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Research Article

Enhancing Controllability Robustness of -Snapback Networks through Redirecting Edges

Table 3

Comparison of the original QSN and the QSN with redirected edges in terms of structural controllability. Average rank and number of winning rank one are listed for each network. Italic numbers represent the minimum average rank, and italic numbers inside parentheses mean the maximum number of winning times.

SC Average

QSN9.957.887.3510.589.3310.399.25
(2) (87)(321)(14)(19)(25)(78)

QSN 8.387.826.678.367.648.257.85
(4)(20)(149)(41)(47)(185)(74)

QSN 6.215.137.146.455.845.426.03
(16)(81)(146)(111)(257)(174)(131)

QSN 3.885.836.254.584.464.104.85
(159)(71)(221)(111)(199)(1062)(304)

QSN 3.214.02 4.382.222.09 2.983.15
(106)(393) (382)(1410)(2109)(1257)(943)

QSN 2.754.884.091.69 2.151.54 2.85
(347)(372)(432) (4219) (3543) (4646) (2260)

QSN 2.30 4.714.04 2.443.263.933.45
(385) (111)(400)(853)(443)(416)(435)

QSN 4.714.655.764.335.725.185.06
(31)(147)(163)(288)(297)(109)(173)

QSN 6.676.325.656.627.406.826.58
(11)(32)(161)(46)(67)(263)(97)

QSN 7.766.697.008.428.708.307.81
(67)(75)(144)(30)(104)(119)(90)

QSN 10.188.077.6710.299.419.099.12
(14)(76)(230)(11)(20)(104)(76)