Results 81 to 90 of about 472 (183)
Primitivity testing in free group algebras via duality
Abstract Let K$K$ be a field and F$F$ a free group. By a classical result of Cohn and Lewin, the free group algebra KF$K\left[F\right]$ is a free ideal ring (FIR): a ring over which the submodules of free modules are themselves free, and of a well‐defined rank. Given a finitely generated right ideal I⩽KF$I\leqslant K\left[F\right]$ and an element f∈I$f\
Matan Seidel +2 more
wiley +1 more source
Independence and strong independence complexes of finite groups
Abstract Let G$G$ be a finite group. In [10], two different concepts of independence (namely, independence and strong independence) are introduced for the subsets of G$G$, yielding to the definition of two simplicial complexes whose vertices are the elements of G$G$. The strong independence complex Σ∼(G)$\tilde{\Sigma }(G)$ turns out to be a subcomplex
Andrea Lucchini, Mima Stanojkovski
wiley +1 more source
An extended definition of Anosov representation for relatively hyperbolic groups
Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley +1 more source
Barycentric Subdivision of Cayley Graphs With Constant Edge Metric Dimension
A motion of a robot in space is represented by a graph. A robot change its position from point to point and its position can be determined itself by distinct labelled landmarks points.
Ali N. A. Koam, Ali Ahmad
doaj +1 more source
Proceedings of the Third Learning on Graphs Conference (LoG 2024), PMLR 269.
JJ Wilson +2 more
openaire +3 more sources
The arc-types of Cayley graphs
Summary: Let \(X\) be a finite vertex-transitive graph of valency \(d\), and let \(A\) be the full automorphism group of \(X\). Then the arc-type of \(X\) is defined in terms of the sizes of the orbits of the action of the stabiliser \(A_v\) of a given vertex \(v\) on the set of arcs incident with \(v\). Specifically, the arc-type is the partition of \(
Conder, Marston, Poznanovic, Nemanja
openaire +4 more sources
ON (3,6) AND (4,6) - FULLERENE CAYLEY GRAPHS
An (r, s)-fullerene graph is a planar 3-regular graph with only Cr and Cs faces, where Cn denotes a cycle of length n. In this paper, the (3,6)-fullerene Cayley graphs constructed from finite groups are classified.
Ali Reza ASHRAFI +2 more
doaj
Quantum Unique Ergodicity for Cayley Graphs of Quasirandom Groups. [PDF]
Magee M, Thomas J, Zhao Y.
europepmc +1 more source
On Isomorphisms of Finite Cayley Graphs
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marston D. E. Conder, Cai Heng Li
openaire +1 more source
Hamiltonian decompositions of 4-regular Cayley graphs of infinite abelian groups. [PDF]
Erde J, Lehner F.
europepmc +1 more source

