New bounds for the resolvent energy of graphs

Zogić, E.; Glogic, Edin

doi:10.5937/spsunp1702187z

Cited by 3 publications

(2 citation statements)

References 6 publications

(3 reference statements)

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“…17 Several papers have appeared dealing with the mathematical properties of this quantity. [21][22][23][24][25][26][27][28][29] Due to similar definitions of the resolvent energy (3) and the graph energy (1), the question about their relation naturally occurs. Fig.…”

Section: Graph Energy Versus Resolvent Energymentioning

confidence: 99%

On Relationships of Eigenvalue–Based Topological Molecular Descriptors

Redžepović¹,

Furtula

2020

ACSi

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Three eigenvalue-based topological molecular descriptors are compared using several datasets of alkanes. Two of them are well-known and frequently employed in various QSPR/QSAR investigations, and third-one is a newly derived whose predictive potential is yet to be proven. The relations among them are found and discussed. Structural parameters that govern these relations are identified and the corresponding formulas based on multiple linear regression have been obtained. It has been shown that all three investigated indices are encoding almost the same structural information of a molecule. They differ only by the extent of the sensitivity on a structural branching of a molecule and on the number of non-bonding molecular orbitals.

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Section: Graph Energy Versus Resolvent Energymentioning

confidence: 99%

On Relationships of Eigenvalue–Based Topological Molecular Descriptors

Redžepović¹,

Furtula

2020

ACSi

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“…For example, see the recent papers [13, 14] for the chemical applications of the first and second Zagreb indices. Detail about the mathematical properties of these Zagreb indices can be found in the recent surveys [15, 16], recent papers [17–27] and related references mentioned therein.…”

Section: Introductionmentioning

confidence: 99%

On the first two extremum Zagreb indices and coindices of chemical trees

Ali

Rafee

et al. 2020

Int J of Quantum Chemistry

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The first and second Zagreb indices are the molecular descriptors that were appeared within a study of molecular modeling more than four decades ago. The coindex versions of these Zagreb indices were introduced around one decade before. Finding trees with the first two extremum Zagreb indices/coindices from the class of all chemical trees of a fixed order is a chemical‐graph‐theoretic problem whose partial solution is known. This paper is devoted to reporting the complete solution of the aforementioned problem.

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Some new inequalities on the normalized signless Laplacian resolvent energy of graphs

Altındağ¹,

Matejic²,

Milovanovic³

et al. 2023

Asian-European J. Math.

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For a connected graph [Formula: see text] of order [Formula: see text] with normalized signless Laplacian eigenvalues [Formula: see text], the normalized signless Laplacian resolvent energy of [Formula: see text] is defined as [Formula: see text]. In this paper, we derive new inequalities on [Formula: see text] as well as relations on [Formula: see text] with Randić (normalized) incidence energy. We also deduced that some of our results improve the existing results in the literature.

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New bounds for the resolvent energy of graphs

Cited by 3 publications

References 6 publications

On Relationships of Eigenvalue–Based Topological Molecular Descriptors

On Relationships of Eigenvalue–Based Topological Molecular Descriptors

On the first two extremum Zagreb indices and coindices of chemical trees

Some new inequalities on the normalized signless Laplacian resolvent energy of graphs

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