|標題：Graphs and irreducible cone preserving maps|
|作品名稱||Graphs and irreducible cone preserving maps|
|著者||譚必信; Tam, Bit-shun; Barker, George-phillip|
|出版者||Taylor & Francis|
|著錄名稱、卷期、頁數||Linear and Multilinear Algebra 31(1-4), pp.19-25|
|摘要||Let K be a full, pointed closed cone in a finite dimensional real vector space. For any linear map A for which AK⊆K, denote by (E,P(A)[E,I (A))] the directed graph whose vertex set consists of all the extreme rays of K such that there is an edge from F to G iff
. It is proved that K is a simplicial cone if for any linear map A with is strongly connected whenever A is irreducible [provided, in addition, that K is 2-neighborly].