Graceful labelling journals
WebOct 15, 2016 · Graceful set-labelings and sequential set-labelings are the two major types of set-valuations defined for given graphs and discussed in different studies. The notion of a graceful set-indexer has been introduced in Acharya ( 2001 ), as given below. Definition 1.3 WebOne such graph labeling technique is the edge graceful labeling introduced by Lo [5]. In 1985 as a bijective, from the set of edges to the set such that the induced map from to given by is a bijective. The graph that admits a graceful labeling is called a graceful graph.
Graceful labelling journals
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WebDOAJ is a unique and extensive index of diverse open access journals from around the world, driven by a growing community, committed to ensuring quality content is freely available online for everyone. ... We determine the radio number of all diameter 3 Hamming graphs and show that an infinite subset of them is radio graceful. Keywords. radio ... WebIndira P, Selvam B, Thirusangu K, Pell Labeling and Mean Square Sum labeling for the Extended Duplicate Graph of Quadrilateral Snake, Advances and Applications in Mathematical Sciences, 20(9) (2024), 1709-1718. Muthuramakrishnan D, Sutha S, Some Pell Graceful Graphs, International Journal of Scientific Research and Review, 8(7) …
WebGraceful graphs were first studied by Rosa in 1966. The Kotzig-Ringel graceful tree conjecture states that every tree has a graceful labeling. Aldred and McKay and others … WebApr 1, 2009 · Journals & Books; Search; ... July 1966), Gordon and Breach, N. Y. and Dunod Paris (1967) 349-355] and the concept of an edge graceful labeling was introduced by Lo [S. Lo, “On edge graceful labeling of graphs”, Congress Numer., 50(1985) 231-241]. We introduced a new type of labeling called an edge - odd graceful labeling (EOGL)[A ...
WebA graceful labelling; vertex labels are in black and edge labels in red A graph is known as graceful when its vertices are labeled from 0 to E , the size of the graph, and this labelling induces an edge labelling from 1 to E . For any edge e, the label of e is the positive difference between the two vertices incident with e. WebA graph which admits a graceful labelling is called a graceful graph. In 1991, Gnanajothi [ 6] introduced a labelling of G called odd graceful labelling which is an injection f from …
WebJul 6, 2024 · The notion of graph labeling techniques evolved while people tried to address the problems involving graph decomposition. Alaxander Rosa [] introduced varieties of graph labeling schemes including the most widely explored graceful and alpha labelings.Rosa [] defined a \(\beta \)-valuation f of a graph \(G = (V(G),\, E(G))\) with q edges as an …
Webthe electronic journal of combinatorics, 5 (2005), #DS6 6 2 Graceful and Harmonious Labelings 2.1 Trees The Ringel-Kotzig conjecture that all trees are graceful has been the focus of many papers. Kotzig [311] has called the e ort to prove it a \disease." Among the trees known to be graceful are: caterpillars [493] (a caterpillar is a tree with ... hilda spearsWebWe show that all spider graphs with at most four legs of lengths greater than one admit graceful labeling. 1. Introduction. Labeled graphs form useful models for a wide range of disciplines and applications such as in coding theory, X-ray crystallography, radar, astronomy, circuit design, and communication network addressing [ 1 ]. smallville season 1 episode 16 casthttp://math.fau.edu/yiu/PSRM2015/yiu/New%20Folder%20(4)/Downloaded%20Papers/GraphLabelling050120.pdf hilda solis cindy chenWebDec 6, 2012 · On the basis of pre-defined graph labeling technique discussed in [2], we introduce a new concept of labeling known as G … hilda speedpaintWebJul 4, 2014 · The odd graceful labeling is one of the most widely used labeling methods of graphs [18]. While the labeling of graphs is perceived to be a primarily theoretical subject in the field of graph theory and … hilda solis care first village los angelesWebLet G (V(G), E(G)) be a graph with n vertices is said to be Binary Equivalent Decimal Edge Graceful Labeling (BEDE) graph if the vertices are assigned distinct numbers from 0,1,2,…,(n-1) such that th hilda solis reelectionWebGraceful 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 value … smallville season 1 episode 4 cast