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Construction for the Sequences of Q-Borderenergetic Graphs

机译:Construction for the Sequences of Q-Borderenergetic Graphs

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This research intends to construct a signless Laplacian spectrum of the complement of anyk-regular graphGwith ordern. Through application of the join of two arbitrary graphs, a new class ofQ-borderenergetic graphs is determined with proof. As indicated in the research, with a regularQ-borderenergetic graph, sequences of regularQ-borderenergetic graphs can be constructed. The procedures for such a construction are determined and demonstrated. Significantly, all the possible regularQ-borderenergetic graphs of order7n = 10are determined.

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    Qinghai Normal Univ, Sch Math & Stat, Xining 810001, Peoples R China|Acad Plateau Sci & Sustainabil, Xining 810016, Peoples R China|Minist Educ, Key Lab Tibetan Informat Proc, Xining 810008, Peoples R China|Tibetan Intelligent Informat Proc & Machine Tran;

    Qinghai Normal Univ, Sch Math & Stat, Xining 810001, Peoples R China;

    Acad Plateau Sci & Sustainabil, Xining 810016, Peoples R China|Minist Educ, Key Lab Tibetan Informat Proc, Xining 810008, Peoples R China|Tibetan Intelligent Informat Proc & Machine Trans, Xining 810008, Qinghai, Peoples R ChinaSungkyunkwan Univ, Dept Math, Suwon 16419, South Korea;

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