Construction for the Sequences of Q-Borderenergetic Graphs

Bo Deng; Caibing Chang; Haixing Zhao; Kinkar Chandra Das; Jia Bao Liu

doi:10.1155/2020/6176849

Construction for the Sequences of Q-Borderenergetic Graphs

Bo Deng, Caibing Chang, Haixing Zhao, Kinkar Chandra Das, Jia Bao Liu

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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≤10 are determined.

Original language	English
Article number	6176849
Journal	Mathematical Problems in Engineering
Volume	2020
DOIs	https://doi.org/10.1155/2020/6176849
State	Published - 2020

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title = "Construction for the Sequences of Q-Borderenergetic Graphs",

abstract = "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",

author = "Bo Deng and Caibing Chang and Haixing Zhao and Das, \{Kinkar Chandra\} and Liu, \{Jia Bao\}",

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AU - Deng, Bo

AU - Chang, Caibing

AU - Zhao, Haixing

AU - Das, Kinkar Chandra

AU - Liu, Jia Bao

PY - 2020

Y1 - 2020

N2 - 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

AB - 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

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DO - 10.1155/2020/6176849

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SN - 1024-123X

VL - 2020

JO - Mathematical Problems in Engineering

JF - Mathematical Problems in Engineering

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ER -

Construction for the Sequences of Q-Borderenergetic Graphs

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