Prime labeling of graphs
WebGraceful labeling, Magic labeling, Prime labeling, and other different labeling techniques.In this paper the Prime labeling of certain classes of graphs are discussed.It is of interest to … WebIf V-D contains a dominating set D^\prime of G, then D^\prime is called an inverse dominating set with respect to D. Theminimum cardinality of an inverse dominating set of G is called inverse ... Dr. S. Meena, K. Vaithilingan, PRIME LABELING FOR SOME FAN RELATED GRAPHS, International Journal Of Engineering Research and Technology (IJERT), 9 ...
Prime labeling of graphs
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WebLinear prime labeling of a graph is the labeling of the vertices with {0,1,2-,p-1} and the direct edges with twice the value of the terminal vertex plus value of the initial vertex. The greatest common incidence number of a vertex (gcin) of in degree greater than one is defined as the greatest common divisor of the labels of the incident edges. WebApr 30, 2024 · Graph labeling is an area of extensive research with several different labelings having been introduced motivated by many application problems. A labeling, called prime distance labeling, assigns integer labels to the vertices of a graph such that the absolute difference of the labels of any two adjacent vertices is a prime number.
WebParthiban and N. Gnanamalar David, On Prime Distance Labeling of Graphs, Lecture Notes in Computer Science, (31) (2024), pp 238-241. 7. A. WebA graph that admits a prime labelling is called a prime graph. Definition 1.2 The flower F is the graph obtained from a helm H n by joining each pendent vertex to the apex of the …
WebA prime cordial labeling of a graph G with the vertex set V (G) is a bijection f : V (G) → {1, 2, 3, . . . , V (G) } such that each edge uv is assigned the label 1 if gcd(f(u), f(v)) = 1 and 0 if gcd(f(u), f(v)) > 1, then the number of edges labeled with 0 and the number of edges labeled with 1 differ by at most 1. A graph which admits prime cordial labeling is called prime … WebJun 16, 2024 · If there exists a prime labeling of G, then G is called a prime graph. This concept was originated by Roger Entringer (see [18]) around 1980. For example, the graph …
WebA graph \(G\) that admits a prime labeling is called a prime graph. The prime labeling of some families of graphs were studied by many authors. Entringer conjectured that all trees have prime labeling. Fu and Huang proved that all complete binary trees are prime.
WebGraph labeling is an assignment of integers to vertices or edges, or both, under certain conditions. In parallel with graph labeling, topological graph theory was introduced as the four-color map problem. It was finally proven in 1976 by using computerized checking. In 1977, Bloom and Golomb studied the applications of graph labeling. database inventory barangWebDec 28, 2012 · A graph with vertex set V is said to have a prime labeling if its vertices are labeled with distinct integer 1,2,3 such that for edge xy the labels assigned to x and y are … bitlife actingWebAug 5, 2024 · Prime labeling of graphs obtained by replacing every edge of a star graph by and . The graph obtained by attaching at each external vertex of the circular ladder graph. … database is already open and can onlyWebprime labelling of the graph G is a bijection from V onto {1, 2, …, n} such that incident vertices receive coprime images. Example: Use 1, 2, …, n to label a cycle of order n, C n, consecutiveyl. Then, C n has a prime labelling. Example: For n ≥ 4, K n does not have a prime labelling. It is not difficult to realize that the chance for a ... database is already openhttp://hlfu.math.nctu.edu.tw/getCourseFile.php?CID=356&type=browser database is being recoveredbitlife achievements not workingWebDec 4, 2024 · Total prime labeling of some graphs, International Journal of research In Advent Technology Research. Vol. 7, No. 1, January 2024. Google Scholar; 7. S. Meena … bitlife acting career