On graph coloring check-digit method
Combinatorics
2007-05-23 v1 Cryptography and Security
Discrete Mathematics
Data Structures and Algorithms
Abstract
We show a method how to convert any graph into the binary number and vice versa. We derive upper bound for maximum number of graphs, that, have fixed number of vertices and can be colored with n colors (n is any given number). Proof for the result is outlined. Next, graph coloring based check-digit scheme is proposed. We use quantitative result derived, to show, that feasibility of the proposed scheme increases with size of the number which digits are checked, and overall probability of digits errors.
Keywords
Cite
@article{arxiv.math/0211317,
title = {On graph coloring check-digit method},
author = {Kamil Kulesza and Zbigniew Kotulski},
journal= {arXiv preprint arXiv:math/0211317},
year = {2007}
}
Comments
7 pages, paper sumitted to Applied Mathematics Letters (Elsevier)