一类连图的Yamada多项式的性质

The Properties of Yamada Polynomials of a Class of Connected Graphs

摘要: Yamada多项式是图论中重要的不变量之一。本文主要研究了一类特殊空间图的多项式不变量的性质，在两点连图性质的基础上，通过利用Yamada多项式非环边的性质，给出了特殊的两点连图(l,n)与图(m,n)的Yamada多项式，进一步推广到一类特殊的三点连图的情形，研究了这类连图的Yamada多项式并给出了其推导公式。

Abstract: Yamada polynomial is one of the important invariants in graph theory. This paper mainly studies the properties of the polynomial invariants of a special type of space graph. Based on the properties of the two-point connected graph, by using the non-circular edge property of the Yamada polynomial, the Yamada polynomial of special two-point connected graph (l,n) and (m,n) is given. Yamada polynomials are further extended to a special type of three-point connected graphs. The Yamada polynomials of this type of connected graphs are studied and their derivation formulas are given.