[PDF] Top 20 Snakes and Caterpillars in Graceful Graphs

... m may change from edge to edge; they called this replacement, supersubdivision. More general results about super subdivisions can be found in [2], [3], and [18]. In Section 3 we analyze this concept in more detail. ... See full document

... A graceful labeling of a graph G of size n is an injective assignment of integers from {0, 1, ...a graceful labeling f of a bipartite graph G assigns the smaller labels to one of the two stable sets of G, ... See full document

... are graceful by the Ringel-Kotzig ...be graceful are caterpillars, trees with at most 4-end vertices, trees with diameter at most 5, trees with at most 35 vertices, symmetrical trees, regular olive ... See full document

... [2] E. M. Badr, On the Odd Gracefulness of Cyclic Snakes With Pendant Edges, International journal on applications of graph theory in wireless ad hoc networks and sensor networks (GRAPH-HOC) Vol.4, No.4, December ... See full document

... graph is a path. Following Chartrand, Lesniak [4], by a block-cut-vertex graph of a graph G we mean the graph whose vertices are the blocks and cut-vertices of G where two vertices are adjacent if and only if one vertex ... See full document

... are graceful, has been the focus of many ...be graceful are caterpillars, trees with at most 4-end vertices, trees with diameter at most 5, trees with at most 35 vertices, symmetrical trees, regular ... See full document

... even; caterpillars; rooted trees of height 2; the graphs obtained from P n (n > 3) by adding exactly two leaves at each vertex of degree 2 of P n ; the graphs obtained from P n × P 2 by deleting ... See full document

... bipartite graphs, caterpillars, stars, lobsters, banana trees, rooted trees of height 2, ladders are one modulo three ...three graceful graph is ... See full document

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

... even graceful labeling is a new type of labeling since it was introduced in 2017 by Elsonbaty and Daoud (Ars Combinatoria 130:79–96, ...even graceful labeling for some path-related graphs like Y- ... See full document

... 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 labeling. For a dynamic ... See full document

... Labeled graphs serve as useful models for broad range of applications such as coding theory, X-ray, crystallography, radar, astronomy, circuit design, communication networks and data base management and models for ... See full document

... Experiment 3 and 4, show the rate of incorporation to 25% and bring to the end product a value raised out of minerals (0,71%), out of protein (16,875%), in fatty-acids (4,605%), out of Iron (0,6525%), out of Calcium ... 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 graceful labeling of ʘ and of the graph obtained by ... See full document

... f  f  and the induced edge labels are 1, 2, 3,…, q, where v f (a) be the number of vertices v with f(v ) = a for a  A . The vertex labeling f is known as vertex equitable labeling. A graph G is said to be a vertex ... 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

... 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

... edge graceful if there is an injection f from E to {1,2,3,…,2q} such that the values of the induced mapping f* from V to {0,1,2,…,2q-1} given by f*(v i ) = 𝑓(𝑒 𝑖𝑗 ) (mod ... See full document

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

... The concept of Set Graceful and Set Sequential Gr aphs w e r e introduced by B D Acharya in 1983. Let G = (V, E) be a graph, X be a non empty set and 2X denote the set of all subsets of X .A set indexer of G is an ... See full document