Further, even though it is intellectually accepted that we have methodological means to combat these factors and provide benefits during the evolutionary process, development managers still choose short term goals over these long term benefits. Given a choice between getting a system out as early as possible and doing a proper design that will evolve gracefully, the first is invariably chosen a...

The even 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 assigned the label |f(u) – f(v)| the resulting edge labels are {1,3,5,...,2q-1}. A graph which admits an edge odd graceful labeling is called an edge-odd graceful graph. In this paper, the edge odd gracefulness of paths p1, p2, p3,..., ...

Objectives: To identify a new family of Arithmetic sequential graceful graphs. Methods: The methodology involves mathematical formulation for labeling the vertices given graph and subsequently establishing that these formulations give rise to arithmetic labeling. Findings: In this study, we analyzed some star related graphs namely Star graph, Ustar, t-star, double proved possess Novelty: Here, ...

In this paper, we show that the class of Extended Duplicate Graph of a Twig is Graceful and Skolem-graceful. AMS SUBJECT CLASSIFICATION: 05C78.