{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,1]],"date-time":"2025-10-01T15:32:42Z","timestamp":1759332762944,"version":"3.37.3"},"reference-count":27,"publisher":"World Scientific Pub Co Pte Ltd","issue":"02","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11801521"],"award-info":[{"award-number":["11801521"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2021,4]]},"abstract":"<jats:p> Let [Formula: see text] be a simple graph of order [Formula: see text] with vertex set [Formula: see text] and edge set [Formula: see text]. The arithmetic\u2013geometric matrix [Formula: see text] of [Formula: see text] is a matrix of order [Formula: see text] defined by [Formula: see text] if [Formula: see text] and 0 otherwise, where [Formula: see text] stands for the degree of the vertex [Formula: see text] in [Formula: see text]. The arithmetic\u2013geometric characteristic polynomial of [Formula: see text] is the characteristic polynomial of [Formula: see text]. The arithmetic\u2013geometric energy [Formula: see text] of [Formula: see text] is the sum of absolute values of all eigenvalues of [Formula: see text]. In this paper, we obtain the arithmetic\u2013geometric characteristic polynomial and arithmetic\u2013geometric energy of some specific graphs. In addition, we also consider the arithmetic\u2013geometric characteristic polynomial and arithmetic\u2013geometric energy change of these graphs when one edge is deleted. <\/jats:p>","DOI":"10.1142\/s1793830921500051","type":"journal-article","created":{"date-parts":[[2020,8,16]],"date-time":"2020-08-16T10:14:49Z","timestamp":1597572889000},"page":"2150005","source":"Crossref","is-referenced-by-count":5,"title":["Arithmetic\u2013geometric energy of specific graphs"],"prefix":"10.1142","volume":"13","author":[{"given":"Lu","family":"Zheng","sequence":"first","affiliation":[{"name":"Department of Mathematics, Zhejiang Normal University, Jinhua 321004, P. R. China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1942-7816","authenticated-orcid":false,"given":"Gui-Xian","family":"Tian","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Zhejiang Normal University, Jinhua 321004, P. R. 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