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Prime labeling of graphs

WebConsecutive prime labeling requires that the labels of vertices in a graph be relatively prime to the labels of all adjacent vertices as well as all inci-dent edges. We show that all paths, … WebDec 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 …

On odd prime labeling of graphs – PISRT

WebMar 31, 2024 · If G assumes a Narayana prime cordial labeling, then it is known as a Narayana prime cordial graph. Remark 1. We call the Narayana prime cordial labeling of a graph as NPC labeling of a graph for simplicity in this paper. Theorem 1. The web graph W(2, n) is a NPC graph. Proof. Let W(2, n) be the web graph with \(3n+1\) vertices and 5n … WebAbstract: A graph G = (V, E) with p vertices is said to admit prime labeling if its vertices can be labeled with distinct positive integers not exceed p such that the label of each pair of adjacent vertices are relatively prime. A graph which admits prime labeling is … the lox songs https://thecircuit-collective.com

PRIME LABELLING OF SOME SPECIAL GRAPHS - IOSR Journals

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 ... WebThe labels represent shift hours: hours at one station before a guard is replaced by a fresh guard. Then a prime labeling ensures that when there is a change of guard at one station, … 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 … the lox restaurant

LINEAR PRIME LABELING OF SOME DIRECT TREE GRAPHS

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Prime labeling of graphs

On Prime Labeling of some Classes of Graphs - ijcaonline.org

WebAbstract: A prime cordial labeling of a graph G with vertex set V is a bijection f from V to {1, 2, ..., V } 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. In this paper we exhibit some ... WebAbstract. A prime labeling on a graph G of order n is a bijection from the set of vertices of G into the set of first n positive integers such that any two adjacent vertices in G have …

Prime labeling of graphs

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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. WebA 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 relatively prime. A graph which admits prime labeling is called a prime graph. In this paper we investigate prime labeling for some fan related graphs.

WebMar 24, 2024 · A graph is called cordial if it is possible to label its vertices with 0s and 1s so that when the edges are labeled with the difference of the labels at their endpoints, the number of vertices (edges) labeled with ones and zeros differ at most by one. Cordial labelings were introduced by Cahit (1987) as a weakened version of graceful and … 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 …

WebJul 10, 2013 · If a graph has a 3-equitable prime cordial labeling, then it is called a 3-equitable prime cordial graph. In this paper, we investigate the 3-equitable prime cordial labeling behaviour of paths, cycles, star graphs and complete graphs. WebA coprime labeling of a simple graph of order n is a labeling in which adjacent vertices are given relatively prime labels, and a graph is prime if the labels used can be taken to be the first npositive integers. In this paper, we consider when ladder graphs are prime and …

WebMay 1, 2024 · This article presents a short and concise survey on prime graphs. The field of graph theory plays a vital role in various fields. One of the important areas in graph theory …

http://hlfu.math.nctu.edu.tw/getCourseFile.php?CID=356&type=browser the lox vinylWebJun 30, 2014 · A graph is called prime if it has a prime labeling. In this paper, we introduce to consider the extremal prime labeling graphs with the maximum number of edges. In … the lox ticketsWebIn this paper, we show that the Cubic graph on 12 vertices admits prime labeling, we also proved that the graphs obtained by merging (or) fusion of two vertices, Duplication of an arbitrary vertex and Switching of an arbitrary vertex … tic tac toe on forehead