THE IDENTIFYING CODE NUMBER AND FUNCTIGRAPHS | ||
| Journal of Algebraic Systems | ||
| دوره 10، شماره 1، آذر 2022، صفحه 155-166 اصل مقاله (173.86 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2021.9902.1487 | ||
| نویسندگان | ||
| A. Shaminejad* ؛ E. Vatandoost | ||
| Department of Mathematics, Imam Khomeini International University, P.O. Box 3414896818, Qazvin, Iran. | ||
| چکیده | ||
| Let G = (V (G); E(G)) be a simple graph. A set D of vertices G is an identifying code of G; if for every two vertices x and y the sets N_G[x] \ D and N_G[y] \ D are non- empty and different. The minimum cardinality of an identifying code in graph G is the identifying code number of G and it is denoted by gamma ID(G): Two vertices x and y are twin, when N_G[x] = N_G[y]: Graphs with at least two twin vertices are not identifiable graphs. In this paper, we deal with identifying code number of functigraph of G: Two upper bounds on identifying code number of functigraph are given. Also, we present some graph G with identifying code number |V (G)| - 2. | ||
| کلیدواژهها | ||
| Idenntifying code؛ identifiable graph؛ functigraph | ||
| مراجع | ||
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