首页|Ordering the maxima of L-index and Q-index: Graphs with given size and diameter
Ordering the maxima of L-index and Q-index: Graphs with given size and diameter
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NSTL
Elsevier
? 2022 Elsevier Inc.The L-index (resp. Q-index) of a graph G is the largest eigenvalue of the Laplacian matrix (resp. signless Laplacian matrix) of G. Very recently, Lou, Guo and Wang [6] determined the graph with fixed size and diameter having the maximum Q-index (resp. L-index). As a continuance of their result, in this paper we order all the graphs with given size and diameter from the second to the [Formula presented]th via their Q-indices. Consequently, we identify all the graphs of given size and diameter from the second to the [Formula presented]th via their L-indices. Furthermore, the graph of given size and diameter with at least one cycle having the largest Q-index is also characterized.
DiameterL-indexQ-indexSize
Li S.、Wang S.、Jia H.
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Hubei Key Laboratory of Mathematical Sciences Faculty of Mathematics and Statistics Central China Normal University
NSTL
Elsevier
