Graceful Labeling of Assignable Information Hiding in Image

Hiding Information in Image Mosaics

Information hiding techniques allow a player to hide secret information in some innocent-looking document. In this paper we present a novel approach to information hiding. We investigate the possibility of embedding information using the intrinsic entropy of some classes of cover-documents. In particular we provide algorithms for embedding any binary string in an image mosaic (i.e. an image con...

Graceful Tree Labeling

Graceful and odd graceful labeling of some graphs

In this paper, we prove that the square graph of bistar Bn,n, the splitting graph of Bn,n and the splitting graph of star K1,n are graceful graphs. We also prove that the splitting graph and the shadow graph of bistar Bn,n admit odd graceful labeling.

Odd Graceful Labeling of Acyclic Graphs

Let G = (V, E) be a finite, simple and undirected graph. A graph G with q edges is said to be odd-graceful if there is an injection f : V (G) → {0, 1, 2, . . . , 2q− 1} such that, when each edge xy is assigned the label |f (x)− f (y)| , the resulting edge labels are {1, 3, 5, . . . , 2q− 1} and f is called an odd graceful labeling of G. Motivated by the work of Z. Gao [6] in which he studied th...

Square Graceful Labeling of Some Graphs

A p. q graph G = V,E is said to be a square graceful graph ifthere exists an injective function f: V G → 0,1,2,3,... , q such that the induced mapping fp : E G → 1,4,9,... , q 2 defined by fp uv = f u − f v is an injection. The function f is called a square graceful labeling of G. In this paper the square graceful labeling of the caterpillar S X1,X2 ,... ,Xn , the graphs Pn−1 1,2,...n ,mK1,n ∪ ...