Mar 20, 2019 · Define the HL-index of G to be R(G)=max(|λH|,|λL|). The eigenvalues λ H and λ L appear in chemical graph theory in the study of molecular ...
The aim of the paper is to derive alternative inequalities to bound the HL-index. By applying majorization techniques and making use of some known relations, we ...
Abstract. Let G be a simple, connected graph with n vertices and eigenvalues λ1 > λ2 ≥ ... ≥ λn. If n is even, define H = n/2 and L = H + 1.
Nov 17, 2016 · The aim of the paper is to derive alternative inequalities to bound the HL-index. By applying majorization techniques and making use of some known relations.
These play an important role in the Hückel molecular orbital model of π-electron systems. The HL–index is defined as R(G) := max{|λH|, |λL|}. In this paper, ...
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Alternative inequalities to bound the HL-index are derived by applying majorization techniques and making use of some known relations to derive new and ...
In this note we provide rather tight lower and upper bounds on the maximum value of the HL-index among all graphs with given average degree.
Dive into the research topics of 'Bounding the HL-index of a graph: a majorization approach'. Together they form a unique fingerprint. Graph Mathematics 100%.
In this note we provide rather tight lower and upper bounds on the maximum value of the HL-index among all graphs with given average degree. In particular, we ...
Nov 8, 2016 · The aim of the paper is to derive alternative inequalities to bound the HL-index. By applying majorization techniques and making use of some ...