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Additive multiplicative increasing functions on nonnegative square matrices and multidigraphs |
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| Authors: | Chung-Haw Chang Yen-Chu Chuang Lih-Hsing Hsu |
| Institution: | a Ming-Hsin Institute of Technology, Hsinchu, Taiwan, ROC b Department of Information and Computer Science, National Chiao-Tung University, Hsinchu, Taiwan 30049, ROC |
| Abstract: | It is known that if f is a multiplicative increasing function on  for some  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. |
| Keywords: | Weak product Strong product Tensor product Multiplicative |
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