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Construction for the Sequences of - Borderenergetic Graphs

Author

Listed:
  • Bo Deng
  • Caibing Chang
  • Haixing Zhao
  • Kinkar Chandra Das

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.

Suggested Citation

  • Bo Deng & Caibing Chang & Haixing Zhao & Kinkar Chandra Das, 2020. "Construction for the Sequences of - Borderenergetic Graphs," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-5, July.
    • Handle: RePEc:hin:jnlmpe:6176849
    DOI: 10.1155/2020/6176849
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