UPPER BOUNDS ON THE ALGEBRAIC CONNECTIVITY OF GRAPHS∗

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Abstract

The algebraic connectivity of a connected graph G is the second smallest eigenvalue of the Laplacian matrix of G. In this paper, some new upper bounds on algebraic connectivity are obtained by applying generalized interlacing to an appropriate quotient matrix.

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Lin, Z., & Miao, L. (2022). UPPER BOUNDS ON THE ALGEBRAIC CONNECTIVITY OF GRAPHS∗. Electronic Journal of Linear Algebra, 38, 77–84. https://doi.org/10.13001/ela.2022.5133

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