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arXiv 0901.3284math.MGmath.CO
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图的单形与谱(续)

Simplices and spectra of graphs, continued

Bojan Mohar, Igor Rivin

摘要:

本文证明了n维单形的余维2面的n-2维体积是其边长体积的代数无关量。证明涉及到Kneser图的特征值的计算。我们还构建家庭的非同胚单形不确定其余维2面积。

英文摘要:

In this note we show that the n-2-dimensional volumes of codimension 2 faces of an n-dimensional simplex are algebraically independent quantities of the volumes of its edge-lengths. The proof involves computation of the eigenvalues of Kneser graphs. We also construct families of non-congurent simplices not determined by their codimension-2 areas.

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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