Bounds for graph energy in terms of vertex covering and clique numbers

Let G be a simple graph with n vertices, m edges and having adjacency eigenvalues λ1, λ2, ..., λn. The energy E(G) of the graph G is defined as E(G) = ∑i = 1n∣λi∣. In this paper, we obtain the upper bounds for the energy E(G) in terms of the vertex covering number τ, the clique number ω, the number...

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Main Authors: Ganie, Hilal A.; Department of Mathematics, University of Kashmir, Srinagar, Kashmir, India (Author), Samee, U.; Department of Mathematics, Islamia College for Science and Commerce, Srinagar, Kashmir, India (Author), Pirzada, S.; Department of Mathematics, University of Kashmir, Srinagar, Kashmir, India (Author), Alghamadi, Ahmad M.; Department of Mathematical Sciences, Umm Alqura University, Makkah, Saudi Arabia (Author)
Other Authors: SERB-DST (Contributor)
Format: EJournal Article
Published: GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB, 2019-10-10.
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