Hexagonal cell graphs of the Normalizer with signature $(2, 6, \infty)$

Suborbital graphs for the normalizer of Gamma0(m)

In this study, we characterize all circuits in the suborbital graph for the normalizer of Γ0(m) when m is a square-free positive integer. We propose a conjecture concerning the suborbital graphs. © 2004 Elsevier Ltd. All rights reserved. MSC: 46A40; 05C05; 20H10

2-local 7/6-competitive Algorithm for Multicolouring a Sub-class of Hexagonal Graphs

On Suborbital Graphs for the Normalizer of Γ0(N)

In this study, we deal with the conjecture given in [R. Keskin, Suborbital graph for the normalizer of Γ0(m), European Journal of Combinatorics 27 (2006) 193206.], that when the normalizer of Γ0(N) acts transitively on Q ∪ {∞}, any circuit in the suborbital graph G(∞, u/n) for the normalizer of Γ0(N), is of the form v → T (v) → T (v) → · · · → T (v) → v, where n > 1, v ∈ Q ∪ {∞} and T is an ell...

Cyclic Orbit Codes with the Normalizer of a Singer Subgroup

An algebraic construction for constant dimension subspace codes is called orbit code. It arises as the orbits under the action of a subgroup of the general linear group on subspaces in an ambient space. In particular orbit codes of a Singer subgroup of the general linear group has investigated recently. In this paper, we consider the normalizer of a Singer subgroup of the general linear group a...

Perfect $2$-colorings of the Platonic graphs

In this paper, we enumerate the parameter matrices of all perfect $2$-colorings of the Platonic graphs consisting of the tetrahedral graph, the cubical graph, the octahedral graph, the dodecahedral graph, and  the icosahedral graph.