On energy of line graphs

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• 作者：Kinkar Ch. Das^a ; ^{kinkardas2003@googlemail.com" class="auth_mail" title="E-mail the corresponding author} ; Seyed Ahmad Mojallal^a ; ^{ahmad_mojalal@yahoo.com" class="auth_mail" title="E-mail the corresponding author} ; Ivan Gutman^b ; ^c ; ^{gutman@kg.ac.rs" class="auth_mail" title="E-mail the corresponding author}
• 关键词：05C50 ; 15A18
• 刊名：Linear Algebra and its Applications
• 出版年：2016
• 出版时间：15 June 2016
• 年：2016
• 卷：499
• 期：Complete
• 页码：79-89
• 全文大小：315 K

文摘

The energy E(G)$\mathcal{E}(G)$ of a simple graph G is the sum of absolute values of the eigenvalues of its adjacency matrix. The line graph of G   is denoted by L_G$L_G$. We obtain a relation between E(L_G)$\mathcal{E}(L_G)$ and E(G)$\mathcal{E}(G)$, and establish bounds on E(L_G)$\mathcal{E}(L_G)$. Moreover, we present results pertaining to equienergetic and hyperenergetic graphs.