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2011 GENERALIZED $r$-EXPONENTS OF PRIMITIVE DIGRAPHS
Yufei Huang, Bolian Liu
Taiwanese J. Math. 15(5): 1999-2012 (2011). DOI: 10.11650/twjm/1500406419

Abstract

In this paper, as natural extensions of the generalized exponents of primitive digraphs introduced by R.A. Brualdi and B. Liu, we introduce the generalized $r$-exponents of primitive digraphs, where $1 \leq r \leq n$. Moreover, some properties and sharp upper bounds of the generalized $r$-exponents of primitive digraphs are obtained, respectively.

Citation

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Yufei Huang. Bolian Liu. "GENERALIZED $r$-EXPONENTS OF PRIMITIVE DIGRAPHS." Taiwanese J. Math. 15 (5) 1999 - 2012, 2011. https://doi.org/10.11650/twjm/1500406419

Information

Published: 2011
First available in Project Euclid: 18 July 2017

zbMATH: 1234.05152
MathSciNet: MR2880389
Digital Object Identifier: 10.11650/twjm/1500406419

Subjects:
Primary: 05C50 , ‎15A09 , 15A48

Keywords: bounds , generalized $r$-exponents , primitive digraph

Rights: Copyright © 2011 The Mathematical Society of the Republic of China

Vol.15 • No. 5 • 2011
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