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Research articles

ScienceAsia 47 (2021):ID 779-784 |doi: 10.2306/scienceasia1513-1874.2021.099


A lower bound of the rank of a signed graph in terms of order and maximum degree


Yong Lua,*, Wei-Ru Xub

 
ABSTRACT:     that r(K a,b) = 2 (a, b ? 2) if and only if all the cycles of order 4 in K a,b are balanced. Using this result, we also prove that r(

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a School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, Jiangsu 221116 China
b School of Mathematical Sciences, Sichuan Normal University, Chengdu, Sichuan 610066 China

* Corresponding author, E-mail: luyong@jsnu.edu.cn

Received 25 Sep 2020, Accepted 21 Jul 2021