As originally described by Cayley (1846), the Cayley transform is a mapping between skew-symmetric matrices and special orthogonal matrices. The transform is a ...
We present a theory of Cayley maps, i.e., embeddings of Cayley graphs into oriented surfaces having the same cyclic rotation of generators around each ...
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Jan 19, 2023 · Abstract:Cayley maps are combinatorial structures built upon Cayley graphs on a group. As such the original group embeds in their group of ...
Cayley Graphs Cayley Graphs are a way of representing groups. Let G be a group with generating set S . The Cayley Graph, C_G(G,S) , is a graph where all ...
A Cayley map is a Cayley graph 2-cell embedded in some orientable surface so that the local rotations at every vertex are identical. Two types of Cayley ...
Abstract. In this paper we shall show how combinatorial methods can be applied to the study of maps on orientable surfaces. Our main concern is with maps ...
Feb 21, 2016 · In this paper we study this prop- erty for oriented Cayley maps. A Cayley map is a Cayley graph provided by a cyclic rotation of its connection ...
Cayley maps are combinatorial structures built upon Cayley graphs on a group. As such the original group embeds in their group of automorphisms, and one can ask ...
Abstract—The Cayley map for the rotation group SO(3) is extended to a map from the Lie algebra of the group of rigid body motions SE(3) to the group itself.
Jul 28, 2005 · Abstract. We present a theory of Cayley maps, i.e., embeddings of Cayley graphs into oriented surfaces having the same cyclic rotation of ...