On a conjecture of Laplacian energy of trees
نویسندگان
چکیده
Let [Formula: see text] be a simple graph with vertices, edges having Laplacian eigenvalues text]. The energy LE[Formula: is defined as text], where the average degree of Radenković and Gutman conjectured that among all trees order path has smallest energy. family diameter In this paper, we show any tree greater than thereby proving conjecture for We also truth number non-pendent vertices at most Further, give some sufficient conditions to hold
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ژورنال
عنوان ژورنال: Discrete Mathematics, Algorithms and Applications
سال: 2021
ISSN: ['1793-8309', '1793-8317']
DOI: https://doi.org/10.1142/s1793830922500094