Construction for the Sequences of Q-Borderenergetic Graphs
Keyword(s):
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.
2014 ◽
Vol 06
(04)
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pp. 1450050
2019 ◽
Vol 11
(05)
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pp. 1950053
2018 ◽
Vol 10
(06)
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pp. 1850074
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2020 ◽
Vol 17
(1)
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pp. 356-366
2010 ◽
Vol 4
(1)
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pp. 167-174
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