Graceful labelling of mongolian tent graph
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 WebGraceful labeling of digraphs. One can obtain a graceful labeling for directed graphs having no loops and no parallel arcs analogous to that of graphs by defining an arc …
Graceful labelling of mongolian tent graph
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WebOn Gracefulness of Union of Mongolian Tents with Some Graphs Sin-Min Lee, Uuganbaatar Ninjbat, Alex Jialong Sun* Sacramento Waldorf School, Fair Oaks, CA … 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.
WebThe 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 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 …
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
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 …
WebA graph is called graceful if it has at least one such labeling. This labeling was originally introduced in 1967 by Rosa. The name graceful labeling was coined later by Golomb. Gracefully labeled graphs serve as models in a wide range of applications including coding theory and communication network addressing. how to report facebook hacked accountWebIt 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 … north brooklyn coalitionWebendpoints. Figure 1 gives an example of a graceful label-ing. A graph is said to be graceful if it admits a graceful labeling. Not all graphs are graceful. Intuitively speak-ing, the gracefulness property reveals a certain hidden regularity of the graph. More formally, a graceful label-ing of a graph is de ned as follows: De nition (Graceful ... northbrook luxury apartmentsWebMar 1, 2024 · If G admits 2-odd labelling, then it is called a 2-odd graph”. In this paper, 2-odd labelling of some well-known graphs are derived, besides highlighting some interesting applications of graph labelling in satellite communication. Keywords Graph labelling 2-odd labelling 2-odd graph Satellite communication Download conference paper PDF how to report facebook page stolenhow to report fake hmrc phone callsWebUniversity of South Carolina how to report fake checkWebMar 1, 2024 · If rmn(G) = V(G) , we call such graphs as radio mea graceful. In this paper, we find the radio mean number of subdivision graph of complete graphs, Mongolian … how to report facebook account is hacked