https://rajpub.com/index.php/jam/issue/feedJOURNAL OF ADVANCES IN MATHEMATICS2025-03-08T14:47:19+00:00Editorial Officeeditor@rajpub.comOpen Journal Systemshttps://rajpub.com/index.php/jam/article/view/9697Solving cubic and quartic equations by means of Vieta's formulas2024-12-25T11:31:54+00:00Miloš Čojanovićmcojanovic@yahoo.com<p>In this paper, we will prove that with the use of Vieta's formulas, it is possible to apply a unified method in solving equations of the third and fourth degree.</p>2025-02-04T00:00:00+00:00Copyright (c) 2025 Miloš Čojanovićhttps://rajpub.com/index.php/jam/article/view/9714Ordering Unicyclic Graphs with a Fixed Girth by p-Sombor Indices2025-03-08T14:47:19+00:00Ting Liasltsdd@sina.comBingjun li23818936@qq.com<p>The p-Sombor index of a graphs G is deffned as, SOp(G) = X xy∈E(G) (d p (x) + d p (y)) 1 p , where d(x) represents the degree of vertex x in graph G. Our focus centers on exploring the p-Sombor index of unicyclic graphs, speciffcally addressing graphs with a predetermined girth. We determine the ffrst four smallest p-Sombor index and identifying the corresponding graphs that achieve these extremes.</p>2025-03-28T00:00:00+00:00Copyright (c) 2025 Ting Li, Bingjun li