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Graceful labeling

Odd Graceful Labeling of Cycle with Parallel Pk Chords

Odd Graceful Labeling of Cycle with Parallel Pk Chords

... Many mathematicians have introduced different types of graph labeling techniques in the past five decades. This paper deals with one of the types of graph labeling namely odd graceful ...

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Edge even graceful labeling of some graphs

Edge even graceful labeling of some graphs

... even graceful labeling is called an edge even graceful ...even graceful labeling of the Peterson graph and the complete graph K 5 ...

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Edge Odd Graceful Labeling for Different Paths using Padavon Sequence

Edge Odd Graceful Labeling for Different Paths using Padavon Sequence

... 2.3:Edge-odd graceful graph: The edge odd graceful labeling of a graph G with q edges means that there is an injection f : V(G) to { 0,1,1,1,2,…,2q+i/i= 1 to n} such that when each edge uv is ...

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On Odd Graceful Labeling of the Generalization of Cyclic Snakes

On Odd Graceful Labeling of the Generalization of Cyclic Snakes

... Badr and Abdel-aal [7] proved that an odd graceful labeling of the all subdivision of double triangular snakes 2 k -snake.. They proved that the all subdivision of 2 m 1 -snake are od[r] ...

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Odd Graceful Labeling of the Revised Friendship Graphs

Odd Graceful Labeling of the Revised Friendship Graphs

... Graceful and odd gracefulness of a graph are two entirely different concepts. A graph may posses one or both of these or neither. In this paper we introduced the odd graceful labeling of the revised ...

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Graceful Labeling of Some Theta Related Graphs

Graceful Labeling of Some Theta Related Graphs

... be graceful. Labeling the nodes of G with distinct nonnegative integers and then labeling the e edges of G with the absolute differences between node values, if the graph edge numbers run from 1 to ...

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On Graceful Labeling of Some Bicyclic Graphs

On Graceful Labeling of Some Bicyclic Graphs

... be graceful. Labeling the nodes of G with distinct nonnegative integers and then labeling the e edges of G with the absolute differences between node values, if the graph edge numbers run from 1 to ...

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Super Edge-antimagic Graceful labeling of Graphs

Super Edge-antimagic Graceful labeling of Graphs

... -edge-antimagic graceful labeling of G if the edge-weights w(xy) = |g(x) + g(y) − g(xy)|, xy ∈ E(G), form an arithmetic progression starting from a and having a common difference ...-edge-antimagic ...

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Odd Graceful Labeling of Some New Type of Graphs

Odd Graceful Labeling of Some New Type of Graphs

... admits graceful labeling is called a graceful ...odd graceful labeling if f: V → {0, 1, 2, ...odd graceful labeling is called an odd graceful ...

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Pentagonal Graceful Labeling of Caterpillar Graphs

Pentagonal Graceful Labeling of Caterpillar Graphs

... pentagonal graceful labeling if its vertices can be labeled by non negative integers such that the induced edge labels obtained by the absolute difference of the labels of end vertices are the first 𝒒 ...

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Super Edge Graceful and Even Edge Graceful
Labeling of Cayley Digraphs

Super Edge Graceful and Even Edge Graceful Labeling of Cayley Digraphs

... graceful labeling. Bloom and Hsu [3],[4],[5] extended the concept of graceful labeling for digraphs ...edge graceful labeling for some undirected ...edge graceful ...

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On \(k\)-graceful labeling of pendant edge extension of complete bipartite graphs

On \(k\)-graceful labeling of pendant edge extension of complete bipartite graphs

... a graceful labeling of a graph G with m edges if f : V (G) → {0, 1, 2, ...graph labeling, first introduced by Rosa in 1967 as a β-valuation [12], was used as a tool for decomposing a complete graph ...

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Variation of Graceful Labeling on Disjoint Union of two Subdivided Shell Graphs

Variation of Graceful Labeling on Disjoint Union of two Subdivided Shell Graphs

... ( E ∪ E ) ∪ E ∪ (E ∪ E ) ∪ E = { 1, 4, 7, . . . , (3q- 5) , (3q- 2)}. If any of the edge label is 3n or 3n-1, n ≥ 1, then we would get a contradiction to the fact that ‘l’ is an integer. Thus it satisfies the hypothesis ...

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Duplication of some graph elements and absolute mean graceful labeling

Duplication of some graph elements and absolute mean graceful labeling

... to graceful labeling and introduced absolute mean graceful ...that graceful labeling is preserved even after duplication by vertex or edge in K m,n ...mean graceful ...

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Some Results on Graceful Labeling for Step Grid Related Graphs

Some Results on Graceful Labeling for Step Grid Related Graphs

... Makadia, Graceful labeling for Open Star of graphs, ...Makadia, Graceful Labeling for tensor product ot two path of odd lengths and some grid related graphs, ...

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Graceful labeling of arrow graphs and double arrow graphs

Graceful labeling of arrow graphs and double arrow graphs

... [1] A.Rosa, on certain valuation of graph, theory of graphs(Rome,july1966), Golden and Breach, N.Y. In: Graph Theory and computing (R.C.Read.Ed.) Academic press.[r] ...

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Some Results on Graceful Labeling for Step Grid Related Graphs

Some Results on Graceful Labeling for Step Grid Related Graphs

... In this paper we review the Berestycki and Nadal’s model of Dynamics of criminal activity and formation of crime hotspots.. We also propose adding repeated victimi[r] ...

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Square Graceful Labeling of Some Graphs

Square Graceful Labeling of Some Graphs

... A new parameter called star square graceful deficiency number of a graph is defined and the star square graceful deficiency number of the cycle 𝐶 3 is determine[r] ...

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Adjacent Edge Graceful Graphs

Adjacent Edge Graceful Graphs

... Graph labeling, where the vertices and edges are assigned real values or subsets of a set are subject to certain ...graph labeling can be found in ...edge graceful labeling was first ...

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Vol 7, No 6 (2016)

Vol 7, No 6 (2016)

... © 2016, IJMA. All Rights Reserved 156 Its induced map f + from f is defined by f + (xy) =│f (x)–f (y)│for each edges xy in G is injective. Thus the given graph has super Fibonacci graceful labeling from the ...

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