Distance Graphs of Metric Spaces with Rosenbloom - Tsfasman metric

Details Distance Graphs of Metric Spaces with Rosenbloom - Tsfasman metric Distance Graphs of Metric Spaces with Rosenbloom - Tsfasman metric

2009-02-25

arxiv.org/abs/0902.4364v4

Mathematics

Combinatorics

This paper has been modified. 4 pages

Scientific paper

Rosenbloom and Tsfasman introduced a new metric (RT metric) which is a
generalization of the Hamming metric. In this paper we study the distance
graphs of spaces $Z_q^n$ and $S_n$ with Rosenbloom -Tsfasman metric. We also
describe the degrees of vertices, components and the chromatic number of these
graphs.

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