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arXiv 0902.4364math.CO
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具有Rosenbloom-Tsfasman度量的度量空间的距离图

Distance Graphs of Metric Spaces with Rosenbloom - Tsfasman metric

W. B. Vasantha, R. Rajkumar

摘要:

Rosenbloom和Tsfasman提出了一个新的度量(RT度量),它是Hamming度量的推广。本文研究了空间$Z_q^n$和空间$S_n$在Rosenbloom -Tsfasman度量下的距离图.我们还描述了这些图的顶点度、分支度和色数。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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