[PDF] Top 20 Some Adjacent Edge Graceful Graphs

... of adjacent edge graceful labeling was first introduced in ...on adjacent edge graceful labeling of graphs and some non- adjacent edge graceful ... See full document

... All graphs in this paper are finite, simple and undirected ...of edge graceful labeling was first introduced in [2] and the concept of strong edge graceful labeling was introduced in ... See full document

... the avd-colorings of graphs, see [3–5, 7–9, 11, 13–16, 18]. A bicyclic graph is a connected graph in which the num- ber of edges equals the number of vertices plus one. In this paper, we investigate the ... See full document

... the adjacent vertex distinguishing edge-coloring of G [ H ] is ...of adjacent vertex distinguishing edge-coloring of lexicographic product G [ H ] for any two graphs G and H is equal to ... See full document

... from edge to edge; they called this replacement, ...a graceful labeled graph, some specific labeled subgraphs by some analogous ... See full document

... The tables which are constructed in the theorem1 and theorem2 are not unique. There are many ways to construct the tables but in every way the required minimum no. of colours for avd edge colouring in the table is ... See full document

... again have some more cases to consider, depending on the values of i, and j. When 1 6 i 6 r, or p(n − 1) + r + 1 6 i 6 min{(p + 1)(n − 1) + r, m}, then similar to Case(1), and Case(2), we can easily observe that q ... See full document

... 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 ... See full document

... each edge xy is assigned the label or weight |  (x) -  (y)|, the resulting edge labels are {1, 3, 5, …, ...odd graceful graphs lies between the class of graphs with α-labelings and ... See full document

... Proof: Let H be the kC 4 -snake with k blocks, so the number of vertices of H is 3 k + 1 and the number of edges of H is 4 . Let G be the super graph of H such that G is the k complete m-points projection on the disjoint ... See full document

... pendent edge to each vertex of C n ) if and only if n is even ; the disjoint union of copies of C 4 ; the one-point union of copies of C 4 ; C n × K 2 if and only if n is even; caterpillars; rooted trees of height ... See full document

... be graceful labeling and the graph is called a graceful graph, while is called an induced edge’s graceful ...of graceful labeling that introduced by Slater [11] in 1982 and by Maheo and ... See full document

... is adjacent to some vertex in ...an edge dominating set if each edge in E is either in F or is adjacent to an edge in F ...An edge dominating set F is called minimal if no ... See full document

... the edge version of geometric-arithmetic index introduced based on the end-vertex degrees of edges in a line graph of G which is a graph such that each vertex of L(G ) represents an edge of G; and two ... See full document

... and means f (e) = 0 and since f : E(G) → {0,1,2} is –function, then any edge must be adjacent to edge h , i.e.,f (h) = 2 and in the function g : E(G) → {1,2}, if then g( h ) = {1,2}. Hence g : E(G) ... See full document

... A graceful labeling of a graph G of size n is an injective assignment of integers from {0, 1, ...each edge of G has assigned a weight, given by the absolute difference of the labels of its end vertices, the ... See full document

... and graceful graphs was introduced by ...odd graceful graphs and she has proved many ...and graphs obtained fromthem by subdividing each step exactly ... See full document

... of graceful labeling for digraphs also. Lo [6] introduced the idea of edge graceful ...more graphs. Lee et al [8] defined super edge graceful labeling for some undirected ... See full document

... We look at a computer network as a connected undirected graph. A network designer may want to know which edges in the network are most important. If these edges are removed from the network, there will be a great ... See full document

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