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New Concept of Finite Group (Zp^n q) on the Sum Graph with Some Topological Indices | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Volume 17, Issue 1, June 2023, Pages 83-89 PDF (1.85 M) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2023.179483 | ||
| Authors | ||
| Mahera R. Qasem* 1; Akram S. M.2; nabeel arif3 | ||
| 1Department of Mathematics, College of Education for pure Science, University of Tikrit, Iraq | ||
| 2Department of Mathematics, College of Computer Science and Mathematics University of Tikrit, IRAQ | ||
| 3Department of Mathematics, College of Computer Science and Mathematics, University of Tikrit, Iraq | ||
| Abstract | ||
| In this paper, we study the extended graph theory in the sum group via Zpnq which is Zpnq by two distinct orders, the sum is greatest than the order of the group Zpnq where p,q are prime numbers. We have some results that the group sum graph of Zpnq are connected, cyclic, etc., if they satisfy some properties of the graph theory and compute all the degrees of graphs. Furthermore, we shall calculate the famous topological indices via generalized it. | ||
| Keywords | ||
| Group sum graph; Euler graph; Hamilton graph; Zagreb index; Forgotten index | ||
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