標題: Additive multiplicative increasing functions on nonnegative square matrices and multidigraphs
作者: Chang, CH
Chuang, YC
Hsu, LH
資訊工程學系
Department of Computer Science
關鍵字: weak product;strong product;tensor product;multiplicative
公開日期: 28-Sep-2001
摘要: It is known that if f is a multiplicative increasing function on N, then either f(n) = 0 for all n is an element of N or f (n) = n(alpha) for some alpha greater than or equal to 0. It is very natural to ask if there are similar results in other algebraic systems. In this paper, we first study the multiplicative increasing functions. over nonnegative square matrices with respect to tensor product and then restrict our result to multidigraphs and loopless multidigraphs. (C) 2001 Elsevier Science B.V. All rights reserved.
URI: http://dx.doi.org/10.1016/S0012-365X(00)00384-8
http://hdl.handle.net/11536/29388
ISSN: 0012-365X
DOI: 10.1016/S0012-365X(00)00384-8
期刊: DISCRETE MATHEMATICS
Volume: 240
Issue: 1-3
起始頁: 21
結束頁: 43
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