两期交换经济非套利均衡预算集合与Stiefel流形

Chromatic Uniqueness of Kn-E(kPs∪rK 3)

利用Ｓｔｉｅｆｅｌ流形给出两期交换经济非套利均衡预算集合的一个表示，其目的是给出均衡流形的一个定向。

Let P(G,λ)denote chromatic polynomial of a graph G.A graph G is chromatically unique if P(H,λ)=P(G,λ) implies that H is isomorphic to G.Two graphs are chromatically equivalent if they have the same chromatic polynomial,i.e.,P(H,λ)=P(G,λ).Let G be a graph consisting of no more than n vertices,and Kn-E(G) denote the graph obtained from Kn by deleting all the edges of a subgraph which is isomorphic to G.In this paper,it uses the concept of irreducible path and shows that Kn-E(kPs∪rK 3) are chromatically unique if Ps is an irreducible path,where s≠4,and ks+3r=n,K 3 is a complete graph with 3 points.Also,it proves that three kinds of new graphs are chromatically equivalent.