The Aα-Spectral Radii of Graphs with Given Connectivity
School of Mathematics and Statistics and Hubei key Laboratory Mathematics Sciences, Central China Normal University, Wuhan 430079, China
Department of Mathematics, Savannah State University, Savannah, GA 31419, USA
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Received: 22 November 2018 / Revised: 23 December 2018 / Accepted: 24 December 2018 / Published: 4 January 2019
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, given by Nikiforov in 2017, where
is adjacent matrix, and
is its diagonal matrix of the degrees of a graph G
. The maximal eigenvalue of
is said to be the
-spectral radius of G
. In this work, we determine the graphs with largest
-spectral radius with fixed vertex or edge connectivity. In addition, related extremal graphs are characterized and equations satisfying
-spectral radius are proposed.
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MDPI and ACS Style
Wang, C.; Wang, S. The Aα-Spectral Radii of Graphs with Given Connectivity. Mathematics 2019, 7, 44.
Wang C, Wang S. The Aα-Spectral Radii of Graphs with Given Connectivity. Mathematics. 2019; 7(1):44.
Wang, Chunxiang; Wang, Shaohui. 2019. "The Aα-Spectral Radii of Graphs with Given Connectivity." Mathematics 7, no. 1: 44.
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