2024 Prime labeling of graphs

Prime labeling of graphs

Author: hdss

August undefined, 2024

WebIn 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 …

Computation of Narayana Prime Cordial Labeling of Book Graphs

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. WebA binary vertex labelling of a graph G is called a cordial labeling if the vertices and edges labeled by 0 and 1 differ at most by 1 and a graph G is cordial if it admits cordial labelling. Definition 3. A prime labelling of a graph G is an bijective function f : V(G) o{1,2,…, p}. Such that for every pair of adjacent those in favor of ratifying the constitution

Coprime and Prime Labelings of Graphs - arXiv

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 … Web0 Likes, 0 Comments - DISTRIBUTOR ALBARIZK UMMA (@albarizk_umma_jateng) on Instagram: "Bismillah .. MashaAllah Tabarakallah .. . Milly Mom and Kids Dress Only ... WebParthiban and N. Gnanamalar David, On Prime Distance Labeling of Graphs, Lecture Notes in Computer Science, (31) (2024), pp 238-241. 7. A. under armour loose coupe lache heatgear

LINEAR PRIME LABELING OF SOME DIRECT TREE GRAPHS

WebA graph which admits prime labeling is called a prime graph. The notion of a prime labeling was introduced by Roger Entringer and was discussed in a paper by (Tout, A,1982, p.365 … WebJun 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 … under armour long sleeve undershirtWebJul 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. under armour long sleeve with thumb holes

"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 … " - Prime labeling of graphs

Prime labeling of graphs

Prime Cordial Labeling of Some Graphs Semantic Scholar

WebJan 11, 2024 · A graph which admits total prime labeling is called total prime graph. We prove that the graph obtained by subdivision of pendent edges of Stars, Bistars, Coconut … WebMay 1, 2024 · A graph G is a prime distance graph (respectively, a 2-odd graph) if its vertices can be labeled with distinct integers such that for any two adjacent vertices, the …

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WebAug 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. … Webprime 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 ...

WebJun 1, 2024 · A bijection from the vertex set V of a graph G to {1,2,… V } is called a prime cordial labeling of G if each edge uv is assigned the label 1 if gcd (f (u), f (v)) = 1 and 0 if gcd (f (u), f (v)) > 1, where the number of edges labeled with 0 and the number of edges labeled with 1 differ at most by one. In this paper we prove that 8-polygonal snake containing n … 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. 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 …

WebOct 27, 2016 · Prime Labeling of Ladders. Ebrahim Ghorbani, Sara Kamali. A prime labeling of a graph with vertices is a labeling of its vertices with distinct integers from in such a way that the labels of any two adjacent vertices are relatively prime. T. Varkey conjectured that ladder graphs have a prime labeling. We prove this conjecture.

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 … those individualsWebConsecutive 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, … under armour loose coldgear sweatpantsWebA prime labeling of book graph is shown below in the Figure 10. Figure 10. Prime Labeling of 4. Prime Labeling of Wheel Related Graphs In this section, we highlight the prime labeling … under armour long underwear for womenWebDec 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 and A. Ezhil. Total prime labeling of some cycle and path related graphs, Journal of Emerging Technologies and Innovative Research, Vol. 6 Issue 4, April 2024 [ISSN-2349-5162]. those incredible animalsWebJun 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 … those indirect speechWebJul 5, 2024 · A graph has a prime labeling if the vertices of G can be labeled distinctly with the integers {1, 2, …, n}, where n is the number of vertices, such that any two adjacent … under armour long sleeve running tops womenWebA 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. those in darkness have seen a great light