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   A note on some lower bounds of the Laplacian energy of a graph  
   
نویسنده milovanović igor ,matejić marjan ,milosevic predrag ,milovanovic emina ,ali akbar
منبع transactions on combinatorics - 2019 - دوره : 8 - شماره : 2 - صفحه:13 -19
چکیده    ‎‎‎for a simple connected graph g of order n and size m‎, ‎the laplacian energy of g is defined as‎ ‎le(g)=∑ni=1|μi−2m/n| where μ1‎,‎μ2,…‎,‎‎μn−1‎,‎μn‎ ‎are the laplacian eigenvalues of g satisfying μ1≥μ2≥⋯≥μn−1>‎‎μn=0‎. ‎in this note‎, ‎some new lower bounds on the graph invariant le(g) are derived‎. ‎the obtained results are compared with some already known lower bounds of le(g)‎.
کلیدواژه Laplacian eigenvalue ,Laplacian energy (of a graph) ,rst Zagreb index.
آدرس university of niš, faculty of electronic engineering, Serbia, university of niš, faculty of electronic engineering, Serbia, university of niš, faculty of electronic engineering, Serbia, university of niš, faculty of electronic engineering, Serbia, university of management and technology, knowledge unit of science, Pakistan
پست الکترونیکی akbarali.maths@gmail.com
 
     
   
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