A Note on Consistent Rotation Maps of Graph Cartesian Products

04/03/2021
by   Clark Alexander, et al.
0

Given two regular graphs with consistent rotation maps, we produce a constructive method for a consistent rotation map on their Cartesian product. This method will be given as a simple set of rules of addition and table look ups. We assume that the combinatorial construction of both consistent rotation maps has occurred before we construct the Cartesian product.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
04/13/2021

Consistent Rotation Maps Induce a Unitary Shift Operator in Discrete Time Quantum Walks

In this work we explain the necessity for consistently labeled rotation ...
research
12/17/2019

Quaternion Product Units for Deep Learning on 3D Rotation Groups

We propose a novel quaternion product unit (QPU) to represent data on 3D...
research
12/16/2005

Incremental and Transitive Discrete Rotations

A discrete rotation algorithm can be apprehended as a parametric applica...
research
10/25/2021

Rotation Equivariant Deforestation Segmentation and Driver Classification

Deforestation has become a significant contributing factor to climate ch...
research
03/03/2022

Disperse rotation operator DRT and use in some stream ciphers

The rotation operator is frequently used in several stream ciphers, incl...
research
09/12/2015

Good Colour Maps: How to Design Them

Many colour maps provided by vendors have highly uneven perceptual contr...
research
09/19/2022

Systematic Constructions of Bent-Negabent Functions, 2-Rotation Symmetric Bent-Negabent Functions and Their Duals

Bent-negabent functions have many important properties for their applica...

Please sign up or login with your details

Forgot password? Click here to reset