2024 Prime labeling of graphs

Prime labeling of graphs

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August undefined, 2024

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 ... 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 …

(PDF) Prime labeling of special graphs - ResearchGate

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 … Web0 Likes, 0 Comments - DISTRIBUTOR ALBARIZK UMMA (@albarizk_umma_jateng) on Instagram: "Bismillah .. MashaAllah Tabarakallah .. . Milly Mom and Kids Dress Only ... free citation software download

ON FINITE PRIME DISTANCE GRAPHS SpringerLink

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 … 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 … 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 … blog comments graphic

Hamiltonicity of a Coprime Graph SpringerLink

Graph Labelings: A Prime Area to Explore SpringerLink

WebParthiban and N. Gnanamalar David, On Prime Distance Labeling of Graphs, Lecture Notes in Computer Science, (31) (2024), pp 238-241. 7. A. 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 ... blog commenting sites freeWebApr 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. blog coolmate

"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 " - Prime labeling of graphs

Prime labeling of graphs

Total prime labeling of some subdivision graphs - AIP Publishing

WebJul 12, 2024 · Let G be a simple graph with n vertices. A prime labeling of G is a labeling of its vertices with distinct integers from \(\{1, 2,\ldots ,n\}\) in such a way that the labels of any two adjacent vertices are relatively prime. We say that G is prime if it has a prime labeling. The coprime graph of integers (see [16, Section 7.4]) has the set of all integers … 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.

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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. 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 …

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, … WebDec 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 …

WebDec 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]. 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 ...

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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 … blog comment writing englishWebMar 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 … blog commenting list + home improvementWebJun 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 … blog content creation softwareWebGraph 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. free citations onlineWebA 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 … free citations purduehttp://hlfu.math.nctu.edu.tw/getCourseFile.php?CID=356&type=browser free citb revisionWebConsecutive 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, … blog commanders act