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  • 标题:On the second minimizing graph in the set of complements of trees
  • 本地全文:下载
  • 作者:M. Javaid
  • 期刊名称:AKCE International Journal of Graphs and Combinatorics
  • 印刷版ISSN:0972-8600
  • 出版年度:2019
  • 卷号:16
  • 期号:3
  • 页码:258-264
  • DOI:10.1016/j.akcej.2018.11.005
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractLetGbe a graph of ordernandA(G)=[ai,j]be its adjacency matrix such thatai,j=1ifviis adjacent tovjandai,j=0otherwise, where1≤i,j≤n. In a certain family of graphs, a graph is called minimizing (or second minimizing) if the least eigenvalue of its adjacency matrix attains the minimum (or second minimum). In this paper, we characterize the second minimizing graph among all graphs which belong to the set of complements of the trees.
  • 关键词:KeywordsAdjacency matrixLeast eigenvalueComplement of trees
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