关于有限度量空间的上$p$ -负型
On the supremal $p$-negative type of a finite metric space
摘要：
研究有限度量空间的极大$p$ -负型.给出了有限度量空间$(X,d)$的极大$p$ -负型$\wp (X,d)$的一个显式表示，并由此计算出该空间的极大$p$ -负型.然后，该方法被用来给一个简单的计算的极大$p$ -负型的完全二部图$K_{n,m}$赋予通常的路度量。一个缺口的可能的上$p$ -负型值的路径度量图的频谱也被证明。
英文摘要：
We study the supremal $p$-negative type of finite metric spaces. An explicit expression for the supremal $p$-negative type $\wp (X,d)$ of a finite metric space $(X,d)$ is given in terms its associated distance matrix, from which the supremal $p$-negative type of the space may be calculated. The method is then used to give a straightforward calculation of the supremal $p$-negative type of the complete bipartite graphs $K_{n,m}$ endowed with the usual path metric. A gap in the spectrum of possible supremal $p$-negative type values of path metric graphs is also proven.
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。
