Graceful labelling of mongolian tent graph

Author: sbkc

August undefined, 2024

WebIn this paper, we have obtained the radial radio mean number of Mongolian tent and diamond graphs. Keywords: Radio labeling, Radial radio labeling, Radial radio mean labeling, Radial radio mean graceful labeling, Mongolian tent graph I. INTRODUCTION In this paper we have considered only simple, finite and connected graphs. WebInterest in graph labeling began in mid-1960s with a conjecture by Kotzig-Ringel and a paper by Rosa[90]. In 1967, Rosa published a pioneering paper on graph labeling …

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WebA Mongolian tent graph is defined as the graph obtained from the grid graph P_m square P_n for odd n by adding an extra vertex above the graph and joining every other vertex of the top row to the additional vertex (Lee 1985; Gallian 2011, p. 14). The (2,3)-Mongolian tent graph is isomorphic to the 3-gear graph. Mongolian tent graphs are graceful … WebIn this paper we have considered only simple, finite and connected graphs. In telecommunication systems, the most challenging problem is to assign frequencies to different radio channels such that there is no interference between any two transistors ... Radial Radio Mean Labeling of Mongolian Tent and Diamond Graphs. International … chuze fitness corporate phone number

Radial Radio Mean Labeling of Mongolian Tent and Diamond Graphs

WebPeople believe that it would be rare to encounter a ^-graceful graph in the class of all bipartite graphs. In [5], Lee and Ng exhibited a classe of fc- graceful bipartite graphs … WebGraphs for which the largest label used is same as the order of the graph are called radio graceful. In [10], [11] the authors study this concept of radio gracefulness of a graph. The idea of radio mean labeling of graphs was conceived the paper [5], published in the year 2015. The radio mean labeling of a connected graph G was defined as an ... http://fs.unm.edu/IJMC/ANoteon3-RemainderCordialLabelingGraphs.pdf dfw auto show 2022

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Graceful labelling of mongolian tent graph

Graceful Labelling: State of the Art, Applications and Future ...

WebNov 6, 2024 · An edge-graceful labeling of a finite simple graph with p vertices and q edges is a bijection from the set of edges to the set of integers {1,2,…,q} such that the vertex sums are pairwise... Web3.1. Graceful labeling of a directed tree. The most studied problem of graceful labeling of graphs is to determine if all trees are graceful.A history of this problem is given in [] and [].As was explained there, it would not be difficult to label any tree gracefully, if graceful trees could be relabeled gracefully so that any specified vertex could be labeled by zero.

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WebJan 1, 2016 · The Cordial labeling of graph G is an injection f: V (G) → {0,1} such that each edge uv in G is assigned the label f (u) - f (v) with the property that vf (0) - vf (1) ≤ 1 … WebJun 16, 2024 · Assume, to the contrary, that B is graceful. Since the size of B is 6, the five vertices of B must be labeled with five of the seven labels 0, 1, \ldots , 6 in such a way that the labels of the edges of B are 1, 2, \ldots , 6. That is, the edges of B must be labeled with three even integers and three odd integers.

WebA Mongolian tent graph is defined as the graph obtained from the grid graph for odd by adding an extra vertex above the graph and joining every other vertex of the top row to the additional vertex (Lee 1985; Gallian … WebA graph which has a graceful labelling is called a graceful graph. A further restriction on the arrangement of the vertex labels gives us an -labelling. Deﬁnition 2. Let m= E(G) .An -labelling of a graph G is a graceful labelling with the further condition that there exists some k ∈{0,...,m} such that for an arbitrary edge uv ∈ E(G) either

WebThe Cordial labeling of graph G is an injection f : V (G) → {0, 1} such that each edge uv in G is assigned the label f(u)− f(v) with the property that vf (0)− vf (1) ≤ 1 and ef (0) − ef … WebIn this paper we have considered only simple, finite and connected graphs. In telecommunication systems, the most challenging problem is to assign frequencies to …

Web35 rows · Mar 24, 2024 · A graceful labeling (or graceful numbering) is …

Webgraphs such as extended grids, Mongolian Tent etc. Labeling in graph theory has been one of the most fascinating and happening topics with a lot of variety and applications. … chuze fitness craycroft and grantWeba) The Mongolian tent Mt 2, is a planar graph with 5 vertices, 6 edges and diameter 2. We have rn(Mt 2) jV(Mt 2)j= 5: The radio labeling cof Mt 2 represented in Fig. 1 (a), shows … dfw average incomeWebedges. Gee-Choon Lau et al. [9] constructed new super graceful graph, by deleting an edge and adding a new edge from super graceful graph under some conditions. They also obtained new super graceful graphs by attaching k pendent edges to a vertex of a super graceful graphs. In this thesis, we concentrate our work on construction and enumeration chuze fitness - cudahyWeb‪Assistant Professor of Mathematics‬ - ‪‪Cited by 3‬‬ - ‪Graceful labeling‬ - ‪cordial labeling‬ dfw average daily temperatureWebIt can be seen that Complete graph, Complete bipartite graph and star graph satisfies the condition and hence they are said to be radial radio mean graceful labeling. Further in … dfw average gas priceWebJul 31, 2024 · A mapping φ: V (G) N ∪ 0 { } for a connected graph G (V, E) is called a radial radio labelling if this satisfies the inequality φ (a) − φ (b) +d (a, b) ≥ ρ +1∀a, b ∈ V (G), where ρ is the... dfw average monthly temperaturesWebThe origin of the graph labeling problem is graceful labeling which was introduced by Rosa [11] in ... labeling behavior of prism, Mongolian tent, book, young tableau, K m × P 2, torus grids, n-cube. Also we have proved that if G 1 and G 2 are (p 1,q 1) and (p 2,q 2) graphs with q 1 ≥ p chuze fitness day pass