拟阵特征多项式的根

The Roots for Characteristic Polynomial of a Matroid

摘要: 研究了拟阵特征多项式的根,证明了无环拟阵的特征多项式的根1的重数等于该拟阵连通支个数;并考虑了根2的情况。

Abstract: The roots in the characteristic polynomial of a matroid are studied . It is shown that the multiplicity of root 1 in the characteristic polynomial of a matroid M without loops is equal to the number of connected components in M . And the root 2 is also considered .