Construction for the Sequences of - Borderenergetic Graphs

Bo Deng, Caibing Chang, Haixing Zhao and Kinkar Chandra Das

Mathematical Problems in Engineering, 2020, vol. 2020, 1-5

Abstract:

This research intends to construct a signless Laplacian spectrum of the complement of any - regular graph with order . Through application of the join of two arbitrary graphs, a new class of - borderenergetic graphs is determined with proof. As indicated in the research, with a regular - borderenergetic graph, sequences of regular - borderenergetic graphs can be constructed. The procedures for such a construction are determined and demonstrated. Significantly, all the possible regular - borderenergetic graphs of order are determined.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:6176849

DOI: 10.1155/2020/6176849

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