On the eigenvalue and energy of extended adjacency matrix
作者：
Highlights：
• In the abstract, the correct definition of Aex(G) is added.
• The definitions for the matrix A and for the matrix SDD are added.
• The adjacency matrix A(G) was defined.
• On page 2, after ”For recent research along these lines, we added: see [5,20,33] and “Recall that the extended adjacency matrix is just one among a large number of degree-based graph matrices; for details see [A].”
• On page 10, together with Refs. [17, 21, 19] we quoted also [B]:r
• On page 10, together with Ref. [27] we quoted also Ref [A].
• Two following refs are added:[A] K. C. Das, I. Gutman, I. Milovanovi’c, E. Milovanovi’c, B. Furtula, Degree-based energies of graphs, Linear Algebra Appl. 554 (2018) 185–204.[B] I. Gutman, H. Ramane, Research on graph energies in 2019, MATCH Commun. Math. Comput. Chem. 84 (2020) 277–292.
摘要
•In the abstract, the correct definition of Aex(G) is added.•The definitions for the matrix A and for the matrix SDD are added.•The adjacency matrix A(G) was defined.•On page 2, after ”For recent research along these lines, we added: see [5,20,33] and “Recall that the extended adjacency matrix is just one among a large number of degree-based graph matrices; for details see [A].”•On page 10, together with Refs. [17, 21, 19] we quoted also [B]:r•On page 10, together with Ref. [27] we quoted also Ref [A].•Two following refs are added:[A] K. C. Das, I. Gutman, I. Milovanovi’c, E. Milovanovi’c, B. Furtula, Degree-based energies of graphs, Linear Algebra Appl. 554 (2018) 185–204.[B] I. Gutman, H. Ramane, Research on graph energies in 2019, MATCH Commun. Math. Comput. Chem. 84 (2020) 277–292.
论文关键词：Extended adjacency matrix,Graph eigenvalue,Graph energy
论文评审过程：Received 29 July 2020, Revised 12 November 2020, Accepted 24 December 2020, Available online 12 January 2021, Version of Record 12 January 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2020.125939
