TY - JOUR AU - Montenegro, Eduardo PY - 2018/04/02 Y2 - 2024/03/29 TI - Graph with given automorphic group and given nuclear number JF - Proyecciones (Antofagasta, On line) JA - Proyecciones (Antofagasta, On line) VL - 11 IS - 1 SE - DO - 10.22199/S07160917.1992.0001.00004 UR - https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/2598 SP - 21-28 AB - <p>In 1938, Frucht proved that every finite group may be represented by a graph; in other words, given any finite group H, there is graph G whose automorphism group is isomorphic to H. Starting from this result a great many mathematicians have studied the following problem: "Given a finite group H and given a property P, is there a graph G that represents H and that satisfies the property P ?"</p><p>The aim of this paper is to solve a problem of such characteristics. The statement we get is the following: "Every finite group H may be represented by a graph G whose nuclear number is n ? 2 , where n is a given positive integer "</p> ER -