Construction for the sequences of \(Q\)-borderenergetic graphs
type: Item
instance of: scholarly article
title: Construction for the sequences of \(Q\)-borderenergetic graphs
zbMATH Open document ID: 1459.05168
DOI: 10.1155/2020/6176849
author: Bo Deng
author: Caibing Chang
author: Haixing Zhao
author: Kinkar Ch. Das
published in: Mathematical Problems in Engineering
publication date: 2020-07-30T00:00:00Z
review text: Summary: This research intends to construct a signless Laplacian spectrum of the complement of any \(k\)-regular graph \(G\) with order \(n\). Through application of the join of two arbitrary graphs, a new class of \(Q\)-borderenergetic graphs is determined with proof. As indicated in the research, with a regular \(Q\)-borderenergetic graph, sequences of regular \(Q\)-borderenergetic graphs can be constructed. The procedures for such a construction are determined and demonstrated. Significantly, all the possible regular \(Q\)-borderenergetic graphs of order \(7<n\leq10\) are determined.
Mathematics Subject Classification ID: 05C50
Mathematics Subject Classification ID: 05C90
zbMATH DE Number: 7226151
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/6176849
OpenAlex ID: W3043593075
cites work: Q5422499
cites work: Q3907599
cites work: Asymptotic Laplacian-energy-like invariant of lattices
cites work: On the generalized adjacency, Laplacian and signless Laplacian spectra of the weighted edge corona networks
cites work: Laplacian spectral characterization of some double starlike trees
cites work: Q4186355
cites work: Graph energy
cites work: Graph Energy
cites work: Q3409873
cites work: Laplacian energy of a graph
cites work: Towards a spectral theory of graphs based on the signless Laplacian, I
cites work: Q5279146
cites work: More on borderenergetic graphs
cites work: Q5280002
cites work: Q5005646
cites work: Q5279147
cites work: L-Borderenergetic graphs
cites work: Q5005686
cites work: Q5005655
cites work: Q5005688
cites work: Q5005685
cites work: -borderenergetic graphs
cites work: Q4956532
description: scientific article; zbMATH DE number 7226151