Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Dobson, Ted"'
We examine bicoset digraphs and their natural properties from the point of view of symmetry. We then consider connected bicoset digraphs that are $X$-joins with collections of empty graphs, and show that their automorphism groups can be obtained from
Externí odkaz:
http://arxiv.org/abs/2409.11092
Autor:
Barber, Rachel, Dobson, Ted
It has long been known that a vertex-transitive graph $\Gamma$ is isomorphic to a double coset graph $\text{Cos}(G,H,S)$ of a transitive group $G\le\text{Aut}(\Gamma)$, a vertex stabilizer $H\le G$, and some subset $S\subseteq G$. We show that the au
Externí odkaz:
http://arxiv.org/abs/2407.02316
Let $k$ be odd, and $n$ an odd multiple of $3$. We prove that $C_k \rtimes C_8$ and $(C_n \times C_3)\rtimes C_8$ do not have the Directed Cayley Isomorphism (DCI) property. When $k$ is also prime, $C_k \rtimes C_8$ had previously been proved to have
Externí odkaz:
http://arxiv.org/abs/2404.13938
Autor:
Dobson, Ted
We introduce two refinements of the class of $5/2$-groups, inspired by the classes of automorphism groups of configurations and automorphism groups of unit circulant digraphs. We show that both of these classes have the property that any two regular
Externí odkaz:
http://arxiv.org/abs/2305.11849
Autor:
Dobson, Ted
We introduce a new class of transitive permutation groups which properly contains the automorphism groups of vertex-transitive graphs and digraphs. We then give a sufficient condition for a quotient of this family to remain in the family, showing tha
Externí odkaz:
http://arxiv.org/abs/2305.11689
We classify trivalent vertex-transitive graphs whose edge sets have a partition into a 2-factor composed of two cycles and a 1-factor that is invariant under the action of the automorphism group.
Comment: 25 pages
Comment: 25 pages
Externí odkaz:
http://arxiv.org/abs/2109.06370
In this paper, we find a strong new restriction on the structure of CI-groups. We show that, if $R$ is a generalised dihedral group and if $R$ is a CI-group, then for every odd prime $p$ the Sylow $p$-subgroup of $R$ has order $p$, or $9$. Consequent
Externí odkaz:
http://arxiv.org/abs/2008.00200
In the mid-1990s, two groups of authors independently obtained classifications of vertex-transitive graphs whose order is a product of two distinct primes. In the intervening years it has become clear that there is additional information concerning t
Externí odkaz:
http://arxiv.org/abs/2003.07894
Publikováno v:
In Discrete Mathematics August 2022 345(8)
Autor:
Dobson, Ted, Spiga, Pablo
Publikováno v:
In Journal of Combinatorial Theory, Series B January 2017 122:301-310