
Darafsheh and Assari in [Normal edge-transitive Cayley graphs on non-abelian groups of
order $4 p $, where $ p $ is a prime number, Sci. China Math., 56 (2013) 213--219.] …
order $4 p $, where $ p $ is a prime number, Sci. China Math., 56 (2013) 213--219.] …
On reconstruction of normal edge-transitive cayley graphs
The main idea of this paper is to provide an algebraic algorithm for constructing symmetric
graphs with optimal fault tolerance. For this purpose, we use normal edge-transitive Cayley …
graphs with optimal fault tolerance. For this purpose, we use normal edge-transitive Cayley …
[PDF][PDF] Normal edge-transitive Cayley graphs on the non-abelian groups of order , where is a prime number
Y Pakravesh, A Iranmanesh - Bulletin of the Iranian …, 2017 - bims.iranjournals.ir
Bulletin of the Iranian Mathematical Society Page 1 . Bulletin of the . Iranian Mathematical
Society . ISSN: 1017-060X (Print) . ISSN: 1735-8515 (Online) . Vol. 43 (2017), No. 3, pp. 951–974 …
Society . ISSN: 1017-060X (Print) . ISSN: 1735-8515 (Online) . Vol. 43 (2017), No. 3, pp. 951–974 …
[PDF][PDF] Constructing Gray maps from combinatorial geometries
A Paşa, B Yıldız - Communications Faculty of Sciences University of …, 2013 - dergipark.org.tr
The focus of this work is constructing Gray maps for linear codes over a family of Frobenius
rings, using tools from combinatorial geometries. The main combinatorial structure that are …
rings, using tools from combinatorial geometries. The main combinatorial structure that are …
On Connected Tetravalent Cayley Graphs of a Non-abelian Group of Order 3p2
MR Darafsheh, M Abdollahi - Algebra colloquium, 2017 - World Scientific
In this paper we determine all tetravalent Cayley graphs of a non-abelian group of order 3 p
2, where p is a prime number greater than 3, and with a cyclic Sylow p-subgroup. We show …
2, where p is a prime number greater than 3, and with a cyclic Sylow p-subgroup. We show …
Normal edge-transitive Cayley graphs on certain groups of orders 4n and 8
M Darafsheh, M Abdollahi - Quasigroups and Related Systems, 2016 - ibn.idsi.md
Normal edge-transitive Cayley graph Cay (G; S) where G is the generalized quaternion
group Q4n of order 4n or a certain group V8n of order 8n is investigated. It is shown that up …
group Q4n of order 4n or a certain group V8n of order 8n is investigated. It is shown that up …