{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T16:39:11Z","timestamp":1740155951996,"version":"3.37.3"},"reference-count":24,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2019,2]]},"abstract":"<jats:p>Let [Formula: see text] be a simple graph of order [Formula: see text], without isolated vertices. Denote by [Formula: see text] the adjacency matrix of [Formula: see text]. Eigenvalues of the matrix [Formula: see text], [Formula: see text], form the spectrum of the graph [Formula: see text]. An important spectrum-based invariant is the graph energy, defined as [Formula: see text]. The determinant of the matrix [Formula: see text] can be calculated as [Formula: see text]. Recently, Altindag and Bozkurt [Lower bounds for the energy of (bipartite) graphs, MATCH Commun. Math. Comput. Chem. 77 (2017) 9\u201314] improved some well-known bounds on the graph energy. In this paper, several inequalities involving the graph invariants [Formula: see text] and [Formula: see text] are derived. Consequently, all the bounds established in the aforementioned paper are improved.<\/jats:p>","DOI":"10.1142\/s1793830919500010","type":"journal-article","created":{"date-parts":[[2018,11,8]],"date-time":"2018-11-08T02:44:50Z","timestamp":1541645090000},"page":"1950001","source":"Crossref","is-referenced-by-count":1,"title":["A note on the relationship between graph energy and determinant of adjacency matrix"],"prefix":"10.1142","volume":"11","author":[{"given":"Igor \u017d.","family":"Milovanovi\u0107","sequence":"first","affiliation":[{"name":"Faculty of Electronic Engineering, University of Ni\u0161, Aleksandra Medvedeva 14, P.O. 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