Graphs and irreducible cone preserving maps

Autor:	Bit-Shun Tam, George Phillip Barker
Rok vydání:	1992
Předmět:	Vertex (graph theory) Linear map Discrete mathematics Combinatorics Strongly connected component Algebra and Number Theory Real vector Directed graph Edge space Mathematics
Zdroj:	Linear and Multilinear Algebra. 31:19-25
ISSN:	1563-5139 0308-1087
DOI:	10.1080/03081089208818118
Popis:	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].
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::22689ff078d2c6bea1ddf1110140e510 https://doi.org/10.1080/03081089208818118 Zobrazit plný text záznamu