[PDF] Top 20 Missing Numbers in K Graceful Graphs

... natural numbers) either even or odd. In -graceful labeling of , and hairy cycle , there are missing ...obtain missing numbers for and has been ...are missing numbers and ... See full document

... 2. Main results. Given a natural number n one can generate a graph D(n) that reflects the structure of divisors of n as follows. The vertices of the graph represent all the divisors of the number n , each vertex is ... See full document

... harmonious graceful graph by additive bases in ...that graphs obtained by adding a pendent vertex of hair cycle ʘ are graceful if ...the missing numbers in the graceful labeling ... See full document

... bar k-visibility graph is one that admits two bars b(u) and b(v) corresponding to vertices u and v respectively to see one another if and only if the straight-line channel between them intersects at most k ... See full document

... We assume that all graphs G = (V (G), E(G)) considered throughout this paper are finite, simple, and undirected connected graphs. The basic graph theoretic concepts are adapted from [1] and [7]. The ... See full document

... as graceful labeling by Golomb [9]. A graceful labeling of a graph G with ‘q’ edges and vertex set V is an injection f :V(G) → ...a graceful labeling is called a graceful ...of graceful ... See full document

... Clearly f is a 1-1 mapping of V(G) → {0, 1, 2, .... 2M-1} And the edge labels are distinct and are in the set {1, 3, 5, .... 2M-1}. From the above vertex labeling it is seen that the above graph is odd graceful. ... See full document

... 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] ... See full document

... 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, ... See full document

... The main contribution of this paper is the method for computing and bounding z(m, n; s) for small s > 2, and the results obtained by using it. The background to the method and the method itself are presented in ... 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

... cover numbers for graphs, generalizing the signed star domination numbers, the signed star k- domination numbers and the signed b-edge cover numbers in ... See full document

... The definitions and results are in reference to [2]-[3]. The distance related parameter diameter is the maximum of the distances in a graph. The concept of diameter is analysed in networks in [1], [5]. The total graph T ... See full document

... B with | A | = | B | = 2t 2 by adding edges between A and X and B and Y such that each vertex in A is joined to exactly 2 vertices in X, each vertex in X is joined to exactly 2t vertices in A, and each vertex in B is ... See full document

... of a result in Ramsey Theory is a theorem due to Van der Waerden [18], which says that for for any k and r ≥ 1 there is a number W (k, r), such that any colouring of the numbers 1, 2, . . . , W ... See full document

... multitype graphs can be used to study the multi-species in ecology and have been deeply studied, see [23] ...competition graphs may be more realistic and more ... See full document

... Rochester Institute of Technology RIT Scholar Works Theses Thesis/Dissertation Collections 5-18-2010 Rank numbers for graphs with paths and cycles Jacqueline McClive Follow this and addi[r] ... See full document

... Let the dominating set D  { , } x y . Suppose, x and y satisfy the hypothesis of the theorem, since x alone dominates S 1 , there is no vertex in S 3  {1, 2,....., }/ { } i x that can dominates S 2 . Let j be any ... See full document

... Fact 12 [9] For any r ≥ 2, there is a (r, 2, (r -1)(r-1))-regular graph on 4 x 2 r-2 vertices. Fact 13 [10] For any r ≥ 2 , there is a (r, 2, (r -2)(r-1)-regular graph on 3 x 2 r-2 vertices. Fact 14 [11] For any r ≥ 3, ... See full document

... Let G = G(V,E) be a finite, simple and undirected graph with p vertices and q edges. By a labeling we mean a one-to-one mapping that carries a set of graph elements onto a set of numbers called labels(usually the ... See full document